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" The sum of any two sides of a triangle is greater than the third side. "
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 26
by Charles Davies - 1854 - 432 pages
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Epitome of the Art of Navigation; Or, a Short, Easy, and Methodical Way to ...

James Atkinson - Navigation - 1765 - 504 pages
...Circles cutting each other, the Angles which are oppofite and contrary, are equal to one another. 4. The Sum of any two Sides (of a Triangle) is greater than the third Side. 5. The Sum of the three J jjJJ*^ lis lefs than a J more than i8od. _r6. Any two Sides added together,...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811
...AB, then, being neither equal to AC, nor less than it, must necessarily be greater. QED i THEOREM X. THE Sum of any Two Sides of a Triangle is Greater than the Third Side. Let ABC be a triangle ; t'jien will the < I) sum of any two of its sides be greater than the third side, as for instance,...
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A Course of Mathematics: In Two Volumes : for the Use of Academies, as Well ...

Charles Hutton - Mathematics - 1816
...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...Third Side. Let ABC be a triangle ; then will the sun) of any two of its sides be greater than -D the third side, as for instances, AC + CB S greater...
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1818 - 646 pages
...AB, then, being neither equal to AC, nor less than it, must necessarily be greater. QED THEOREM X. THE Sum of any Two Sides of a Triangle is Greater...Side. Let ABC be a triangle ; then will the sum of any two of its sides be greater than D the third side, as for instances, AC -f- CB S greater than AB....
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 618 pages
...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...Third Side. Let ABC be a triangle ; then will the . lum of .ny two of its side* be greater than the third side, as for instances, AC -J-cB greater than...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...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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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 670 pages
...equal to AC, nor less than it, must necessarily be greater, a. ED T1IEOBEH X. THE sum of any two sidtes of a triangle is greater than the third side. Let ABC be a triangle ; then will the тч sum of any two of its sides be greater , than the third side, as for instance, ft ^ AC + ев...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...for they 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...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 distance between...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...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...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 distance between...
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Plane Trigonometry and Mensuration for the Use of the Royal Military College

William Scott - Measurement - 1845 - 290 pages
...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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