The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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Página 2
... figure is that which is enclosed by one or more boundaries . XV . A circle is a plain figure contained by one line ... Rectilineal figures , are those which are contained by straight lines . XXI . Trilateral figures , or triangles ...
... figure is that which is enclosed by one or more boundaries . XV . A circle is a plain figure contained by one line ... Rectilineal figures , are those which are contained by straight lines . XXI . Trilateral figures , or triangles ...
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... given point parallel to a given straight line . LET a be the given point , and be the given straight line ; it is ... rectilineal figure , together with four right angles , are equal to twice as many 22 THE ELEMENTS OF EUCLID .
... given point parallel to a given straight line . LET a be the given point , and be the given straight line ; it is ... rectilineal figure , together with four right angles , are equal to twice as many 22 THE ELEMENTS OF EUCLID .
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... figure has sides . For any rectilineal figure abcde , can be divided into as many triangles as the figure has e sides , by drawing straight lines from a point f within the figure to each of its angles . And , by the preceding ...
... figure has sides . For any rectilineal figure abcde , can be divided into as many triangles as the figure has e sides , by drawing straight lines from a point f within the figure to each of its angles . And , by the preceding ...
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... figure abcd , which are therefore called the complements . The complement bk is equal to the complement k d ... given straight line to apply a parallelogram , which shall be equal to a given triangle , and have one of its angles equal to a ...
... figure abcd , which are therefore called the complements . The complement bk is equal to the complement k d ... given straight line to apply a parallelogram , which shall be equal to a given triangle , and have one of its angles equal to a ...
Página 30
... given rectilineal figure , and having an angle equal to a given rectilineal angle . LET abcd be the given rectilineal figure , and e the given rectilineal angle . It is required to describe a parallelogram equal to abcd , and having ...
... given rectilineal figure , and having an angle equal to a given rectilineal angle . LET abcd be the given rectilineal figure , and e the given rectilineal angle . It is required to describe a parallelogram equal to abcd , and having ...
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Términos y frases comunes
ac is equal adjacent angles alternate angles angle abc angle acb angle bac angle edf angle equal base bc bisected centre circle abc diameter double draw duplicate ratio equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given rectilineal figure given straight line gnomon greater ratio greater than f ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle contained remaining angle right angles segment semicircle shewn side bc similar and similarly square of ac straight line ab straight line ac straight line drawn THEOREM tiple touches the circle triangle abc triangle def twice the rectangle