Knowledge: An Illustrated Magazine of Science, Том 51884 |
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Стр. 31
... triangle G H F , therefore A D is to BD as FH to HG ; similarly BD is to DC as GH to HE ; therefore ex æquali A D is ... triangles FAH , FAG are equal in all respects , Euc . I. , 26 ) . We describe a circle H G K with centre F and ...
... triangle G H F , therefore A D is to BD as FH to HG ; similarly BD is to DC as GH to HE ; therefore ex æquali A D is ... triangles FAH , FAG are equal in all respects , Euc . I. , 26 ) . We describe a circle H G K with centre F and ...
Стр. 153
... triangles may be drawn on the base B D equal to A B D , each of which would give a quadrilateral divided by B D into two equal triangles , but this quadrilateral would not be a parallelogram . Euc . I. , 35 and 36. - Each of these ...
... triangles may be drawn on the base B D equal to A B D , each of which would give a quadrilateral divided by B D into two equal triangles , but this quadrilateral would not be a parallelogram . Euc . I. , 35 and 36. - Each of these ...
Стр. 172
... triangle be described on either side of the line thus drawn , or if those sides of the equi lateral triangle which pass through the given point be produced either way , a solution results . 3. If the diameter of the smaller circle is ...
... triangle be described on either side of the line thus drawn , or if those sides of the equi lateral triangle which pass through the given point be produced either way , a solution results . 3. If the diameter of the smaller circle is ...
Стр. 173
... triangle A EF is isosceles . 10. The sides AB , AD of a quadrilateral are equal , and the diagonal A C bisects the angle DAB . Show that the sides BC , CD are equal , and that the diagonal A C bisects the angle B CD . PROP . 5 . 11 ...
... triangle A EF is isosceles . 10. The sides AB , AD of a quadrilateral are equal , and the diagonal A C bisects the angle DAB . Show that the sides BC , CD are equal , and that the diagonal A C bisects the angle B CD . PROP . 5 . 11 ...
Стр. 192
... triangle on any finite line . The student is not likely to neglect the application of Prop . 3 ( to which Prop . 2 ... triangle ; or ( iii ) of two angles and a side adjacent to them suffices to deter- mine the equality of two triangles ...
... triangle on any finite line . The student is not likely to neglect the application of Prop . 3 ( to which Prop . 2 ... triangle ; or ( iii ) of two angles and a side adjacent to them suffices to deter- mine the equality of two triangles ...
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