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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. "
Plane Geometry, with Problems and Application - Page 261
by Herbert Ellsworth Slaught - 1918 - 332 pages
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Pelicotetics, Or, The Science of Quantity: An Elementary Treatise on Algebra ...

Archibald Sandeman - Algebra - 1868 - 500 pages
...EF whereof no adjoining two are in one straight line and AC AD AE AFbe joined the line ABC made up of two sides of a triangle is greater than the third side AC therefore to each putting CD ABCD>ACD but A CD either is AD to wit if AC CD be in one straight line...
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The elementary geometry of the right line and circle

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 let CD be equal...
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Plane and Spherical Trigonometry

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 careful to...
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The Elements of Plane Trigonometry

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 careful to...
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Elementary Geometry: Congruent Figures

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...
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The School Journal, Volume 50

Education - 1895 - 794 pages
...condition 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 the belief...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...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 sum of the...
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Principles of Plane Geometry

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 and the...
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Principles of Plane Geometry

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 and the...
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Teachers' Manual for Teachers Using Arithmetic by Grades

John Tilden Prince - Arithmetic - 1894 - 254 pages
...exercises are a review of previous work. 69 The conclusion in 1, after several similar experiments, is, that the sum of two sides of a triangle is greater than the third side. The two ways of finding by experiment the sum of the angles of a triangle are : (1) Cutting off the...
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