 | George William Myers - Mathematics - 1910 - 304 pages
...right angle. 9. An equilateral triangle is equiangular. 10. An equiangular triangle is equilateral. 1 1 . If two sides of a triangle are unequal the angles opposite them are unequal, the greater angle lying opposite the greater side. 12. If two angles of a triangle... | |
 | Geometry, Plane - 1911 - 192 pages
...8. Two similar triangles are to each other as the squares of their homologous sides. SEPTEMBER, 1893 1. If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle lies opposite the greater side. 3. An inscribed angle is measured by one-half of its intercepted arc.... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...obtuse triangle the right or the obtuse angle is the greatest angle. PROPOSITION XXVIII. THEOREM 224. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. A C — ° Given the triangle ABC, in which AB is greater than AC. To prove that Z.ACB>ZB Proof. 1.... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...angle is the greatest angle. PROPOSITION XXVIII. THEOREM 224. If two sides of a triangle are-unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. A Given the triangle ABC, in which AB is greater than AC. To prove that Z.ACB>ZB Proof. 1. OnABla,yo&AD=AC.... | |
 | Education - 1912 - 642 pages
...similar triangles, (d) proportion. . . 2. fiove that if two sides of a triangle are unequal, the angle opposite are unequal and the greater angle is opposite the greater side. 3. Prove that two parallelograms are equal if two sides and the included angle of one are equal to... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...of a quadrilateral is less than one half the perimeter of the figure. PROPOSITION XXIX. THEOREM 128. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. Given A ABC, with To prove AC>AB. C. Proof STATEMENTS Draw the angle-bisector AE. On AC lay off AD... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...of a quadrilateral is less than one half the perimeter of the figure. PROPOSITION XXIX. THEOREM 128. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. Given A ABC, with To prove E AC>AB. C. Proof STATEMENTS Draw the angle-bisector AE. On AC lay off AD... | |
 | College Entrance Examination Board - Mathematics - 1915 - 72 pages
...in preparation GROUP A. (Answer four questions from this group.) 1. Complete this theorem and prove: If two sides of a triangle are unequal, the angles opposite are unequal, and the greater State the hypothesis of the above theorem. Point out where it is needed and used in your proof. State... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...greater than either remote interior angle of the triangle. (§ 87.) PROPOSITION XXXIII. THEOREM 161. If two sides of a triangle are unequal, the angles opposite are unequal, the angle opposite the greater side being the greater. Hypothesis. In A ABC, AC > AB. Conclusion. ZB... | |
 | William Betz - Geometry - 1916 - 536 pages
...obtuse triangle the right or the obtuse angle is the greatest angle. PROPOSITION XXVIII. THEOREM 224. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. A C Given the triangle ABC, in which AB is greater than AC. To prove that Z.ACB>/.B. Proof. 1. On AB... | |
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If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. 
