The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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Página 2
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the ...
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the ...
Página 4
... centre , at any dis- tance from that centre . AXIOMS . I. Things which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
... centre , at any dis- tance from that centre . AXIOMS . I. Things which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
Página 5
... centre b , at the distance bc , describe ( 3 post . ) the circle cgh , and from the centre d , at the distance dg , describe the circle gkl . al shall be equal to bc . Because the point b is the centre of the circle cgh , bc is equal ...
... centre b , at the distance bc , describe ( 3 post . ) the circle cgh , and from the centre d , at the distance dg , describe the circle gkl . al shall be equal to bc . Because the point b is the centre of the circle cgh , bc is equal ...
Página 11
... centre c , at the distance cd , describe ( 3 post . ) the circle e gf meet- ing a bin f , g ; and bisect ( i . 10 ) fg in h , and join cf , ch , cg ; the straight line ch , drawn from the given point c , is perpendicular to the given ...
... centre c , at the distance cd , describe ( 3 post . ) the circle e gf meet- ing a bin f , g ; and bisect ( i . 10 ) fg in h , and join cf , ch , cg ; the straight line ch , drawn from the given point c , is perpendicular to the given ...
Página 16
... centre f , at the distance fd , describe ( 3 post . ) the circle dkl ; f 63 g 1 a b C and from the centre g , at the distance gh , describe ( 3 post . ) another circle hlk ; and join kf , kg ; the triangle kfg has its sides equal to the ...
... centre f , at the distance fd , describe ( 3 post . ) the circle dkl ; f 63 g 1 a b C and from the centre g , at the distance gh , describe ( 3 post . ) another circle hlk ; and join kf , kg ; the triangle kfg has its sides equal to the ...
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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