| 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... | |
| Euclides - 1861 - 464 pages
...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 - 572 pages
...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 - 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... | |
| Mathematics - 1868 - 276 pages
...Let the lines joining the point P to the points A and B cut a line in the points a, /3. The areas of **triangles which have one angle of the one equal to one angle of the other, have** to one another the ratio which is compounded of the ratios of the sides. Applying this to the triangles... | |
| 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
...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 - 448 pages
...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,** and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| Robert Potts - 1865 - 528 pages
...straight lines AB, BC, & mean proportional DB is iound. QBF PROPOSITION XIV. THEOREM. Equal parallelograms **which have one angle of the one equal to one angle of the other,** hate their sides about the equal angles reciprocally proportional: and conversely, parallelograms that... | |
| Euclides - 1865 - 402 pages
...the equal angles shall be those which are opposite to the homologous sides. Prop. 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 triangles shall be equiangular, and shall have... | |
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