The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 6 - 10 από τα 58.
Σελίδα 11
... base c f is equal ( 15 def . ) to the base c g ; therefore the angle chf is equal ( i . 8 ) to the angle chg ; and they are adjacent angles ; but when ( 10 def . ) a straight line standing on another straight line makes the adjacent ...
... base c f is equal ( 15 def . ) to the base c g ; therefore the angle chf is equal ( i . 8 ) to the angle chg ; and they are adjacent angles ; but when ( 10 def . ) a straight line standing on another straight line makes the adjacent ...
Σελίδα 13
... base ab is equal ( i . 4 ) to the base c f , and the triangle aeb to the triangle cef , and the re- maining angles to the remaining angles , each to each , to which the equal sides are opposite ; wherefore the angle bae is equal to the ...
... base ab is equal ( i . 4 ) to the base c f , and the triangle aeb to the triangle cef , and the re- maining angles to the remaining angles , each to each , to which the equal sides are opposite ; wherefore the angle bae is equal to the ...
Σελίδα 17
... base fg ; the angle dce is equal ( i . 8 ) to the angle fag . Therefore , at the given point a in the given straight ... base of that which has the greater angle shall be greater than the base of the other . LET abc , def be two ...
... base fg ; the angle dce is equal ( i . 8 ) to the angle fag . Therefore , at the given point a in the given straight ... base of that which has the greater angle shall be greater than the base of the other . LET abc , def be two ...
Σελίδα 18
... base bc greater than the base ef ; the angle bac is likewise greater than the angle ed f . For , if it be not greater , it must either be equal to it , or less ; but the angle bac is not equal to the angle e df ; because then the base ...
... base bc greater than the base ef ; the angle bac is likewise greater than the angle ed f . For , if it be not greater , it must either be equal to it , or less ; but the angle bac is not equal to the angle e df ; because then the base ...
Σελίδα 19
... base ah is equal to the base df , and the triangle a bh to the triangle def , and the other angles shall be equal , each to each , to which the equal sides are opposite ; therefore the angle bha is equal to the angle efd ; but efd is ...
... base ah is equal to the base df , and the triangle a bh to the triangle def , and the other angles shall be equal , each to each , to which the equal sides are opposite ; therefore the angle bha is equal to the angle efd ; but efd is ...
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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