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, the third side of the first is greater than the third side of the second... A Text-book of Geometry - Page 46by George Albert Wentworth - 1888 - 386 pagesFull view - About this book
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...transversal, the alternate exterior angles are equal. § 258. Theorem. If two triangles have two sides of one equal respectively to two sides of the other but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...exterior angles are equal. Prove by the indirect method. 258. Theorem. // two triangles have two sides of one equal respectively to two sides of the other but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...GEOMETRY: BOOK I UNEQUAL PARTS DT TWO TRIANGLES 139. THEOREM XI. If in two triangles two sides of one are equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than... | |
 | Herbert Ellsworth Slaught - Mathematics - 1918 - 344 pages
...GEOMETRY: BOOK I UNEQUAL PARTS IN TWO TRIANGLES 139. THEOREM XI. If in two triangles two sides of one are equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...Theorem 42 150. If two triangles have two sides of one equal respectively to two sides of the other and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. Given the triangles ABC and... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...sides is greater than the angle opposite the shorter. Prop. 19. // two triangles have two sides of one equal respectively to two sides of the other,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. Prop. 20. // two triangles... | |
 | Robert Remington Goff - 1922 - 136 pages
...the second, the third side of the fitst is greater than the third side of the second. *I42. // two triangles have two sides of the 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 included angle of the first... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...ZB, and a point so that ZACD>DCB, then AD>DB. in AB be taken PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, PLANE GEOMETRY then the included... | |
 | Douglas Waples - Education, Secondary - 1924 - 382 pages
...of the second, the third side of the first is greater than the third side of the second." * 6. "Two triangles have two sides of the one equal respectively...of the other, but the included angle of the first is greater than the included angle of the second. What do you think will be true of the third side?... | |
 | Douglas Waples - Education, Secondary - 1924 - 378 pages
...each subject illustrated. 1. a. "Prove the following proposition: If two tri angles have two sides of one equal respectively to two sides of the other, but the included angle of the first is greater than the included angle of the second, the third side of the first is greater than the third... | |
| |