 The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.  Plane Geometry - Page 33by George Albert Wentworth - 1899 - 256 pagesFull view - About this book
 | John Bonnycastle - Trigonometry - 1806 - 464 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... | |
 | Francis Nichols - Plane trigonometry - 1811 - 162 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... | |
 | John Bonnycastle - Trigonometry - 1818 - 488 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... | |
 | James Mitchell - Mathematics - 1823 - 666 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... | |
 | James Hann - Spherical trigonometry - 1849 - 80 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... | |
 | Perry Fairfax Nursey - Industrial arts - 1849 - 650 pages
...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... | |
 | Industrial arts - 1849 - 654 pages
...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... | |
 | Archibald Sandeman - Algebra - 1868 - 500 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... | |
 | Edward Olney - Geometry - 1872 - 472 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... | |
 | Edward Olney - 1872 - 270 pages
...manner as to plane triangles. PROPOSITION XL 569. Theorem.—The sum of any two sides of a spherieal triangle is greater than the third side, and their difference is less than the third side. DEM.—Let ABC be any spherical triangle; then is BC < BA + AC, and BC - AC < BA; and the same is true... | |
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