 ... if two triangles have two sides of one equal, respectively, to two sides of the other...  Plane Geometry - Page 133by John Charles Stone, James Franklin Millis - 1916 - 278 pagesFull view - About this book
 | 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...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,...the first greater than the third side of the second, PLANE GEOMETRY then the included angle of the first is greater than the included angle of the second.... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...inference as to the equality or inequality of AC, BD, and BE ? Explain your answer. Exercises. Triangles 1. If two triangles have two sides of one equal respectively to two sides of : the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are either... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 pages
...used in §§82 and 121. It is used also in the following theorems, §§ 243 and 244. 243. 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... | |
 | Douglas Waples - Education, Secondary - 1924 - 378 pages
...in the case of 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... | |
 | National Committee on Mathematical Requirements - Mathematics - 1927 - 208 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... | |
 | College Entrance Examination Board - Mathematics - 1920 - 108 pages
...its outer extremity is tangent to the circle. 2. Prove: If two triangles have two sides of one equal 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 side of the first is greater than the angle opposite the third side... | |
 | Education - 1899 - 698 pages
...triangles, define the terms (a) isosceles, (b) equilateral, (c) similar, (d) equivalent. 2. Demonstrate: If two triangles have two sides of one equal respectively to two sides oT the other, but the included angle of the first greater than the included angle of the second, the... | |
 | Howard Whitley Eves - Mathematics - 1997 - 370 pages
...first is greater than the third side of the second. 25. If two triangles have two sides of one equal to two sides of the other, but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
....'.EOEF. §225 That is, BOEF. PROPOSITION XXXII. THEOREM 232. If two triangles have two sides of the one equal respectively to two sides of the other,...the first greater than the third side of the second, then the angle opposite the third side of the first is greater than the angle opposite the third side... | |
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