| FLETCHER DURELL. PH.D. - 1911
...8. (/or its equal A AFH is similar to A ABC). QED PROPOSITION XVII. THEOREM 327. 7/ jfwo triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, the triangles are similar. A Given the A ABC and A'B'C', in which... | |
| Yale University. Sheffield Scientific School - 1905
...hypotenuse of a similar triangle is 1o in. What is the area of the second triangle? 6. 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 the equal angles. 7. When is a circle said to be the locus of... | |
| Education - 1922
...and C; draw OD J.AC; since <B = <AOD, \ve may apply to AsABC and AOD the theorem: If two triangles **have an angle of one equal to an angle of the other,** the ratio of their areas equals the ratio of the products of the sides including this angle. Hence... | |
| George Clinton Shutts - 1905
...circumferences are parallel. Prove AD parallel to B C. PROPOSITION XIX. 303. Theorem. // two triangles **have an angle of one equal to an angle of the other,** and the sides including the equal angles proportional, the triangles are similar. A A' In the triangles... | |
| Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 355 pages
...proportional between their diameters. XVI. GROUP ON AREAL RATIOS PROPOSITIONS XVI. 1. If two triangles **have an angle of one equal to an angle of the other,** they are to each other as the rectangles of the sides respectively including the equal angles. A c... | |
| Edward Rutledge Robbins - Geometry, Plane - 1906 - 254 pages
...AMN — ZB ; Z ANM = ZC (?) (98). .-. A are similar (?) (313). QED B C 317. THEOREM. If two triangles **have an angle of one equal to an angle of the other** and the sides including these angles proportional, the triangles are similar. BCE r Given : A ABC and... | |
| Isaac Newton Failor - Geometry - 1906 - 418 pages
...by the previous theorems. 198 PROPOSITION VII. THEOREM 414 Two triangles which have an angle of the **one equal to an angle of the other are to each other** as the products of the sides including the equal angles. HYPOTHESIS. The & ABC and ADE have the ZA... | |
| ISAAC NEWTON FAILOR - 1906
...computed by the previous theorems. PROPOSITION VII. THEOREM 414 Two triangles which have an angle of the **one equal to an angle of the other are to each other** as the products of the sides including the equal angles. HYPOTHESIS. The & ABC and ADE have the /.... | |
| David Sands Wright - Geometry - 1906 - 84 pages
...similar if — 1. They are mutually equiangular. 2. Their homologous sides are proportional. 3. They **have an angle of one equal to an angle of the other,** and the sides including the equal angles are proportional. 4. The homologous sides are parallel. 5.... | |
| |