The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 7
... common to the two triangles a fc , agb ; there- fore the base fc is equal ( i . 4 ) to the base gb , and the triangle afc to the triangle a gb ; and the remaining angles of the one are equal ( i . 4 ) to the remaining angles of the ...
... common to the two triangles a fc , agb ; there- fore the base fc is equal ( i . 4 ) to the base gb , and the triangle afc to the triangle a gb ; and the remaining angles of the one are equal ( i . 4 ) to the remaining angles of the ...
Σελίδα 9
... common to the two triangles da f , eaf ; the two sides da , af , are equal to the two sides ea , af , each to each ; and the base df is equal to the base ef ; therefore the angle daf is equal ( i . 8 ) to the angle eaf ; wherefore the ...
... common to the two triangles da f , eaf ; the two sides da , af , are equal to the two sides ea , af , each to each ; and the base df is equal to the base ef ; therefore the angle daf is equal ( i . 8 ) to the angle eaf ; wherefore the ...
Σελίδα 10
... common to the two triangles acd , bcd ; the two sides a c , cd are equal to bc , cd , each to each ; and the angle acd is equal to the angle bed ; therefore the base a d is equal to the base ( i . 4 ) d b , and the b straight line a b ...
... common to the two triangles acd , bcd ; the two sides a c , cd are equal to bc , cd , each to each ; and the angle acd is equal to the angle bed ; therefore the base a d is equal to the base ( i . 4 ) d b , and the b straight line a b ...
Σελίδα 11
... common to the two triangles fhc , ghc , the two sides fh , hc are equal to the two gh , hc , each to each ; and the 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 ...
... common to the two triangles fhc , ghc , the two sides fh , hc are equal to the two gh , hc , each to each ; and the 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 ...
Σελίδα 12
... common angle cba , the remaining angle a be is equal ( 3 ax . ) to the remaining angle ab d , the less to the greater , which is im- possible ; therefore be is not in the same straight line with bc . And in like manner it may be ...
... common angle cba , the remaining angle a be is equal ( 3 ax . ) to the remaining angle ab d , the less to the greater , which is im- possible ; therefore be is not in the same straight line with bc . And in like manner it may be ...
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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