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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. "
The Elements of Plane Geometry - Side 21
av Charles Austin Hobbs - 1899 - 240 sider
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The Elementary Geometry of the Right Line and Circle ... With Exercises

William Alexander Willock - 1875 - 172 sider
...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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Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1876 - 208 sider
...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 Elements of Plane Trigonometry

Henry Nathan Wheeler - 1876 - 109 sider
...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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Elementary Geometry: Congruent Figures

Olaus Henrici - 1879 - 188 sider
...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...
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The School Journal, Volum 50

1895
...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 - 1888 - 386 sider
...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 - 1889 - 63 sider
...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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Prnciples of Plane Geometry

James Wallace Macdonald - 1894 - 65 sider
...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 - 1894
...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 - 1894 - 138 sider
...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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