| George Bruce Halsted - Measurement - 1881 - 258 pages
...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.... | |
| Education, Higher - 1883 - 536 pages
...proportion. When is a straight line said to be cut in extreme and mean ratio ? 14. Equal triangles which **have one angle of the one equal to one angle of the other,** have their sides about the equal angels reciprocally proportional ; and triangles which have one angle... | |
| Simon Newcomb - Geometry - 1881 - 418 pages
...the other two angles each equal to its supplement. I "i 1 . Corollary 2. If two parallelograms Itave **one angle of the one equal to one angle of the other,** all the remaining angles of the one will be equal to the corresponding angles of the other. 125. Corollary... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...describe a circle about a given square. 11. Define equal triangles, and prove that ifequal triangles **have one angle of the one equal to one angle of the other,** then the sides about the equal angles are reciprocally proportional. 12. Show that the linos which... | |
| Mathematical association - 1883 - 86 pages
...similar, and those angles which are opposite to the homologous sides are equal. THEOR. 5. If two triangles **have one angle of the one equal to one angle of the other, and** the sides about one other angle in each proportional, so that the sides opposite the equal angles are... | |
| University of Glasgow - 1883 - 438 pages
...ratio of the radins of the circle to the side of the second square ? 12. Prove that if two triangles **have one angle of the one equal to one angle of the other, and** the sides about the equal angles proportional, the triangles are similar. 14. One of the parallel sides... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...parallelogram BC. [V. 9. Wherefore, equal parallelograms &c. QED PROPOSITION 15. THEOREM. Equal triangles which **have one angle of the one equal to one angle of the other,** have their fides about the equal angles reciprocally proportional; and triangles which have one angle... | |
| Dalhousie University - 1884 - 184 pages
...about the angles of two triangles are proportional, the triangles -are equiangular. 8. Equal triangles **that have one angle of the one -equal to one angle of the other,** have the sides about the equal angles reciprocally proportional. Extend the enunciation, shewing why... | |
| University of Cambridge - 1884 - 624 pages
...exterior angle made by producing one of the sides through the vertex. 9. Equal parallelograms, which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. WEDNESDAY, December 5, 1883. 12$... | |
| Woolwich roy. military acad - 1884 - 148 pages
...in E, shew that AB touches the circumscribing circle of the triangle CDE. 10. 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... | |
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