| Euclides - 1860 - 288 pages
...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 ;...the one equal to one angle of the other, and their** sides about the equal angles reciprocally proportional, are equal to one another. Given two equal parallelograms... | |
| Civil service - 366 pages
...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... | |
| Joseph Charles Parkinson - 1860 - 154 pages
...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... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...parallelogram BC. (v.9.) Therefore equal parallelograms, &c. QED PROPOSITION XV. THEOREM. 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... | |
| War office - 1861 - 260 pages
...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... | |
| War office - 1861 - 714 pages
...isosceles triangle having each of the angles at the base one-third of the third angle. 2. If two triangles **have one angle of the one equal to one angle of the other, and** the sides about two other angles proportionals ; then if each of the remaining angles be either less,... | |
| 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.... | |
| 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... | |
| Robert Potts - 1863 - 482 pages
...sides produced. Also describe a circle touching three sides of a parallelogram. 6. 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, triangle shall be equiangular, and shall have... | |
| Woolwich roy. military acad - 1864 - 588 pages
...prove that the centre of the circumscribing circle is outside of the triangle. 11. Parallelograms 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. 12. Let ABODE be a... | |
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