| Woolwich roy. military acad - 1864
...obtuse-angled, prove that the centre of the circumscribing circle is outside of the triangle. 11. Parallelograms **which have one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional are equal to one another. 12. Let... | |
| Euclides - 1864
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| Simon Somerville Laurie - 1865 - 401 páginas
...angles." ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proper tionals, the triangles shall be equiangular. 7. Similar... | |
| Euclides - 1865
...the equal angles shall be those which are opposite to the homologous sides. Prop. 6. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| James Robert Christie - 1866 - 404 páginas
...two straight lines within a circle cut one another, the rectangle contained by the segments, arc. 4. **Equal triangles which have one angle of the one equal to one angle of the other, have** their sides about the equal angles reciprocally proportional; and triangles which have one angle of... | |
| John Playfair - 1855 - 317 páginas
...(11. 5.) : wherefore the parallelogram AB is equal (9. 5.) to the parallelogram BC. PROP. XV. THEOR. **Equal triangles which have one angle of the one equal to one angle of** ih* other have their sides about the equal angles reciprocally proportional ; And triangles which have... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and **triangles which have one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional, are equal to one another. Let ABC,... | |
| 1884
...other pair of homologous sides shall either be equal, or be together equal to two right angles. 15. **Triangles which have one angle of the one equal to one angle of the other, have** to one another the ratio which is compounded of the ratios of their sides. Algebra. Junior, Senior,... | |
| Simon Newcomb - 1881 - 399 páginas
...such sides is equal to the rectangle of the sides of the parallelogram. THEOREM 8. If two triangles **have one angle of the one equal to one angle of the other,** and the perpendiculars from the other two angles upon the opposite sides proportional, they are similar.... | |
| GEORGE BRUCE HALSTED - 1881
...both sides of a rectangle from their ratio m : n, and its area R. \mR Ans. n \ m 521. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about a second angle in each equal, then the third angles will be either equal or supplemental.... | |
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