 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...therefore equal in all their parts (I., D. 14) ; which was to be proved. PROPOSITION VH. THEOREM. The sum of any two sides of a triangle is greater than the third side. I Let AS C be a triangle : then will the sum of any two sides, as AS, SC, be greater than the third... | |
 | Charles Davies - 1874 - 464 pages
...was to be proved. PROPOSITION VH. THEOREM. Tf1e sum of any two sides of a triangle is greater than third 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... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...obtuse-angled ; if all the angles are acute, the triangle is acute-angled. PROPOSITION VI. THEOREM. TJie sum of any two sides of a triangle is greater than the third side. Let ACD be any triangle. The distance from A to D, measured on the broken line ACD, is greater than the... | |
 | Edward Olney - Geometry - 1877 - 272 pages
...AJ/FB, and McdB shorter than AbcgB. Therefore, McdB is shorter than ACDEFB. QBD . COR. 1. — The sum of any two sides of a triangle is greater than the third side. This is the same as the axiom that the shortest distance between two points is a straight line. 273.... | |
 | Euclides - 1877 - 58 pages
...a straight line two equal straight lines can be drawn to the line, but only two. 5. The difference of any two sides of a triangle is greater than the third side. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Let... | |
 | Thomas Martin Herbert - Consciousness - 1879 - 512 pages
...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... | |
 | Thomas Martin Herbert - Consciousness - 1879 - 480 pages
...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... | |
 | George Anthony Hill - Geometry - 1880 - 332 pages
...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.... | |
 | College of preceptors - 1882 - 528 pages
...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.... | |
 | Euclides - 1884 - 434 pages
...BC at D ; prove that AB is greater than BD, and AC greater than CD. PROPOSITION 20. THEOREM. The sum of any two sides of a triangle is greater than the third side. lc Let ABC be a triangle : it is required to prove that the sum of any two of its sides is greater... | |
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The sum of any two sides of a triangle, is greater than the third side. 
