| Simon Newcomb - Geometry - 1881 - 399 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
...nearer to the centre than the less. 7. Define equal triangles, and prove that if equal triangles have **one angle of the one equal to one angle of the other,** then the sides about the equal angles are reciprocally proportional. GENEEAL PAPEE. 1. Trace very briefly... | |
| Mathematical association - 1883
...those sides which are opposite to the equal angles are homologous. THEOR. 3. If two triangles have **one angle of the one equal to one angle of the other and** the sides about these angles proportional, they are similar, and those angles which are opposite to... | |
| Euclides, James Hamblin Smith - 1883
...other in reciprocal proportion. And Conversely, Trianyks, which have one angle of the one equal to one **of the other, and their sides about the equal angles reciprocally proportional, are** eqiud to one another. Let the sides about the equal L s be reciprocally proportional, that is, let... | |
| University of Glasgow - 1883
...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 - 400 pages
...AB, BC, a mean proportional DB is found. QEF PROPOSITION 14. THEOREM. 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; and parallelograms which have one... | |
| University of Cambridge - 1884
...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—... | |
| Dalhousie University - 1884
...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... | |
| Euclides - 1884
...expression which will include all these numbers. PROPOSITION 14. THEOREMS. 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. Conversely ; Parallelograms which... | |
| 1884
...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... | |
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