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 53.
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 bc 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 bc to the angle def ...
Σελίδα 7
... whole af is equal to the whole ag , 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 ag , 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 a cd 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 a cd , a cb are ...
... whole exterior angle a cd 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 a cd , a cb are ...
Σελίδα 24
... whole angle abd is equal to the whole angle a cd : 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 a cd : 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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Συχνά εμφανιζόμενοι όροι και φράσεις
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 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 ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular Q. E. D. PROPOSITION rectangle a b rectangle contained remaining angle right angles segment shewn square of a c square of eg straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle
Δημοφιλή αποσπάσματα
Σελίδα 40 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 2 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 19 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 27 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 36 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of...
Σελίδα 13 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Σελίδα 11 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα 2 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 124 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.