 | Great Britain. Parliament. House of Commons - 1859 - عدد الصفحات: 140
...a given circle, first, a regular hexagon ; secondly, a regular pentagon. 18. 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. 19. Investigate a trigonometrical... | |
 | Euclides - 1860 - عدد الصفحات: 288
...to the angle at D ; therefore the triangle ABC is equiangular to the triangle DEF. oN v1. TIIEOIIEM. 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 those angles equal... | |
 | Civil service - عدد الصفحات: 366
...proportion. PROP. I. — Triangles of the same altitude are one to the other, as their bases. PROP. VI. — 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 those angles equal... | |
 | Joseph Charles Parkinson - 1860 - عدد الصفحات: 154
...PROP. I. — Triangles of the same altitude are one to the other as their bases. fi. PROP. VI. — 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 those angles equal... | |
 | Robert Potts - 1860 - عدد الصفحات: 380
...the triangle ABC is 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, find the sides about the equal angles proportionals, the triangles shaU be equiangular, and shall have... | |
 | War office - 1861 - عدد الصفحات: 260
...less than a right angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one angle of the one equal to...of the other and the sides about two other angles proportionals, and if each of the remaining angles be not less than a right angle, the triangles shall... | |
 | War office - 1861 - عدد الصفحات: 714
...perpendicular to the line touching the circle. Voluntary Portion. 1. To inscribe a square in a given circle. 2. 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 to one another, and shall have those... | |
 | 1889 - عدد الصفحات: 584
...respectively equal they are similar, and those sides which are opposite to the equal angles are homologous. If two triangles have one angle of the one equal to one angle of the other, and a second angle of the one supplementary to a second angle of the other, then the sides about the third... | |
 | E. J. Brooksmith - 1889 - عدد الصفحات: 356
...are the middle points ofAB, CD, prove that PQ_ is parallel to AC and BD. 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, conversely, triangles which... | |
 | New Brunswick. Board of Education - 1889 - عدد الصفحات: 1004
...and those which are opposite to the equal angles are homologous sides. 6. 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. N. В.- --Female candidates will... | |
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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. 
