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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. "
Elementary Geometry: Congruent Figures - Page 114
by Olaus Henrici - 1879 - 188 pages
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...that of the latter. 7- The difference between two sides of a triangle is less than the third side. 8. The sum of two sides of a triangle is greater than twice the line joining the vertex and the middle of the hase. 9. Half the base of a triangle is greater...
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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...
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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...
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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...
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The School Journal, Volume 50

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

John Tilden Prince - Arithmetic - 1894 - 254 pages
...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...
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An Examination Manual in Plane Geometry

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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