The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 7
... join fc , gb . f b a c مع Because af is equal to a g , and ab to a c , the two sides fa , a c are equal to the two ga , ab , each to each ; and they contain the angle fag common to the two triangles a fc , agb ; there- fore the base fc ...
... join fc , gb . f b a c مع Because af is equal to a g , and ab to a c , the two sides fa , a c are equal to the two ga , ab , each to each ; and they contain the angle fag common to the two triangles a fc , agb ; there- fore the base fc ...
Σελίδα 8
... Join cd ; then , in the case in which the vertex of each of the triangles is without the other triangle , because ac is equal to a d , the angle a cd is equal ( i . 5 ) to the angle a dc : but the angle a cd is greater than the angle ...
... Join cd ; then , in the case in which the vertex of each of the triangles is without the other triangle , because ac is equal to a d , the angle a cd is equal ( i . 5 ) to the angle a dc : but the angle a cd is greater than the angle ...
Σελίδα 9
... join de , and upon it describe ( i . 1 ) an equilateral triangle def ; then join af ; the straight line af bisects the angle bac Because ad is equal to a e , and af is common to the two triangles da f , eaf ; the two sides da , af , are ...
... join de , and upon it describe ( i . 1 ) an equilateral triangle def ; then join af ; the straight line af bisects the angle bac Because ad is equal to a e , and af is common to the two triangles da f , eaf ; the two sides da , af , are ...
Σελίδα 10
... join fc , the straight line fc drawn from the given point c is at right angles to the given straight line a b . a d e b Because dc is equal to ce , and fc common to the two triangles d cf , ecf ; the two sides dc , cf , are equal to the ...
... join fc , the straight line fc drawn from the given point c is at right angles to the given straight line a b . a d e b Because dc is equal to ce , and fc common to the two triangles d cf , ecf ; the two sides dc , cf , are equal to the ...
Σελίδα 11
... join cf , ch , cg ; the straight line ch , drawn from the given point c , is perpendicular to the given straight line a b a h f d g b Because fh is equal to hg , and he common to the two triangles fhc , ghc , the two sides fh , hc are ...
... join cf , ch , cg ; the straight line ch , drawn from the given point c , is perpendicular to the given straight line a b a h f d g b Because fh is equal to hg , and he common to the two triangles fhc , ghc , the two sides fh , hc are ...
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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