The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 11 - 15 από τα 88.
Σελίδα 17
... equal ( i . 8 ) to the angle fag . Therefore , at the given point a in the given straight line a b , the angle fag ... bc is also greater than the base ef . Of the two sides de , df , let de be the side which is not greater than the other , ...
... equal ( i . 8 ) to the angle fag . Therefore , at the given point a in the given straight line a b , the angle fag ... bc is also greater than the base ef . Of the two sides de , df , let de be the side which is not greater than the other , ...
Σελίδα 18
... equal to de , and ac to df ; but the 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 ...
... equal to de , and ac to df ; but the 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 ...
Σελίδα 19
... equal to it ; and bc is equal to ef ; therefore the two ab , bc are equal to the two de , ef , each to each ; and the angle abc is equal to the angle def ; the base therefore ac is equal ( i . 4 ) to the base df , and the third angle ...
... equal to it ; and bc is equal to ef ; therefore the two ab , bc are equal to the two de , ef , each to each ; and the angle abc is equal to the angle def ; the base therefore ac is equal ( i . 4 ) to the base df , and the third angle ...
Σελίδα 22
... equal to the angle a dc ; and produce the straight line ea to f Because the straight line ad , which meets the two straight lines bc , ef , makes the alternate angles e a d , adc equal to one another , ef is parallel ( i . 27 ) to bc ...
... equal to the angle a dc ; and produce the straight line ea to f Because the straight line ad , which meets the two straight lines bc , ef , makes the alternate angles e a d , adc equal to one another , ef is parallel ( i . 27 ) to bc ...
Σελίδα 23
... equal to twice as many right angles as there are triangles , that is , as there are sides of the figure and the same ... bc , with its adjacent exterior a bd , is equal ( i . 13 ) to two right angles ; therefore all the interior ...
... equal to twice as many right angles as there are triangles , that is , as there are sides of the figure and the same ... bc , with its adjacent exterior a bd , is equal ( i . 13 ) to two right angles ; therefore all the interior ...
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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