The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 4
... whole is greater than its part . X. Two straight lines cannot enclose a space . XI . All right angles are equal to one another . XII . If a straight line meets two straight lines , so as to make the two interior angles on the same side ...
... whole is greater than its part . X. Two straight lines cannot enclose a space . XI . All right angles are equal to one another . XII . If a straight line meets two straight lines , so as to make the two interior angles on the same side ...
Σελίδα 6
... whole triangle a b c shall coincide with the whole triangle def , and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle a b c to the angle def ...
... whole triangle a b c shall coincide with the whole triangle def , and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle a b c to the angle def ...
Σελίδα 7
... whole af is equal to the whole a g , of which the parts a b , a c , are equal ; the remainder bf shall be equal ( 3 ax . ) to the remainder cg ; and fc was proved to be equal to gb ; therefore the two sides bf , fc are equal to the two ...
... whole af is equal to the whole a g , of which the parts a b , a c , are equal ; the remainder bf shall be equal ( 3 ax . ) to the remainder cg ; and fc was proved to be equal to gb ; therefore the two sides bf , fc are equal to the two ...
Σελίδα 22
... whole exterior angle acd is equal to the two interior and oppo- site angles ca b , abc ; to these equals add the angle a cb , and the angles a cd , a cb are equal to the three angles cba , bac , acb ; but the angles acd , a cb are equal ...
... whole exterior angle acd is equal to the two interior and oppo- site angles ca b , abc ; to these equals add the angle a cb , and the angles a cd , a cb are equal to the three angles cba , bac , acb ; but the angles acd , a cb are equal ...
Σελίδα 24
... whole angle abd is equal to the whole angle acd : and the angle bac has been shewn to be equal to the angle bdc ; therefore the opposite sides and angles of parallelograms are equal to one another ; also , their diameter bisects them ...
... whole angle abd is equal to the whole angle acd : and the angle bac has been shewn to be equal to the angle bdc ; therefore the opposite sides and angles of parallelograms are equal to one another ; also , their diameter bisects them ...
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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