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Amusements in Mathematics
Amusements in Mathematics

Chapter VII

Cover illustration for Amusements in Mathematics
Context Illustration Reading 1/83 · 5 lines
English subtitles · tap any word to listen 1 / 5
Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.
You are not allowed to cross your hands, nor to hang up one at a time.
Can you solve this old puzzle, which I give as introductory to the next?
Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.
237.--BOYS AND GIRLS.
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AI-generated narration by OpenAI · Slow US English
LEARNER DICTIONARY
Archivist
/ˈɑːrkɪvɪst/
Editorial verification pending

A keeper or guardian of historical records and memories.

Amusements in Mathematics

Chapter VII

Reading 1/83 · 5 reading units · Lines 1–5

Line 1
Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.
Line 2
You are not allowed to cross your hands, nor to hang up one at a time.
Line 3
Can you solve this old puzzle, which I give as introductory to the next?
Line 4
Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.
Line 5
237.--BOYS AND GIRLS.

Learner Dictionary

Oxford-style entry order: headword, part of speech, US IPA, concise definition, contextual example, audio, and collocations from this reading.

Colours noun US /ˈcolours/

a story-specific word describing an important person, object, action, or idea in this passage

From this reading “Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.”

Hand noun US /hand/

an important story-specific word used in this passage

From this reading “Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.”

Hands plural noun US /hændz/

members of a ship’s crew

From this reading “You are not allowed to cross your hands, nor to hang up one at a time.”

Left noun US /left/

an important story-specific word used in this passage

From this reading “Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.”

Must modal verb US /mʌst/

used to say something is necessary, or almost certainly true

From this reading “Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.”

Next noun US /next/

an important story-specific word used in this passage

From this reading “Can you solve this old puzzle, which I give as introductory to the next?”

One pronoun US /wʌn/

used to mean any person in general, including the speaker

From this reading “Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.”

Remember verb US /rɪˈmɛm.bər/

To recall to mind.

From this reading “Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.”

Take noun US /take/

an important story-specific word used in this passage

From this reading “Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.”

Time noun US /time/

an important story-specific word used in this passage

From this reading “You are not allowed to cross your hands, nor to hang up one at a time.”

Without preposition US /wɪˈθaʊt/

not having, not using, or not accompanied by

From this reading “Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.”

All words in this reading · 67

Every word is available to listen to. Dictionary details are shown only when verified; these are not licensed Oxford entries.

237

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

From this reading 237.--BOYS AND GIRLS.

adeterminerUS /ə/

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

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

allowed

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

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

always

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

andconjunctionUS /ənd/

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

areauxiliary verbUS /ɑːr/

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

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

asconjunctionUS /æz/

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

From this reading Can you solve this old puzzle, which I give as introductory to the next?

atprepositionUS /æt/

in or near a particular place or position

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

beauxiliary verbUS /biː/

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

BOYS

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

From this reading 237.--BOYS AND GIRLS.

Canmodal verbUS /kæn/

to be able to, or to be allowed to

From this reading Can you solve this old puzzle, which I give as introductory to the next?

coins

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

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

coloursnounUS /ˈcolours/

a story-specific word describing an important person, object, action, or idea in this passage

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

contiguous

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

counters

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

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

cross

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

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

eachdeterminerUS /iːtʃ/

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

empty

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

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

end

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

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

GIRLS

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

From this reading 237.--BOYS AND GIRLS.

give

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

From this reading Can you solve this old puzzle, which I give as introductory to the next?

hand

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

handsplural nounUS /hændz/

members of a ship’s crew

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

hang

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

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

hats

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

IpronounUS /aɪ/

the person speaking or writing, as the subject of the verb

From this reading Can you solve this old puzzle, which I give as introductory to the next?

inprepositionUS /ɪn/

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

introductory

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

From this reading Can you solve this old puzzle, which I give as introductory to the next?

itpronounUS /ɪt/

a thing, animal, or idea already mentioned

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

leftnounUS /left/

an important story-specific word used in this passage

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

mustmodal verbUS /mʌst/

used to say something is necessary, or almost certainly true

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

new

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

nextnounUS /next/

an important story-specific word used in this passage

From this reading Can you solve this old puzzle, which I give as introductory to the next?

norconjunctionUS /nɔːr/

and not; used after a negative to add a second negative

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

notadverbUS /nɑːt/

used to make a word, phrase, or sentence negative

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

ofprepositionUS /ʌv/

belonging to, or connected with, somebody or something

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

old

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

From this reading Can you solve this old puzzle, which I give as introductory to the next?

onprepositionUS /ɑːn/

touching and supported by a surface

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

onepronounUS /wʌn/

used to mean any person in general, including the speaker

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

ones

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

orconjunctionUS /ɔːr/

used to join alternatives or possibilities

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

pegs

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

place

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

position

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

puzzle

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

From this reading Can you solve this old puzzle, which I give as introductory to the next?

relative

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

RememberverbUS /rɪˈmɛm.bər/

To recall to mind.

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

removed

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

reversing

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

row

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

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

solve

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

From this reading Can you solve this old puzzle, which I give as introductory to the next?

takenounUS /take/

an important story-specific word used in this passage

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

thatconjunctionUS /ðæt/

used to introduce what somebody said, thought, or felt

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

thedeterminerUS /ðə/

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

theirdeterminerUS /ðer/

belonging to the people or things already mentioned

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

thempronounUS /ðem/

the people or things already mentioned, as the object

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

thisdeterminerUS /ðɪs/

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

From this reading Can you solve this old puzzle, which I give as introductory to the next?

timenounUS /time/

an important story-specific word used in this passage

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

toparticleUS /tuː/

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

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

Try

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

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

two

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

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

up

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

From this reading You are not allowed to cross your hands, nor to hang up one at a time.

whichpronounUS /wɪtʃ/

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

From this reading Can you solve this old puzzle, which I give as introductory to the next?

withprepositionUS /wɪð/

in the company of; together with

From this reading Try it with counters of two colours or with coins, and remember that the two empty pegs must be left at one end of the row.

withoutprepositionUS /wɪˈθaʊt/

not having, not using, or not accompanied by

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

youpronounUS /juː/

the person or people being spoken to

From this reading Remember, the two hats removed must always be contiguous ones, and you must take one in each hand and place them on their new pegs without reversing their relative position.

yourdeterminerUS /jɔːr/

belonging to the person or people being spoken to

From this reading You are not allowed to cross your hands, nor to hang up one at a time.