 | Euclides - 1860 - 142 pages
...triangles AGC, PGB, are equal; that is, angle A = BPG (I. 32, Cor. 3) = FPE (I. 15). EXERCISE XXII. — THEOREM. The sum of two sides of a triangle is greater than twice the line joining the vertex and the middle of the base. Let ABC be a triangle, and CO the line... | |
 | William Alexander Willock - Circle - 1875 - 196 pages
...other line is the hypothenuse of a right angled triangle, of which the perpendicular is a side. 7. The Sum of Two Sides of a Triangle is greater than the third side, and their Difference less. FIRST PART. — Let ACB be the triangle, and on AC produced... | |
 | Henry Nathan Wheeler - Plane trigonometry - 1876 - 130 pages
...two sides. /. In any triangle the greater side is opposite the greater angle, and the converse. g. The sum of two sides of a triangle is greater than the third side. h. Two angles are equal when their sides are respectively perpendicular ; but we must be... | |
 | Henry Nathan Wheeler - Trigonometry - 1876 - 204 pages
...two sides. /. In any triangle the greater side is opposite the greater angle, and the converse. g. The sum of two sides of a triangle is greater than the third side. h. Two angles are equal when their sides are respectively perpendicular ; but we must be... | |
 | Olaus Henrici - Congruences (Geometry) - 1879 - 218 pages
...than that of ABC. (7) Prove that the three axes of symmetry of a regular triangle meet in a point. (8) The sum of two sides of a triangle is greater than the sum of the segments joining a point within the triangle to the end points of the third side. (9) The perimeter... | |
 | Education - 1895 - 794 pages
...in which most minds are respecting moral concepts. All learn that three times four is twelve, that the sum of two sides of a triangle is greater than the third side, butthat lying and stealing are wrong does not seem to be so easily reached. We attain to... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...points, lines, and angles, similarly situated in equal or similar figures, are called homologous. 137. THEOREM. The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. PROPOSITION XXIII. THEOREM. 138. The... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...base of a triangle ? a. What the altitude ? b. What are its medians ? Proposition XXV. A Theorem. 62. The sum of two sides of a triangle is greater than the third, and the difference is less. Proposition XXVI. A Theorem. 63. If two triangles have two sides... | |
 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...base of a triangle ? a. What the altitude ? b. What are its medians ? Proposition XXV. A Theorem. 62. The sum of two sides of a triangle is greater than the third, and the difference is less. Proposition XXVI. A Theorem. 63. If two triangles have two sides... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...Two straight lines each parallel to a third straight line are parallel to each other. 134. Corollary. The sum of two sides of a triangle is greater than the third side (108). 135. Theorem. The sum of two sides of a triangle is greater than the sum of the lines... | |
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The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. 
