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adeterminerUS /ə/
used before a singular noun to mean one of a group, when it is not a particular one
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
all
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From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
Also
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From this reading Also mark off the point G so that DG shall equal DC.
althoughnounUS /ˈalthough/
a story-specific word describing an important person, object, action, or idea in this passage
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
andconjunctionUS /ənd/
used to join words or parts of a sentence that go together
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
any
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From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
asconjunctionUS /æz/
at the same time that; because; in the way that
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
BC
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
BCF
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
BEauxiliary verbUS /biː/
used with a past participle to form the passive, or with -ing for continuous tenses
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
beingauxiliary verbUS /ˈbiːɪŋ/
the -ing form of “be”
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
BF
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
byprepositionUS /baɪ/
showing who or what does the action
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
card
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
cardboard
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From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
CD
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From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
CF
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
CG
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From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
connection
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From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
corner
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From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
curious
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From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
cut
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From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
cuts
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From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
D
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From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
DC
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From this reading Also mark off the point G so that DG shall equal DC.
DG
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From this reading Also mark off the point G so that DG shall equal DC.
dotted
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From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
draw
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
equal
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
equilateral
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
fact
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From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
Fix
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From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
forprepositionUS /fɔːr/
intended to be given to, or used by, somebody
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
fromprepositionUS /frʌm/
showing where something starts, or who sent it
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
G
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From this reading Also mark off the point G so that DG shall equal DC.
given
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From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
H
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
HA
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From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
haveauxiliary verbUS /hæv/
used with a past participle to form the perfect tenses
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
IpronounUS /aɪ/
the person speaking or writing, as the subject of the verb
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
IfconjunctionUS /ɪf/
on condition that; in the event that
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
inprepositionUS /ɪn/
inside something, or within a place, period, or state
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
independent
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
indicated
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From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
isauxiliary verbUS /ɪz/
the form of “be” used with he, she, it, or a singular noun
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
itpronounUS /ɪt/
a thing, animal, or idea already mentioned
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
line
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
made
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
makenounUS /make/
an important story-specific word used in this passage
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
mark
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Also mark off the point G so that DG shall equal DC.
maymodal verbUS /meɪ/
used to say something is possible, or to give permission
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
method
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
more
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
mustmodal verbUS /mʌst/
used to say something is necessary, or almost certainly true
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
now
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
obvious
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
ofprepositionUS /ʌv/
belonging to, or connected with, somebody or something
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
off
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Also mark off the point G so that DG shall equal DC.
onprepositionUS /ɑːn/
touching and supported by a surface
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
other
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
ourdeterminerUS /ˈaʊər/
belonging to the speaker and others
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
paper
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
parallel
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
partly
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
piece
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
pointnounUS /pɔɪnt/
the main matter or purpose being discussed
From this reading Also mark off the point G so that DG shall equal DC.
position
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From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
preferred
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
problem
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
produce
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
reason
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
seen
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
shallmodal verbUS /ʃæl/
used with I and we for the future, or to offer and suggest
From this reading Also mark off the point G so that DG shall equal DC.
side
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
soconjunctionUS /soʊ/
for that reason; with the result that
From this reading Also mark off the point G so that DG shall equal DC.
solution
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
solved
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
thanconjunctionUS /ðæn/
used to introduce the second part of a comparison
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
thatconjunctionUS /ðæt/
used to introduce what somebody said, thought, or felt
From this reading Also mark off the point G so that DG shall equal DC.
thedeterminerUS /ðə/
used before a noun that is already known, already mentioned, or the only one of its kind
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
then
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
thisdeterminerUS /ðɪs/
used for a person or thing that is near, or that has just been mentioned
From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
toparticleUS /tuː/
used before the base form of a verb to make the infinitive
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
triangle
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
untilprepositionUS /ənˈtɪl/
up to a particular time
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
wepronounUS /wiː/
the speaker together with one or more other people
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
whichpronounUS /wɪtʃ/
used to introduce a clause giving more about a thing just mentioned
From this reading Draw the line CG and produce it until it cuts the line BF in H. If we now make HA parallel to BE, then A is the point from which our cut must be made to the corner D, as indicated by the dotted line.
why
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
withprepositionUS /wɪð/
in the company of; together with
From this reading A curious point in connection with this problem is the fact that the position of the point A is independent of the side CD.
working
Dictionary entry pending editorial verification. Tap Listen to hear the word.
From this reading The reason for this is more obvious in the solution I have given than in any other method that I have seen, and (although the problem may be solved with all the working on the cardboard) that is partly why I have preferred it.
yourdeterminerUS /jɔːr/
belonging to the person or people being spoken to
From this reading Fix your card on a piece of paper and draw the equilateral triangle BCF, BF and CF being equal to BC.
