 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...perpendicular. 81. A triangle is a portion of a plane bounded by three straight lines. 92. The sum of any two sides of a triangle is greater than the third side. 94. The perpendicular is the shortest line that can be drawn from a given point to a given line. other... | |
 | Cora Lenore Williams - Geometry - 1905 - 122 pages
...two equal oblique lines can be drawn from a given point to a given straight line. Prop. 38. The sum of any two sides of a triangle is greater than the third side. Prop. 39. The difference of any two sides of a triangle is less than the third side. Prop. 40. If from... | |
 | Richard Frederick Scholz, Stanley Kuhl Hornbeck - Rhodes scholarships - 1907 - 192 pages
...them are equal. 2. Find the locus of points which are equidistant from two given points. 3. The sum of any two sides of a triangle is greater than the third side. 4. Make a triangle equal in area to a given triangle and having one of its angles equal to a given... | |
 | Trinity College (Dublin, Ireland) - 1907 - 536 pages
...half-inches in length, internally and externally in the ratio of 5 to 3. Theoretical. 4. Prove that the sum of any two sides of a triangle is greater than the third aide. 5. Prove geometrically that the rectangle under the sum and difference of two lines is equal... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...base of one double the altitude of the other, the triangles are equivalent. 107. Theorem IX. The sum of any two sides of a triangle is greater than the third side. Draw the sum of the two sides in the simplest position possible ; then classify. 108. COR. I. The difference... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...From these relations find the number of degrees in p + q + r. /* PROPOSITION XX. THEOREM 112. The sum of any two sides of a triangle is greater than the third side, and the difference between any two sides is less than the third side. AB Given the triangle ABC, with... | |
 | Trinity College (Dublin, Ireland) - 1910 - 578 pages
...between, two lines whose lengths are 2 and 3 cms. or halfinches. Theoretical. 4. Prove that the sum of any two sides of a triangle is greater than the third side. 5. Show how to construct a triangle equal in area to a polygon having five or more sides. 6. Prove... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...will now be shown to be immediate consequences of Axioms 8 and 10. PROPOSITION I 196. Theorem: The sum of any two sides of a triangle is greater than the third side, and their difference is less than the third side. Given any triangle ABC. To prove: a+b>c; b+c>a; a—b<.c;... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...and 6, and the altitude to the third side, c. (See § 152.) PROPOSITION XVIII. THEOREM 167. The sum of any two sides of a triangle is greater than the third side. Given A ABC. To prove a + c > b. ARGUMENT 1. Prolong c through B until prolongation JW = a. 2. Draw... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...any two angles of a triangle is less than two right angles. PROPOSITION XVIII. THEOREM 167. The sum of any two sides of a triangle is greater than the third sideGiven AJ.BC. To prove a -{. c>bAKGUMBNT 1. Prolong c through B until prolongation £D = a. 2. Draw... | |
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The sum of any two sides of a triangle, is greater than the third side. 
