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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. "
Epitome of the Art of Navigation; Or, a Short, Easy, and Methodical Way to ... - Side 132
av James Atkinson - 1765 - 447 sider
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Epitome of the Art of Navigation: Or, A Short, Easy and Methodical Way to ...

James Atkinson - 1770 - 514 sider
...or Globe into two equal Parts called Hemifpheres. 3. Any two Great Circles muft cut each other, and the Angles which are oppofite and contrary, are equal to one another. 4. The Sum of any two fides (of a Triangle ) is greater than the third Side. 5. The Sum of the three [ ^ | is lefs than \...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volum 1

Charles Hutton - 1816 - 610 sider
...then, being neither equal to AC, nor less than it, must necessarily be greater, q. ED • THEOREM X. THE Sum of any Two Sides of a Triangle is Greater than the Third Side. Let ABC be a triangle ; then will the sun) of any two of its sides be greater than -D the third side,...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 sider
...AB, then, being neither equal to AC, nor less than it, must necessarily be greater, o.. ED THEOREM X. THE Sum of any Two Sides of a Triangle is Greater than the Third Side. Let ABC be a triangle ; then will the . lum of .ny two of its side* be greater than the third side,...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 sider
...the greater angle; and, conversely, the greater of any two angles is subtended by the greater side. The sum of any two sides of a triangle is greater than the third side. If one side of any triangle be produced, the external angle is equal to both the internal and opposite...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 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. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third...
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Plane Trigonometry and Mensuration for the Use of the Royal Military College

William Scott - 1845 - 288 sider
...of ж2 =c2 — y1, or in that of the area of the triangle deduced from the expression — . ¿ Since the sum of any two sides of a triangle is greater than the third side, (Eue. i. 20.) half the sum of any two sides is greater than half the third side : therefore, half the...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 sider
...respectively equal, namely, the angle D=A, the side ED=BA, and the side DF=AC. PROPOSITION X. THEOREM. The nan of any two sides of a triangle is greater than the third side. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 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 - 494 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 Translated from the French of A.M ...

Charles Davies - 1849 - 372 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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