The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 6 - 10 από τα 12.
Σελίδα 63
... 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 coincide with the point d , because a b is equal to cd . with cd , the segment aeb and therefore is equal to it . C d a b ...
... 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 coincide with the point d , because a b is equal to cd . with cd , the segment aeb and therefore is equal to it . C d a b ...
Σελίδα 91
... : for the same demonstration holds in any number of magnitudes , which was here applied to two . Q. E. D. * Archimedes de Sphæra et Cylindro , Prop . 4. lib . 2 . PROPOSITION II . THEOREM . If the first magnitude be BOOK V. PROP . I. 91.
... : for the same demonstration holds in any number of magnitudes , which was here applied to two . Q. E. D. * Archimedes de Sphæra et Cylindro , Prop . 4. lib . 2 . PROPOSITION II . THEOREM . If the first magnitude be BOOK V. PROP . I. 91.
Σελίδα 137
... applied to a straight line , when it is described upon it as one of its sides . For example , the parallelo- gram ac is said to be applied to the straight line a b . c 2. But a parallelogram a e is said to be applied to a straight line ...
... applied to a straight line , when it is described upon it as one of its sides . For example , the parallelo- gram ac is said to be applied to the straight line a b . c 2. But a parallelogram a e is said to be applied to a straight line ...
Σελίδα 138
... applied to the half a c , which is therefore deficient from the parallelogram upon the whole line ab by the parallelogram ce upon the other half cb ; of all the parallelograms applied to any other parts of a b , and deficient by ...
... applied to the half a c , which is therefore deficient from the parallelogram upon the whole line ab by the parallelogram ce upon the other half cb ; of all the parallelograms applied to any other parts of a b , and deficient by ...
Σελίδα 139
... applied is to be equal must not be greater than the parallelogram applied to half of the given line , having its defects similar to the defect of that which is to be applied , that is , to the given parallelogram . h g o f LET a b be ...
... applied is to be equal must not be greater than the parallelogram applied to half of the given line , having its defects similar to the defect of that which is to be applied , that is , to the given parallelogram . h g o f LET a b be ...
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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