The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 12.
Σελίδα 63
For if the segment a eb e be applied to the segment cfd , so as the point a be on C , and the straight line a b upon cd , the point b shall с d a b coincide with the point d , because a b is equal to cd . Therefore the straight line a b ...
For if the segment a eb e be applied to the segment cfd , so as the point a be on C , and the straight line a b upon cd , the point b shall с d a b coincide with the point d , because a b is equal to cd . Therefore the straight line a b ...
Σελίδα 91
... whatsoever multiple any one of them is of its part , the same multiple shall all the first magnitudes be of all the other : for the same demonstration holds in any number of magnitudes , which was here applied to two .
... whatsoever multiple any one of them is of its part , the same multiple shall all the first magnitudes be of all the other : for the same demonstration holds in any number of magnitudes , which was here applied to two .
Σελίδα 137
That a parallelogram is said to be applied to a straight line , when it is described upon it as one of its sides . For example , the parallelogram a c is said to be applied to the straight line a b . 2. But a parallelogram a e is said ...
That a parallelogram is said to be applied to a straight line , when it is described upon it as one of its sides . For example , the parallelogram a c is said to be applied to the straight line a b . 2. But a parallelogram a e is said ...
Σελίδα 138
Of all parallelograms applied to the same straight line , and deficient by parallelograms similar and similarly situated to that which is described upon the half of the line , that which is applied to the half , and is similar to its ...
Of all parallelograms applied to the same straight line , and deficient by parallelograms similar and similarly situated to that which is described upon the half of the line , that which is applied to the half , and is similar to its ...
Σελίδα 139
To a given straight line to apply a parallelogram equal to a given rectilineal figure , and deficient by a parallelogram similar to a given parallelogram ; but the given rectilineal figure to which the parallelogram to be applied is to ...
To a given straight line to apply a parallelogram equal to a given rectilineal figure , and deficient by a parallelogram similar to a given parallelogram ; but the given rectilineal figure to which the parallelogram to be applied is to ...
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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