| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...the inscribed circle, construct it. 6. 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.** Construct an isosceles triangle equal in area to a given scalene triangle, and having a common vertical... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...first. PROPOSITION 14. THEOREM. (1) 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.** (2) Conversely : — Parallelograms which have one angle of the one equal to one angle of the other... | |
| Webster Wells - Algebra - 1890 - 560 pages
...similar, as also are the triangles EOG and COD ; for, by Geometry, two triangles are similar when they **have an angle of one equal to an angle of the other,** and the including sides proportional. Then the figure OFEG is similar to OBDC, and hence OFEG is a... | |
| 1891 - 718 pages
...are to one another as their bases. 6. 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.** NB — Female candidates will receive credit for any correct work ou the last two of the foregoing... | |
| Euclid - Geometry - 1892 - 460 pages
...THEOREM. • Parallelograms which are equal in area, and which have one angle of the one equal to one **angle of the other, have their sides about the equal angles reciprocally proportional:** Conversely, parallelograms which have one angle of the one equal to one angle of the other, and the... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...onehalf of it. 4. The two tangents to a circle from an outside point are equal. 5. If two triangles **have an angle of one equal to an angle of the other** they are to each other as the product of the sides including the equal angles. 6. From the obtuse angle... | |
| 1895 - 142 pages
...construct it. 4. Triangles which are equal in area, and which have one angle of the one equal to one **angle of the other, have their sides about the equal angles reciprocally proportional.** Describe an isosceles triangle equal in area to a given triangle and having an angle equal to one of... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...sides by one of its other sides, an incorrect method. PROPOSITION VIII. THEOREM 398. The areas of two **triangles which have an angle of one equal to an angle of the other** are to each other as the products of the sides including those angles. GIVEN — the triangles ADE... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...sides by one of its other sides, an incorrect method. PROPOSITION VIII. THEOREM 308. The areas of two **triangles which have an angle of one equal to an angle of the other** are to each other as the products of the sides including those angles. GIVEN — the triangles ADR... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...Hint. — Combine §135 with the above proposition. PROPOSITION VIII. THEOREM 3f)8. The areas of two **triangles which have an angle of one equal to an angle of** thc other are to each other as the products of the sides including those angles. GIVEN—the triangles... | |
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