| Simon Somerville Laurie - 1865 - 401 pagina’s
...angles." ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proper tionals, the triangles shall be equiangular. 7. Similar... | |
| Alexander Kennedy Isbister - 1865
...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... | |
| Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...and shall have those angles equal about which the sides are proportionals. Let the triangles ABC, DEF **have one angle of the one equal to one angle of the other,** namely, the angle BA C equal to the angle EDF, and the sides about two other angles ABC, DEF, proportionals,... | |
| Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...Hence the result may be extended to triangle?, and we hava the following theorem, triangles which, ham **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 their sides. Then VI. 19 is an immediate... | |
| 1868
...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... | |
| James Maurice Wilson - 1868
...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 similar. Let the triangles... | |
| Robert Potts - 1868 - 410 pagina’s
...AB, BC, a mean proportional DB is found. QEF PEOPOSITION XIV. THEOREM. 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 conversely, parallelograms that... | |
| E. M. Reynolds - 1868 - 112 pagina’s
...; Therefore ABC is equiangular to A'B'C'. Relation of Areas of Figures. THEOREM VI. Triangles which **have one angle of the one equal to one angle of the other,** are to each other as the products of the sides containing the equal angle. Let the triangles ABC, A'BC'... | |
| frank smith - 1868
...by the segments of the other. 4. To inscribe a circle in a given triangle. 5- 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. 6. Find the continued product of... | |
| Sir Norman Lockyer - 1902
...committee suggest that the following proposition be adopted :— If two triangles (or parallelograms) **have one angle of the one equal to one angle of the other,** their areas are proportional to the areas of the rectangles contained by the sides about the equal... | |
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