 | George Clinton Shutts - 1905 - 260 σελίδες
...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 - 1905 - 378 σελίδες
...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... | |
 | Association of Teachers of Mathematics in the Middle States and Maryland - 1906 - 58 σελίδες
...straight angle. (Necessary to prove propositions concerning concurrent lines.) *P16. Triangles that have an angle of one equal to an angle of the other, are to each other as the products of the sides containing those angles. *P18. In any obtuse triangle, the square of the... | |
 | Edward Rutledge Robbins - 1906 - 268 σελίδες
...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 - 1906 - 440 σελίδες
...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 - 431 σελίδες
...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 - 1906 - 104 σελίδες
...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 - 1907 - 1342 σελίδες
...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 - 1907 - 428 σελίδες
...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 - 1908 - 206 σελίδες
...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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If two triangles have an angle of one equal to an angle of the other... 
