The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 6
a b to de , and a c to df ; and the angle bac equal to the angle e df , the base b c shall be equal to the base ef ; and the triangle a b c to the triangle def ; and the other angles to which the equal b C e f sides are opposite , shall ...
a b to de , and a c to df ; and the angle bac equal to the angle e df , the base b c shall be equal to the base ef ; and the triangle a b c to the triangle def ; and the other angles to which the equal b C e f sides are opposite , shall ...
Σελίδα 9
The angle bac is a d 8 equal to the angle ed f . For , if the triangle a b c be applied to def , so that the point b be on e , and the straight line bc upon ef ; the point c shall also coincide with the point f , beb се f cause bc is ...
The angle bac is a d 8 equal to the angle ed f . For , if the triangle a b c be applied to def , so that the point b be on e , and the straight line bc upon ef ; the point c shall also coincide with the point f , beb се f cause bc is ...
Σελίδα 13
Take away the common angle a ed , and the remaining angle cea is equal ( 3 ax . ) ... and let its side bc be produced to d , the exterior с angle a cd is greater than either of the interior opposite angles c ba , bac Bisect ( i .
Take away the common angle a ed , and the remaining angle cea is equal ( 3 ax . ) ... and let its side bc be produced to d , the exterior с angle a cd is greater than either of the interior opposite angles c ba , bac Bisect ( i .
Σελίδα 14
In like manner it may be demonstrated , that bac , a cb , as also ca b , a b c , are less than two right angles . ... LET a bc be a triangle , of which the side ac is greater than the side a b ; the angle a b c is also greater than the ...
In like manner it may be demonstrated , that bac , a cb , as also ca b , a b c , are less than two right angles . ... LET a bc be a triangle , of which the side ac is greater than the side a b ; the angle a b c is also greater than the ...
Σελίδα 15
... cd be drawn from b , c , the ends of the side b c of the triangle a bc , to the point d within it ; bd and dc are less than the other two sides ba , a c of the triangle , but contain an angle bdc greater than the angle bac .
... cd be drawn from b , c , the ends of the side b c of the triangle a bc , to the point d within it ; bd and dc are less than the other two sides ba , a c of the triangle , but contain an angle bdc greater than the angle bac .
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a b c angle a b c angle bac base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equal to f equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given straight line greater half ILLUSTRATED inscribe join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals PROPOSITION ratio reason rectangle contained rectilineal figure remaining angle right angles segment shewn sides similar square square of a c straight line a b Take taken third touches the circle triangle triangle a b c wherefore whole