 | Webster Wells - Trigonometry - 1887 - 196 pages
...Geometry : (a) Either side of a spherical triangle is less than the sum of the other two sides. (b) If two sides of a spherical triangle are unequal,...angle lies opposite the greater side ; and conversely. (c) The sum of the sides of a spherical triangle is less than 360°. (d) The sum of the angles of a... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...prove that CD is perpendicular to the hypotenuse AB, PROPOSITION XXXIV. 128. Theorem. // two sides of a triangle are unequal the angles opposite them are unequal, and the greater angle is opposite the greater side. A Let ABC represent a triangle in which the side AB is greater than the... | |
 | George Albert Wentworth - Trigonometry - 1897 - 234 pages
...is called a quadrantal triangle. It is shown in Solid Geometry, that in every spherical triangle I. If two sides of a spherical triangle are unequal,...angles opposite them are unequal, and the greater angle is opposite the greater side ; and conversely. II. The sum of the sides is less than 360°. III. The... | |
 | George Albert Wentworth - Logarithms - 1897 - 384 pages
...is called a quadrantal triangle. It is shown in Solid Geometry, that in every spherical triangle I. If two sides of a spherical triangle are unequal,...angles opposite them are unequal, and the greater angle is opposite the greater side; and conversely. II. The sum of the sides is less than 360°. III. The... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...of a great O meeting AC at D, and making Z CBD equal to Z C.) 614. Cor. (Converse of Prop. XXVII.) If two sides of a spherical triangle are unequal, the angles opposite are unequal, and the greater angle lies opposite the greater side. (Prove by Reductio ad Absurdum.')... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...of a great O meeting AC at D, and making Z CBD equal to Z C.) 614. Cor. (Converse of Prop. XXVII.) If two sides of a spherical triangle are unequal, the angles opposite are unequal, and the greater angle lies opposite the greater side. PROP. XXVIII. THEOREM. 615. The... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...angle. Let ABC be a triangle having ZC greater than ZA . To Prove AB > BC. SOLID GEOMETRY CONVERSE. If two sides of a spherical triangle are unequal, the angles opposite them are unequal, the greater angle lying opposite the greater side. [Prove indirectly.] 1150. EXERCISE. Prove the converse... | |
 | George Clinton Shutts - 1905 - 260 pages
...that CD is perpendicular to the hypotenuse A B. PROPOSITION XXXIV. 128. Theorem. // two sides of a triangle are unequal the angles opposite them are unequal, and the greater angle is opposite the greater side. A Let ABC represent a triangle in which the side AB is greater than the... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...unequal, the sides opposite are unequal, and the greater side is opposite the greater angle ; conversely, if two sides of a spherical triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. HYPOTHESIS. In the spherical A ABC,... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...unequal, the sides opposite are unequal, and the greater side is opposite the greater angle ; conversely, if two sides of a spherical triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side. HYPOTHESIS. In the spherical A ABC,... | |
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If two sides of a spherical triangle are unequal, the angles opposite them are unequal, and the greater angle lies opposite the greater side ; and conversely. 
