 If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.  Solid Geometry - Page 435by Claude Irwin Palmer - 1918 - 177 pagesFull view - About this book
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...the median AK is drawn forming an acute angle AKB. Which is the greater, AB or AC? Theorem 43 151. If two triangles have two sides of one equal respectively to two sides of the other and the third side of the first greater than the third side of the second, the included angle of the... | |
 | Marie Gugle - Mathematics - 1920 - 264 pages
...relative lengths of the sides. Describe each kind. 5. Give the formula for the area of a triangle. 6. Two triangles have two sides of one equal respectively to two sides of the other. In the first triangle these sides form an angle of 90°, and in the second an angle of 60°. Which... | |
 | United States. Office of Education - 1921 - 1286 pages
...Inequalities. — In the theorems regarding inequalities, the functional quality is even more pronounced. Thus, if two triangles have two sides of one equal respectively to two sides of the other, but if the included angle between these sides in the one triangle is greater than the corresponding angle... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...the second, the third side of the first is greater than the third side of the second. Prop. 20. // two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side... | |
 | Education - 1921 - 1190 pages
...Inequalities. — In the theorems regarding inequalities, the functional quality is even more pronounced. Thus, if two triangles have two sides of one equal respectively to two sides of the other, but if the included angle between these sides in the one triangle is greater than the corresponding angle... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...The limits of the penumbra are determined by the common internal tangents to the earth and sun. 330. Theorem. If two triangles have two sides of one equal...of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...illustrate the notion of the dependence of one quantity upon another (functional relationship) ? 331. Theorem. If two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the angle opposite the third... | |
 | National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...Inequalities. — In the theorems regarding inequalities, the functional quality is even more pronounced. Thus, if two triangles have two sides of one equal respectively to two sides of the other, but if the included angle between these sides in the one triangle is greater than the corresponding angle... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...perpendicular from a point outside a straight line is the shortest line from the point to the line. 151. If two triangles have two sides of one equal respectively to two sides of the other and the third side of the first greater than the third side of the second, the included angle of the... | |
 | Robert Remington Goff - 1922 - 136 pages
...perpendicular, the greater cuts off the greater distance. *I4I. // two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the fitst is greater than the third... | |
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