| 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.... | |
| Massachusetts - Massachusetts - 1907
...circumference, is measured by one-half the difference of the intersected arcs. 3. Two triangles, having **an angle of one equal to an angle of the other, are to each other** as the product of the sides including the equal angles. Prove. 4. If the radius of a circle is 3v%... | |
| Edward Rutledge Robbins - Geometry - 1907 - 412 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. D BCE Given : A ABC and... | |
| Webster Wells - Geometry, Plane - 1908 - 174 pages
...the form of the trapezoid change ? Draw the trapezoid. PROP. VIII. THEOREM 290. Two triangles having **an angle of one equal to an angle of the other, are to each other** as the products of tJte sides including the equal angles. A Draw A AB'C' and line BC meeting AB> at... | |
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