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Bøker Bok 1120 av 154America, but know that we are alive, that two and two make four, and that the sum...
" 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. "
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 287
av Charles Hutton - 1825
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 sider
...is neither equal to AC, nor less than it, it must of necessity be greater. PROPOSITION XVI. THEOREM. The sum of any two sides of a triangle is greater than the third side. D In the triangle ABC, the sum of the two sides AC and BC is greater than the third side AB. For, produce...
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The Errors of Modern Infidelity: Illustrated and Refuted

Samuel Moshaim Schmucker - 1848 - 480 sider
...harmonize. Thus for instance, a whole college of savans might examine for an age the proposition that the sum of any two sides of a triangle is greater than the third side ; or the theorem, the square of the hypothenuse is equal to the squares of the other two sides ; and...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volum 51

Sholto Percy, Perry Fairfax Nursey - 1849
...introducing this subject 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...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 sider
...may be applied to each other, and the equal parts will mutually coincide. PROPOSITION VII. THEOREM. The sum of any two sides of a triangle, is greater than the third side. For the straight line AB is the shortest distance between the points A and B (Def. 3.); hence AC +...
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volum 15

1849
...this subject 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...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 216 sider
...angle CBD is greater than the angle CBF , consequently it is greater than the angle C. Of Triangles. THEOREM X. The sum of any two sides of a triangle...side. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third side AB. D For, the straight line AD is th«...
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ELEMENTARY GEOMETRY, WITH APPLICATIONS IN MENSURATION.

CHARLES DAVIS, L.L. D. - 1850
...angle CBD is greater than the angle CBF, consequently it is greater than the angle C, Of Triangles. THEOREM X. The sum of any two sides of a triangle...side. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third side AB. For, the straight line AB is the shortest...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...will be equal: for, when applied to each other, they will mutually coincide. PROPOSITION VII. THEOEEM. The sum of any two sides of a triangle, is greater...side. Let ABC be a triangle : then will the sum of two of its sides, as AB, BC, be greater than the third side AC. For the straight line AC is the shortest...
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Historic Doubts Respecting Shakspeare: Illustrating Infidel Objections ...

Samuel Mosheim Smucker - 1853 - 480 sider
...harmonize. Thus for instance, a whole college of savans might examine for an age the proposition that the sum of any two sides of a triangle is greater than the third side ; or the theorem, the square of the hypothenuse is equal to the squares of the other two sides ; and...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - 432 sider
...for, when applied to each other, they will mutually coincide. 26 GEOMETRY. PROPOSITION vl1. THEOREM. The sum of any two sides of a triangle, is greater...side. Let ABC be a triangle : then will the sum of two of its sides, as AB, BC, be greater than the third side AC For the straight line AC is the shortest...
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