| Civil service - 366 pages
...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 - 154 pages
...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 - Geometry, Plane - 1860 - 380 pages
...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 - 260 pages
...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 one angle 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,... | |
| War office - 1861 - 714 pages
...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... | |
| Woolwich roy. military acad - 1861 - 572 pages
...described on P 0 as diameter will pass through all the points of contact. 8. 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 that have one... | |
| Euclides - 1861 - 464 pages
...into one Theorem, Prop. 1, VI, and might also be united here. PROP. 15. — THEOn. Equal angles which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proD. 1 H. &C. 2 7. V. 3 1,V. 4 11, V. 5 Cone.... | |
| E. J. Brooksmith - Mathematics - 1889 - 354 pages
...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 - Education - 1889 - 1006 pages
...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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the rectangle contained by the sides about the other, the triangles are equal. (ii.) Conversely: — **If two triangles have one angle of the one equal to one angle of the other,** the rectangle contained by the sides about one of those angles is equal to the rectangle contained... | |
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