| Edinburgh univ - 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... | |
| Edward Morris Reynolds - 1868 - 136 sider
...; 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'... | |
| Robert Potts - 1868 - 410 sider
...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... | |
| 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... | |
| 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... | |
| James Maurice Wilson - 1869
...therefore, the ratio of DB : BG is compounded of the ratios AB : BE and CB : BF. COR. i. Triangles which **have one angle of the one equal to one angle of the other,** are to one another in the ratio compounded of the ratios of the sides containing that angle. COR. 2.... | |
| GEORGE BRUCE HALSTED - 1881
...both sides of a rectangle from their ratio m : n, and its area R. \mR Ans. n \ m 521. If two triangles **have one angle of the one equal to one angle of the other, and the** sides about a second angle in each equal, then the third angles will be either equal or supplemental.... | |
| 1883
...proportion. When is a straight line said to be cut in extreme and mean ratio ? 14. Equal triangles which **have one angle of the one equal to one angle of the other,** have their sides about the equal angels reciprocally proportional ; and triangles which have one angle... | |
| Simon Newcomb - 1881 - 399 sider
...the other two angles each equal to its supplement. I "i 1 . Corollary 2. If two parallelograms Itave **one angle of the one equal to one angle of the other,** all the remaining angles of the one will be equal to the corresponding angles of the other. 125. Corollary... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882
...describe a circle about a given square. 11. Define equal triangles, and prove that ifequal triangles **have one angle of the one equal to one angle of the other,** then the sides about the equal angles are reciprocally proportional. 12. Show that the linos which... | |
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