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Books Books 1 - 10 of 167 on The sum of two sides of a triangle is greater than the third side, and their difference....  
" The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. "
The Teaching of Geometry - Page 188
by David Eugene Smith - 1911 - 339 pages
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1806 - 419 pages
...is opposite to the greater angle, and the less side to the less angle. 3. The sum of any two sides is greater than the third side ; and their difference is less than the third side. 4. The difference of any two sides is less than 180; and the sum of the three sides is less than...
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 128 pages
...is opposite to the greater angle, and the less side to the less angle. 27. The sum of any two sides is greater than the third side, and their difference is less than the third side. 28. The difference of any two sides is less than 180, or a semicircle; and the sum of the three sides...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1818 - 438 pages
...the greater angle, and the less side to the less angle. 3. The sum of any two sides of a spherical triangle, is greater than the third side ; and their difference is less than the third side. 4. The difference of any two sides of a spherical triangle is less than a semicircle, or 180; and...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Physical sciences - 1823 - 576 pages
...spherical triangle is less than a semicircle, or 180. 3. The sum of any two sides of a spherical triangle is greater than the third side; and their difference is less than the third side. 4. The dilference of any two Aides of a spherical triangle is less than a semicircle, or ISO9 ; and...
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The elements of spherical trigonometry

James Hann - Spherical trigonometry - 1849 - 68 pages
...less than 90, all equal to 90, or all greater than 90, and vice versa. The sum of any two sides is greater than the third side, and their difference is less than the third side. The sum of any two angles is greater than the supplement of the third angle. The sum of the three sides...
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 15

Industrial arts - 1849
...to the notice of the reader, tne author remarks, that " Euclid has demonstrated that tho sum of any two sides of a triangle is greater than the third side ; and from this proposition Mr. Simpson has solved the very useful problem of finding a point in a line given...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 51

Sholto Percy - Industrial arts - 1849
...to the notice of the reader, the author remarks, that " Euclid has demonstrated that the sum of any two sides of a triangle is greater than the third side ; and from this proposition Mr. Simpson has solved the very useful problem of finding a point in a line given...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...triangles AGC, PGB, are equal; that is, angle A = BPG (I. 32, Cor. 3) = FPE (I. 15). EXERCISE XXII. THEOREM. The sum of two sides of a triangle is greater than twice the line joining the vertex and the middle of the base. Let ABC be a triangle, and CO the line...
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Pelicotetics, Or, The Science of Quantity: An Elementary Treatise on Algebra ...

Archibald Sandeman - Algebra - 1868 - 464 pages
...EF whereof no adjoining two are in one straight line and AC AD AE AFbe joined the line ABC made up of two sides of a triangle is greater than the third side AC therefore to each putting CD ABCD>ACD but A CD either is AD to wit if AC CD be in one straight line...
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A Treatise on Special, Or Elementary Geometry

Edward Olney - Geometry - 1872 - 239 pages
...manner as to plane triangles. PROPOSITION XI. 569. Theorem. The sum of any two sides of a spherical triangle is greater than the third side, and their difference is less than the third side. DEM. Let ABC be any spherical triangle; then l3 BO' < BA + AC, and BC - AC < BA ; and the same is...
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