The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 6
... third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite . b a се d f def , and the angle a cb to dfe . LET abc , def be two ...
... third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite . b a се d f def , and the angle a cb to dfe . LET abc , def be two ...
Σελίδα 14
... third side . LET abc be a triangle ; any two sides of it together are greater than the third side , viz . the sides ba , ac greater than the side bc ; and ab , bc greater than a c ; and bc , ca greater than a b . Produce ba to the point ...
... third side . LET abc be a triangle ; any two sides of it together are greater than the third side , viz . the sides ba , ac greater than the side bc ; and ab , bc greater than a c ; and bc , ca greater than a b . Produce ba to the point ...
Σελίδα 15
... third side , the two sides ba , a e , of the triangle abe are greater than be . To each of these add ec ; there ... third ( i . 20. ) . LET a , b , be the three given straight lines , of which any two whatever are greater than the third ...
... third side , the two sides ba , a e , of the triangle abe are greater than be . To each of these add ec ; there ... third ( i . 20. ) . LET a , b , be the three given straight lines , of which any two whatever are greater than the third ...
Σελίδα 18
... third angle of the one to the third angle of the other . LET abc , def be two triangles which have the angles abc , bca equal to the angles def , efd , viz . abc to def , and bca to efd ; also one b third angle e df . f side equal to ...
... third angle of the one to the third angle of the other . LET abc , def be two triangles which have the angles abc , bca equal to the angles def , efd , viz . abc to def , and bca to efd ; also one b third angle e df . f side equal to ...
Σελίδα 19
... third angle bac to the third angle ed f . Next , let the sides which are opposite to equal angles in each triangle be equal to one another , viz . ab to de ; likewise in this case , the other sides shall be equal , ac to df , and bc to ...
... third angle bac to the third angle ed f . Next , let the sides which are opposite to equal angles in each triangle be equal to one another , viz . ab to de ; likewise in this case , the other sides shall be equal , ac to df , and bc to ...
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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