 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...both members of the inequality and we have p^A + P^B > PA + PB. (Prelim inary Th. 3.) QED VII. 2 a. The difference between any two sides of a triangle is less than the third side. (Use Preliminary Th. 3.) VII. 3. If a series of parallels cut off equal segments on one transversal,... | |
 | Cora Lenore Williams - Geometry - 1905 - 56 pages
...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 a point within a triangle, two lines are drawn to the extremities of a side, their... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...respectively : shew that, if AB is greater than AC, then OB is greater than OC. 8. The difference of any two sides of a triangle is less than the third side. 9. The sum of the distances of any point from the three angular points of a triangle is greater than... | |
 | Alexander H. McDougall - Geometry - 1910 - 316 pages
...(I— 12, p. 50.) Similarly it may be shown that AB>BD. .. AB + AC> BD + DC, ie, AB + AOBC. Cor.— The difference between any two sides of a triangle is less than the third side. r ABC is a A. It is required to show that AB - AC < BC. AB < AC + BC. (1—16, p. 59.) From each of... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...+ DC. A Ex. 306. If from any point E in A ABC EB and EC are drawn, then Ex. 307. The difference of any two sides of a triangle is less than the third side. Ex. 308. A diagonal of a quadrilateral is less than one half the perimeter of the figure. PROPOSITION... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...AD + DC. AEx. 306. If from any point E in A ABC EB and EC are drawn, then Ex. 307. The difference of any two sides of a triangle is less than the third side. Ex. 308. A diagonal of a quadrilateral is less than one half the perimeter of the figure. PROPOSITION... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...are drawn, then AB + AC>EB + EC. HINT. Produce BE until it meets AC in D. Ex. 307. The difference of any two sides of a triangle is less than the third side. Ex. 308. A diagonal of a quadrilateral is less than one half the perimeter of the figure. PROPOSITION... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1919 - 232 pages
...Given two lines x and y, x being greater than y, construct 3 x — 2 y. 4. Show by construction that the difference between any two sides of a triangle is less than the third side. 6. A boy makes an error of 2' 8" in measuring the length of a lot which the surveyor says is 180' long.... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...point inside an equilateral triangle to the three sides is equal to the altitude. 236 Theorem 21a. The difference between any two sides of a triangle is less than the third side. Hint: If c <a+6, how can we express a in terms of b and c? Theorem 215. // two sides of a triangle... | |
 | Clarence Addison Willis - Geometry, Modern - 1922 - 320 pages
...two sides of a triangle is greater than the third side. Help. — Apply Postulate 4. Corollary. — The difference between any two sides of a triangle is less than the third side. Help. — Apply Axiom 3 to the conclusion of Theorem I. 119. Theorem II. — The sum of the angles... | |
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The difference between any two sides of a triangle is less than the third side. 
