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 39.
Σελίδα 14
... likewise greater than the angle a cb . Much greater then is the angle a bc than a cb . Therefore the greater side , & c . Q. E. D. b C PROPOSITION XIX . - THEOREM . The greater angle of every triangle is subtended by the greater side ...
... likewise greater than the angle a cb . Much greater then is the angle a bc than a cb . Therefore the greater side , & c . Q. E. D. b C PROPOSITION XIX . - THEOREM . The greater angle of every triangle is subtended by the greater side ...
Σελίδα 18
... 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 bc would b d be equal ( i . 4 ) to ef ; but it is not ...
... 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 bc would b d be equal ( i . 4 ) to ef ; but it is not ...
Σελίδα 19
... likewise in this case , the other sides shall be equal , ac to df , and bc to ef ; and also the third angle bac to the third ed f a d b h C f For , if b c be not equal to ef , let bc be the greater of them , and make bh equal to ef ...
... likewise in this case , the other sides shall be equal , ac to df , and bc to ef ; and also the third angle bac to the third ed f a d b h C f For , if b c be not equal to ef , let bc be the greater of them , and make bh equal to ef ...
Σελίδα 21
... likewise the two interior angles upon the same side together equal to two right angles . LET the straight line ef fall upon the parallel straight lines a b , cd ; the alternate angles agh , ghd , are equal to one another ; and the ...
... likewise the two interior angles upon the same side together equal to two right angles . LET the straight line ef fall upon the parallel straight lines a b , cd ; the alternate angles agh , ghd , are equal to one another ; and the ...
Σελίδα 28
... likewise equal ( i . 38 ) to the triangle a ec , since they are upon equal bases be , ec , and between the same parallels , bc , ag ; there- fore the triangle abc is double of the triangle a e c . And the parallelo- gram fecg is likewise ...
... likewise equal ( i . 38 ) to the triangle a ec , since they are upon equal bases be , ec , and between the same parallels , bc , ag ; there- fore the triangle abc is double of the triangle a e c . And the parallelo- gram fecg is likewise ...
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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