The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 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 , by ...
... 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 , by ...
Σελίδα 22
... rectilineal figure , together with four right angles , are equal to twice as many 22 THE ELEMENTS OF EUCLID .
... rectilineal figure , together with four right angles , are equal to twice as many 22 THE ELEMENTS OF EUCLID .
Σελίδα 23
... figure has sides . e d For any rectilineal figure abcde , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point f within the figure to each of its angles . And , by the preceding ...
... figure has sides . e d For any rectilineal figure abcde , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point f within the figure to each of its angles . And , by the preceding ...
Σελίδα 29
... figure abcd , which are therefore called the complements . The complement bk is equal to the complement k d ... rectilineal angle . LET ab be the given straight line , and c the given triangle , and d the given rectilineal angle . It is ...
... figure abcd , which are therefore called the complements . The complement bk is equal to the complement k d ... rectilineal angle . LET ab be the given straight line , and c the given triangle , and d the given rectilineal angle . It is ...
Σελίδα 30
... 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 a b c d , and having an ...
... 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 a b c d , and having an ...
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a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc circumference bc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle