Two triangles are equal if the three sides of the one are equal, respectively, to the three sides of the other. In the triangles ABC and A'B'C', let AB be equal to A'B', AC to A'C', BC to B'C'. To prove that A ABC = A A'B'C'. Elements of Plane and Solid Geometry - Page 44by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
| Geometry, Plane - 1911 - 192 pages
...multiplied by the circumference generated by its mid-point. F to the three angles of the other, then the three sides of the one are equal respectively to the three sides of .the other. 17. The radius of the base of a right circular cone is 3; the radius of the circumscribed sphere is... | |
| David Eugene Smith - Geometry - 1911 - 358 pages
...which is false, or if only one is false. THEOREM. Two triangles are congruent if the three sides i of the one are equal respectively to the three sides of the other. . It would be desirable to place this after the fourth proposition mentioned in this list if it could... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...Theorem XII. Two triangles on the same sphere, or on equal spheres, are either congruent or symmetric, if the three sides of the one are equal, respectively, to the three sides of the other. [The proof is left to the student.] 375. Theorem XIII. Two triangles on the same sphere, or on equal... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...Given AB = DC, Given and AC = AC. Iden. .'. A ABC is congruent to A CDA. § 80 (Two A are congruent if the three sides of the one are equal respectively to the three sides of the other.) and ZA CB = Z CAD. § 67 .'. AB is II to DC, and BC is II to AD. § 101 (When two lines in the same... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...Theorem XII. Two triangles on the same sphere, or on equal spheres, are either congruent or symmetric, if the three sides of the one are equal, respectively, to the three sides of the other. [The proof is left to the student. ] 375. Theorem XIII. Two triangles on the same sphere, or on equal... | |
| College Entrance Examination Board - Mathematics - 1915 - 72 pages
...used in preparation. GROUP A. (Answer four questions from this group.) 1. Two triangles are equal if the three sides of the one are equal respectively to the three sides of the other. 2. Construct a parallelogram, given a side 1| inches, the length of a diagona 2 inches, and the altitude... | |
| Mathematics - 1915 - 830 pages
...triangle is isosceles. (Reference to this theorem: Having 2<s=.) Theorem Two triangles are congruent if the three sides of the one are equal respectively to the three sides of the other. (Reference to this theorem: 3 sides=3 sides.) Theorem If two parallel lines are cut by a transversal,... | |
| John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...obstructed, each being visible from a third point 0 (§ 191). 66 192. THEOREM. Two triangles are congruent if the three sides of the one are equal, respectively, to the three sides of the other. FIG. 77. Given the A ABC and A'B'C' with sides AB, BC, CA equal, respectively, to sides A'B', B'C',... | |
| Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...Theorem XII. Two triangles on the same sphere, or on equal spheres, are either congruent or symmetric, if the three sides of the one are equal, respectively, to the three sides of the other. [The proof is left to the student.] 375. Theorem XIII. Two triangles on the same sphere, or on equal... | |
| Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...to illustrate different methods of demonstration. So with the theorem, "Two triangles are equal, if the three sides of the one are equal, respectively, to the three sides of the other." The pupil does not need three proofs to convince him that the theorem is true. But, the proofs, that... | |
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