| War office - 1861 - 12 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... | |
| Euclides - 1861
...2. & H. 6 22, V. 7 6, VI. 8 Sim. 9 Cone. 10 H. 11 22, V. 16, V. PROP. 7. — THEOR. 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... | |
| Woolwich roy. military acad - 1861
...the other, have their sides about the equal angles reciprocally proportional, and parallelograms that **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. 9. Prove... | |
| War office - 1861
...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... | |
| Robert Potts - 1863
...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
...is obtuse-angled, 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... | |
| Euclides - 1864
...8. Cor.) therefore between the two given straight lines AB, BC, a mean proportional DB is found. QEF **PROPOSITION XIV. THEOREM. Equal parallelograms, which have one angle of the one equal to one** avgle of the other, have their sides about Che equal angles reciprocally proportional: and conversely,... | |
| Euclides, James Hamblin Smith - 1883
...angles at B reciprocally proportional, the order of the proportion being DB is to BE as GB is to BF. **PROPOSITION XIV. THEOREM. Equal parallelograms, which...about the equal angles reciprocally proportional.** Let AB, BC be equal Oa, having L FBD= L EBG. Then must DB be to BE as GB is to BF. Place the /Us so... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and **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. Let AB,... | |
| Mathematical association - 1883
...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... | |
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