The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 2
... adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII ...
... adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII ...
Σελίδα 10
... angles to a given straight line , from a given point in the same . de LET a b be a given straight line , and c a ... adjacent angles . But , when the adjacent angles which one straight line makes with another straight line are equal to ...
... angles to a given straight line , from a given point in the same . de LET a b be a given straight line , and c a ... adjacent angles . But , when the adjacent angles which one straight line makes with another straight line are equal to ...
Σελίδα 11
... adjacent angles ; but when ( 10 def . ) a straight line standing on another straight line makes the adjacent angles equal to one another , each of them is a right angle ; and the straight line which stands upon the other is called a ...
... adjacent angles ; but when ( 10 def . ) a straight line standing on another straight line makes the adjacent angles equal to one another , each of them is a right angle ; and the straight line which stands upon the other is called a ...
Σελίδα 12
... adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight ... angles cea , a ed , these angles are together equal ( i . 13 ) to two right angles . Again , because the straight ...
... adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight ... angles cea , a ed , these angles are together equal ( i . 13 ) to two right angles . Again , because the straight ...
Σελίδα 18
... angles def , efd , viz . abc to def , and bca to efd ; also one b third angle e df . f side equal to one side ; and first let those sides be equal which are adjacent to the angles that are equal in the two triangles : viz . bc to ef ...
... angles def , efd , viz . abc to def , and bca to efd ; also one b third angle e df . f side equal to one side ; and first let those sides be equal which are adjacent to the angles that are equal in the two triangles : viz . bc to ef ...
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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