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" If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second. "
Plane and Solid Geometry - Σελίδα 45
των Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
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...the A KP8 and A'Pi, /iP is common, PS = PL, (3) but KL < KS, (§ 96) and .-. Z. KPL < Z. KPS. (If two triangles have two sides of the one equal respectively to two sides of the other but the third side of the first less than the third side of the second, then the angle opposite the third side...

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...equal. Prove by the indirect method. 258. Theorem. // two triangles have two sides of one equal :r respectively to two sides of the other but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater...

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...Square -E. PROPOSITION XV. THEOREM 121. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angle...of the second, then the third side of the first is longer than the third side of the second. FIG. 1 FIG. 2 Given AB = DE, BC = EF aud ZB > Z E. To prove...




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