Chapter III · Chapter 3

used before a singular noun to mean one of a group, when it is not a particular one

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

on the subject of; concerning

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

perfect or complete or pure

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

an increase in rate of change

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

highly skilled

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

the quality of being near to the true value

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

conforming exactly or almost exactly to fact or to a standard or performing with total accuracy

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

a written work (as a novel) that has been recast in a new form

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

move forward, also in the metaphorical sense

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

(quantifier) used with either mass or count nouns to indicate the whole number or amount of or every one of a class

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

the form of “a” used before a word that begins with a vowel sound

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

used to join words or parts of a sentence that go together

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

the form of “be” used with you, we, they, or a plural noun

From this reading Thus, in the density of the globes, we have the measure in which their purposes are fulfilled.

at the same time that; because; in the way that

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

used with a past participle to form the passive, or with -ing for continuous tenses

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

used to introduce something that contrasts with what came before

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

get the meaning of something

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

(psychoanalysis) an unconscious process whereby two ideas or images combine into a single symbol; especially in dreams

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

-ing form of “constitute” — form or compose

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

the quality of serving to build or improve

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

education imparted in a series of lessons or meetings

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

past form of “create” — make or cause to be or to become

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

the human act of creating

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

reach, make, or come to a decision about something

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

the amount per unit size

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

plural of “design” — the act of working out the form of something (as by making a sketch or outline or plan)

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

act of improving by expanding or enlarging or refining

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

an effort that is inconvenient

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

third-person singular of “diminish” — decrease in size, extent, or range

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

plural of “distance” — the property created by the space between two objects or points

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

a discrimination between things as different and distinct on the basis of their characteristics or attributes

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

emanating from God

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

every one of two or more people or things, taken separately

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

with ease (“easy” is sometimes used informally for “easily”)

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

either extremity of something that has length

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

an approximate calculation of quantity or degree or worth

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

regard something as probable or likely

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

the feelings expressed on a person's face

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

come upon, as if by accident; meet with

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

referring to the first of two things or persons mentioned (or the earlier one or ones of several)

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

showing where something starts, or who sent it

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

completed to perfection

From this reading Thus, in the density of the globes, we have the measure in which their purposes are fulfilled.

a feeling of satisfaction at having achieved your desires

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

cause to have, in the abstract sense or physical sense

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

plural of “globe” — the 3rd planet from the sun; the planet we live on

From this reading Thus, in the density of the globes, we have the measure in which their purposes are fulfilled.

the state of affairs that a plan is intended to achieve and that (when achieved) terminates behavior intended to achieve it

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

used with a past participle to form the perfect tenses

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

the quality of being diverse and not comparable in kind

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

used to add a contrasting statement

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

characteristic of humanity

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

inside something, or within a place, period, or state

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

a numerical scale used to compare variables with one another or with some reference number

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

plural of “intention” — an anticipated outcome that is intended or that guides your planned actions

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

in an inverse or contrary manner

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

the form of “be” used with he, she, it, or a singular noun

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

a thing, animal, or idea already mentioned

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

cause to continue in a certain state, position, or activity; e.g., “keep clean”

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

referring to the second of two things or persons mentioned (or the last one or ones of several)

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

used to form the comparative of some adjectives and adverbs

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

of or pertaining to or of the nature of mathematics

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

with respect to mathematics

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

any maneuver made as part of progress toward a goal

From this reading Thus, in the density of the globes, we have the measure in which their purposes are fulfilled.

and nothing more

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

The element of a person that enables awareness and thought.

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

(comparative of “much” used with mass nouns) a quantifier meaning greater in size or amount or extent or degree

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

not any; not one

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

used to make a word, phrase, or sentence negative

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

belonging to, or connected with, somebody or something

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

and nothing more

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

not the same one or ones already mentioned or implied

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

the rate of moving (especially walking or running)

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

of or relating to philosophy or philosophers

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

the income or profit arising from such transactions as the sale of land or other property

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

properly related in size or degree or other measurable characteristics; usually followed by “to”

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

plural of “purpose” — an anticipated outcome that is intended or that guides your planned actions

From this reading Thus, in the density of the globes, we have the measure in which their purposes are fulfilled.

the relative magnitudes of two quantities (usually expressed as a quotient)

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

without much difficulty

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

any object that is left unused or still extant

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

in the order given

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

Identical; not different.

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

used to say what is right, expected, or advisable

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

for that reason; with the result that

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

concerned with sacred matters or religion or the church

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

plural of “square” — (geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

plural of “stamp” — the distinctive form in which a thing is made

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

plural of “star” — (astronomy) a celestial body of hot gases that radiates energy derived from thermonuclear reactions in the interior

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

not in physical motion

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

used to introduce what somebody said, thought, or felt

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

used before a noun that is already known, already mentioned, or the only one of its kind

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

belonging to the people or things already mentioned

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

in or at that place or location

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.

any movable possession (especially articles of clothing)

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

used for a person or thing that is near, or that has just been mentioned

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

from one end or side of something to the other

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

in every part of a place, or for the whole of a period

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

(used to introduce a logical conclusion) from that fact or reason or as a result

From this reading Thus, in the density of the globes, we have the measure in which their purposes are fulfilled.

used before the base form of a verb to make the infinitive

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

the cognitive condition of someone who understands

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

the speaker together with one or more other people

From this reading Throughout all this we have no difficulty in understanding the absolute accuracy of the Divine _adaptation_.

used to introduce a clause giving more about a thing just mentioned

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

used to talk about the future, or about willingness

From this reading _As_ density proceeds—_as_ the divine intentions _are_ accomplished—_as_ less and still less remains _to be_ accomplished—so—in the same ratio—should we expect to find an acceleration of _the End_:—and thus the philosophical mind will easily comprehend that the Divine designs in constituting the stars, advance _mathematically_ to their fulfilment:—and more; it will readily give the advance a mathematical expression; it will decide that this advance is inversely proportional with the squares of the distances of all created things from the starting-point and goal of their creation.

in the company of; together with

From this reading The density of the stars, respectively, proceeds, of course, as their condensation diminishes; condensation and heterogeneity keep pace with each other; through the latter, which is the index of the former, we estimate the vitalic and spiritual development.

exert oneself by doing mental or physical work for a purpose or out of necessity

From this reading Not only is this Divine adaptation, however, mathematically accurate, but there is that about it which stamps it _as divine_, in distinction from that which is merely the work of human constructiveness.