The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 32.
Σελίδα 29
The complements of the parallelograms , which are about the diameter of any parallelogram , are equal to one another . LET abcd be a parallelogram , of which the diameter is a c , and eh , fg , the pah d . rallelograms about a c ...
The complements of the parallelograms , which are about the diameter of any parallelogram , are equal to one another . LET abcd be a parallelogram , of which the diameter is a c , and eh , fg , the pah d . rallelograms about a c ...
Σελίδα 30
produced ; let them meet in k , and through k draw kl , parallel to e a or fh , and produce ha , gb to the points 1 , m : then hlkf is a parallelogram , of which the diameter is hk , and ag , me are the parallelograms about hk ; and lb ...
produced ; let them meet in k , and through k draw kl , parallel to e a or fh , and produce ha , gb to the points 1 , m : then hlkf is a parallelogram , of which the diameter is hk , and ag , me are the parallelograms about hk ; and lb ...
Σελίδα 31
From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be equal to a given rectilineal figure , viz . by applying ( i .
From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be equal to a given rectilineal figure , viz . by applying ( i .
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 ...
Σελίδα 33
To bisect a parallelogram by a straight line drawn through a given point in one of its sides . 11. To inscribe a square in a parallelogram .. 12. Given a right - angled isosceles triangle to inscribe in it a square . 13.
To bisect a parallelogram by a straight line drawn through a given point in one of its sides . 11. To inscribe a square in a parallelogram .. 12. Given a right - angled isosceles triangle to inscribe in it a square . 13.
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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