The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 4
Things which are double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space ...
Things which are double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space ...
Σελίδα 24
... parallelograms a bed , dbcf , opposite to . the base bc , be terminated in the same point d ; it is plain that each of the parallelograms is double ( i . 34 ) of 0 . f the triangle bdc ; and they are therefore equal to one another .
... parallelograms a bed , dbcf , opposite to . the base bc , be terminated in the same point d ; it is plain that each of the parallelograms is double ( i . 34 ) of 0 . f the triangle bdc ; and they are therefore equal to one another .
Σελίδα 27
If a parallelogram and triangle be upon the same base and between the same parallels , the parallelogram shall be double of the triangle . LET the parallelogram a b c d and the triangle e bc be upon the same base b c , and between the ...
If a parallelogram and triangle be upon the same base and between the same parallels , the parallelogram shall be double of the triangle . LET the parallelogram a b c d and the triangle e bc be upon the same base b c , and between the ...
Σελίδα 28
base b c , and between the same parallels b c , a e ; a d e the parallelogram abcd is double of the triangle e b c Join ac ; then the triangle abc is equal ( i . 37 ) to the triangle e bc , because they are upon the same base b c ...
base b c , and between the same parallels b c , a e ; a d e the parallelogram abcd is double of the triangle e b c Join ac ; then the triangle abc is equal ( i . 37 ) to the triangle e bc , because they are upon the same base b c ...
Σελίδα 32
4 ) to the base fc , and the triangle a bd to the triangle f bc : f now the parallelogram bl is double k ( i . 41 ) of the triangle a bd , because they are upon the same base bd , and between the same parallels b d , al ; and the square ...
4 ) to the base fc , and the triangle a bd to the triangle f bc : f now the parallelogram bl is double k ( i . 41 ) of the triangle a bd , because they are upon the same base bd , and between the same parallels b d , al ; and the square ...
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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