| War office - 1861 - 12 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... | |
| Robert Potts - 1863 - 482 pages
...and the other two 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,... | |
| Euclides - 1864 - 448 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, and the sides about the equal angles proportionals, the triangles shall be equiangular,... | |
| Euclides - 1865 - 402 pages
...triangle ABC iB equiangular to the triangle DEF. Wherefore, if two angles, &c. QED PROP. VII.— THEOREM. **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... | |
| James Robert Christie - Mathematics - 1866 - 404 pages
...of a quadrilateral described about a circle are together equal to the other two opposite sides. 5. **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,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...proportional, but not their angles equal. VI. 7. In VI. 7 the enunciation is imperfect ; it should be, **"if two triangles have one angle of the one equal to one** angle of the other, and the sides about two other angles proportionals, so that the sides subtending... | |
| James Maurice Wilson - Geometry - 1868
...additional equality of a pair of corresponding sides involves the identity of the triangles. THEOREM 7. **If two triangles have one angle of the one equal to one** angle of the other; and the sides about the equal angles proportionals, then will the triangles be... | |
| Robert Potts - 1868 - 410 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, and the sides about the equal angles proportionals, the triangles shall be equiangular,... | |
| Henry William Watson - Geometry - 1871 - 285 pages
...polygon on AB + the area of the polygon on AC is equal to the area of the polygon on BC. EXAMPLES. 1. **If two triangles have one angle of the one equal to one** angle of the other, and likewise one angle of the one supplementary to one angle of the other, the... | |
| |