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 Bøker Bok 81–90 av 150 på America, but know that we are alive, that two and two make four, and that the sum... 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. A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 287
av Charles Hutton - 1825
Uten tilgangsbegrensning - Om denne boken ## New Plane Geometry

Webster Wells - 1908 - 174 sider
...Subtracting AC from both members of the inequality, AB>BC-AC. ~ V •-A\^ PROP. -XL THEOREM <&&: Tlie sum of any two sides of a triangle is greater than the su-ttvof the lines drawn from any point within the triangle to the extremities of the remaining side....
Uten tilgangsbegrensning - Om denne boken ## The Dublin University Calendar, Volum 1

...proportional 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...
Uten tilgangsbegrensning - Om denne boken ## Wentworth's Plane Geometry

David Eugene Smith - 1910 - 287 sider
...also r ? 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...
Uten tilgangsbegrensning - Om denne boken ## Second-year Mathematics for Secondary Schools, Volum 2

George William Myers - 1910 - 282 sider
...1-4 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;...
Uten tilgangsbegrensning - Om denne boken ## Plane Geometry

Clara Avis Hart, Daniel D. Feldman - 1911 - 303 sider
...sum of 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...
Uten tilgangsbegrensning - Om denne boken ## Solid Geometry

Clara Avis Hart, Daniel D. Feldman, John Henry Tanner, Virgil Snyder - 1912 - 188 sider
...last step in the argument he should state which of these suppositions have been proved false. 167. The sum of any two sides of a triangle is greater than the third side. 168. Any side of a triangle is less than the sum and greater than the difference of the other two....
Uten tilgangsbegrensning - Om denne boken ## Plane and Solid Geometry

George Wentworth, George Albert Wentworth, David Eugene Smith - 1913 - 470 sider
...also r ? From these relations find the number of degrees in p + q + r. /* PEOPOSITION 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...
Uten tilgangsbegrensning - Om denne boken ## Solid Geometry

John Charles Stone, James Franklin Millis - 1916 - 174 sider
...one equal to an angle of the other, and the including sides proportional, they are similar. § 146. The sum of any two sides of a triangle is greater than the third side. § 148. If two triangles have two sides of one equal respectively to two sides of the other, but the...
Uten tilgangsbegrensning - Om denne boken ## Plane Geometry

John Charles Stone, James Franklin Millis - 1916 - 278 sider
...line-segment that can be drawn from the point to the line. The proof is left to the student. 146. Theorem. — The sum of any two sides of a triangle is greater than the third side. Hypothesis. A ABC is any triangle. Conclusion. AC + BC > AB. Suggestions. Produce AC through C to D,...
Uten tilgangsbegrensning - Om denne boken ## Solid Geometry

John H. Williams - 1916 - 162 sider
...that line. 92. If one of two parallel lines is perpendicular to a third line, the other is also. 107. The sum of any two sides of a triangle is greater than the third side. 109. The sum of the angles of a triangle is equal to two right angles. 114. In an equiangular triangle...
Uten tilgangsbegrensning - Om denne boken