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" America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side. "
Elements of Geometry and Trigonometry - Page 18
by Adrien Marie Legendre - 1838 - 269 pages
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The Realistic Assumptions of Modern Science Examined

Thomas Martin Herbert - Consciousness - 1879 - 480 pages
...there is a continent of America, but ' know that we are alive, that two and two make four, ' and that the sum of any two sides of a triangle is ' greater than the third side.' l In the example of belief given by Mr. Mill, ' we believe that there is a continent of America,' the...
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Elementary Geometry: Congruent Figures

Olaus Henrici - Congruences (Geometry) - 1879 - 218 pages
...less than the sum of the sides (or perimeter) of the triangle, but greater than half that sum. (n) The sum of any two sides of a triangle is greater than twice the concurrent median line. (12) The sum of the three median lines of a triangle is less than...
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A Geometry for Beginners

George Anthony Hill - Geometry - 1880 - 332 pages
...named. 3. What six parts has every triangle ? 4. Distinguish between exterior and interior angles. 5. The sum of any two sides of a triangle is greater than the third side. (5. Defme equilateral, isosceles, and scalene triangles. 7. Define the terms base, •vertex, and altitude....
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Metrical Geometry: An Elementary Treatise on Mensuration

George Bruce Halsted - Measurement - 1881 - 266 pages
...points is constant, is a straight line perpendicular to that which joins the two fixed points. 18. The sum of any two sides of a triangle is greater than twice the concurrent medial. 19. In every quadrilateral the sum of the squares of the four sides exceeds...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...an isosceles triangle. Prove that the angles at the base of such a triangle are equal. 2. Prove that the sum of any two sides of a triangle is greater than the third side. Enunciate a corresponding result for the difference of two sides of a triangle and the third side....
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...can be drawn to the four angles from any other point except the intersection of the diagonals. 13. The sum of any two sides of a triangle is greater than twice the median * drawn to the third side, and the excess of this sum over the third side is less...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...coincide throughout, and are therefore equal in all respects (I., D. 15) ; which was to be proved. PROPOSITION VII. THEOREM. The sum of any two sides...side. Let ABC be a triangle : then will the sum of any two sides, as AB, BC, be greater than the third side AC. For, the distance from A to C, measured...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 352 pages
...C. Of Triangles. THEOREM X. The sum of any two sides of a tr1angle is cheater than the third cide. Let ABC be a triangle • then will the sum of two of its sides, as AC, CB, be g1eater than the third side AB. A ft For the straight line AB is the shortest distance between the...
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The Realistic Assumptions of Modern Science Examined

Thomas Martin Herbert - Consciousness - 1886 - 390 pages
...there is a continent of America, but ' know that we are alive, that two and two make four, ' and that the sum of any two sides of a triangle is ' greater than the third side.'1 In the example of belief given by Mr. Mill, ' we believe that there is a continent of America,'...
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Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 pages
............................. C. MACDONALD, MA (For Matriculation.) GEOMETRY AND ALGEBRA TIME : THREE HOURS. 1. The sum of any two sides of a triangle is greater than the third eide. 2. Either diagonal of a parallelogram divides it into two triangles equal in every respect. 3....
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