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" The sum of any two sides of a triangle, is greater than the third side. "
Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 35
by Nathan Scholfield - 1845
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Epitome of the Art of Navigation; Or, a Short, Easy, and Methodical Way to ...

James Atkinson - Navigation - 1765 - 447 pages
...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
...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
...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, 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
...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 than the...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
...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, 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
...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 Private Tuition ...

Charles Hutton - Mathematics - 1831
...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
...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...is the shortest distance between the points A and 15 (Def. 3.) ; hence AC + CB is greater than AB. A. PROPOSITION VIII. THEOREM. If from any point within...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 359 pages
...applied to each other, and the equal parts will mutually coincide. 4 PROPOSITION VII. THEOREM. The sum of any two sides of a triangle, is greater than the...shortest distance between the points A and B (Def. 3.) ; hence AC + CB is greater than AB. A. PROPOSITION VIII. THEOREM. If from any point within a triangle,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 359 pages
...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...than the third side AB. For the straight line AB is tlte shortest distance between the points A and B (Def. 3.); hence AC + CB is greater than AB. A. PROPOSITION...
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