 | George Bruce Halsted - 1881 - 258 páginas
...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.... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 páginas
...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... | |
 | Euclid, Isaac Todhunter - 1883 - 428 páginas
...equal to one angle of the other, have their fides 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,... | |
 | University of Glasgow - 1883 - 438 páginas
...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... | |
 | Mathematical association - 1883 - 86 páginas
...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... | |
 | Dalhousie University - 1884 - 184 páginas
...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...about the equal angles reciprocally proportional. Extend the enunciation, shewing why you do so. 9. The only regular polygons that can completely fill... | |
 | University of Cambridge - 1884 - 624 páginas
...of the base shall have the same ratio which the other sides of the triangle have to one another. 9. 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. THURSDAY, December 6, 1883. 9— ARITHMETIC.... | |
 | 1884 - 610 páginas
...equiangular pentagon in a given circle. Inscribe a regular figure of ten sides in a given circle. 3. 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. If one of the said sides in the one triangle... | |
 | Woolwich roy. military acad - 1884 - 148 páginas
...construct a parallelogram ACBD; bisect AC, BD, in E and F. Join DE, FC, cutting AB in G and H. 11. 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. II. ARITHMETIC.... | |
 | Euclides - 1884 - 434 páginas
...angle of the other have their sides about the equal angles reciprocally proportional. Conversely : 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. (1) Let BAC, DAE be equal... | |
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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. 
