 | Education - 1900 - 612 pages
...are parallel each to each are either equal or supplementary. Give proof for both cases. 3 Prove that if two sides of a triangle are unequal the angles...and the greater angle is opposite the greater side. 4 Prove that an angle formed by two chords intersecting within the circumference is measured by one... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...from any point D in A ABC DB and DC are drawn, then AB+AODB + DC. E PROPOSITION XXVIII. THEOREM 124. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. Hyp. In A ABC AOAB. To prove Z B > Z C. Proof. Draw AE, bisecting ZBAC. AD = AB and draw DE. But A... | |
 | Arthur Schultze - 1901 - 260 pages
...from any point D in A ABC DB and DC are drawn, then AB+AODB + DC. PROPOSITION XXVIII. THEOREM 124. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. Hyp. In A ABC AOAB. To prove Z B > Z C. Proof. Draw AE, bisecting ZBAC. AD = AB and draw DE. But On... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...from any point D in A ABC DB and DC are drawn, then AB + AODB + DC. PROPOSITION XXVIII. THEOREM 124. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. E Hyp. In A ABC AOAB. To prove ZB > Z C. Proof. Draw AE, bisecting Z.BAC., AD = AB and draw DE. On... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...Ex. 168. If from any point D in A ABC DB and DC are drawn, then 42 PROPOSITION XXVIII. THEOREM 124. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. Hyp. In A ABC AOAB. To prove ZB > Z C. Proof. Draw AE, bisecting Z BAC. AD = AB and draw DE. On AC... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...opposite are unequal, and the greater side is opposite the greater angle ; CONVERSELY, if two sides are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. 1. In the triangle ABC, let the angle ABC be greater than the angle ACB. To prove that AC > AB. Proof.... | |
 | United States. War Department - 1903 - 438 pages
...root of: aj6+l— 6«— 15. Simplify: (^ 2 a "^ "^) * \ 6-§- ?/•§- y GEOMETRY. .f. Theorem,. — If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. 2. Problem. — Upon a given straight line, to describe a segment of a circle in which a given angle... | |
 | United States. War Department - 1903 - 446 pages
...14. Find the cube root of: а^+1 — 6а:— 6а^+lSжi— 15а¿— 20ж* GEOMETRY. .7. Theorem.— If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. 3. Problem. — Upon a given straight line, to describe a segment of a circle in which a given angle... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...hypotenuse and an acute Z of the other). QED BOOK I. PLANE GEOMETRY. PROPOSITION XXVI. THEOREM. 152. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side. •0 In the triangle ACB, let AB be greater than AC. To prove that Z.ACB is greater than ZB Proof.... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...point H, it may be shown that /.ACH (= /.BCD} is greater than /.BAC. QED PROPOSITION XIV. THEOREM 104. If two sides of a triangle are unequal, the angles...and the greater angle is opposite the greater side Given the side BC > side AB in the A ABC. To prove Z BA C greater than Z C. Proof. On the side BC take... | |
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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. 
