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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. "
Secondary-school Mathematics - Σελίδα 354
των Robert Louis Short, William Harris Elson - 1911
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Elements of Geometry, Theoretical and Practical: Including Constructions of ...

Eugenius Nulty - 1836 - 242 σελίδες
...connecting lines. THEOREM v. 38. Aпу two sides of a triangle are together greater than two right lines drawn from any point within the triangle, to the extremities of the third side. Any two sides AB, В С of the triangle ABС are together greater than AD, D С, drawn from the interior...

The elementary geometry of the right line and circle

William Alexander Willock - 1875 - 196 σελίδες
...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...

The Elements of Plane Trigonometry

Henry Nathan Wheeler - 1876 - 130 σελίδες
...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...

Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1876 - 204 σελίδες
...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...

Elementary Geometry: Congruent Figures

Olaus Henrici - 1879 - 218 σελίδες
...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...

The School Journal, Τόμος 50

1895 - 794 σελίδες
...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...

A Text-book of Geometry

George Albert Wentworth - 1888 - 264 σελίδες
...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...

Principles of Plane Geometry

James Wallace MacDonald - 1894 - 76 σελίδες
...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...

Principles of Plane Geometry

James Wallace MacDonald - 1889 - 80 σελίδες
...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...

An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 150 σελίδες
...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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