 | Charles Davies - 1870 - 392 sider
...outward angle ABG,ot its equal CBD (Th. iii), is greater than the angle A. Of Triangles. _^__ THEOREM X. The sum of any two sides of a triangle is greater...third side. Let ABC be a triangle : then will the scm of two of its sides, as AC, CB, be greater than the third side AB. For the straight line AB is... | |
 | Edward Olney - 1872 - 562 sider
...than Ai/FB, and AdcdB shorter than McgB. Therefore, AbedB is shorter than ACDEFB. QED 274. 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. 2 To.... | |
 | Edward Olney - 1872 - 270 sider
...AJ/FB, and AicrfB shorter than McgB. Therefore, AbcdB is shorter than ACDEF'BQED 274. 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 Hue. 273.... | |
 | Charles Davies - 1872 - 464 sider
...throughout, and are therefore equal in all their parts (L, D. 14) ; which was to be proved. PROPOSITION VIL THEOREM. The sum of any two sides of a triangle is greater tJuin the third side. Let AB C be a triangle: then will the sum of any two sides, as AB, BC, be greater... | |
 | Adrien Marie Legendre - 1874 - 500 sider
...throughout, and are 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... | |
 | William Guy Peck - 1876 - 412 sider
...obtuse•angled ; if all the angles are acute, the triangle is acute•angled. EFH . K PROPOSITION VI. THEOREM. The 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... | |
 | William Guy Peck - 1876 - 376 sider
...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 - 1877 - 272 sider
...than 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 sider
...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 - 1879 - 512 sider
...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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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. 
