| George Clinton Shutts - Geometry - 1912 - 392 pages
...•'• A2t8C== AA 'B'C' for they can be made to coincide. Therefore, Two triangles are congruent if **two angles and the included side of the one are equal to two angles and the included side** respectively of the other. 67. APPLICATION OP PROPOSITIONS I AND II. If two triangles are congruent... | |
| Arkansas Education Association - Education - 1912 - 270 pages
...included angle of the other," or that "Two triangles are equal if two angles and the included side of **one are equal to two angles and the included side of the other;"** and to any other theorem which yields to this method. If the pupil is to prove that "In any isosceles... | |
| Mathematics - 1917 - 284 pages
...and BC, being equal, are each marked with two cross lines. 76. Theorem : Two triangles are equal if **two angles and the included side of the one are equal to two angles and the included** of the other. Given: In A ABC and DEF, BC = EF, ZB = ZE, and ZC = Z F. To Prove: A ABC = A DBF. Proof:... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...of the other. See the figure SOLID GEOMETRY: BOOK V TRIANGLES EQUAL OR SYMMETRICAL 329. THEOREM XII. **Two triangles on the same sphere, or on equal spheres, are equal** or symmetrical if two sides and the included angle of one are equal respectively to two sides and the... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 232 pages
...of a triangle symmetrical to the given triangle. The proof is left for the student. 328. THEOREM XI. **Two triangles on the same sphere, or on equal spheres, are equal** or symmetrical if three sides of one are equal respectively to three sides of the other. SOLID GEOMETRY:... | |
| Raleigh Schorling, John Roscoe Clark - Mathematics - 1925 - 332 pages
...draw two congruent triangles, if we see to it that two angles and the included side of one triangle **are equal to two angles and the included side of the other** triangle. 7. Two Boy Scouts wished to know how far a target at T across a small lake was from their... | |
| Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...a. two sides and the included angle of the one are equal to the corresponding parts of the other; b. **two angles and the included side of the one are equal to** the corresponding parts of the other; c. they are mutually equilateral; d. they are mutually equiangular.... | |
| Howard Whitley Eves - Mathematics - 1997 - 370 pages
...from shore by using the fact that two triangles are congruent if two angles and the included side of **one are equal to two angles and the included side of the other.** Thomas L. Heath, the historian, has conjectured that this computation was probably made by an instrument... | |
| J. Douglas Faires - Mathematics - 2006 - 344 pages
...congruence by Side-Angle-Side. (SAS) Two triangles are congruent if two angles and an included side of **one are equal to two angles and the included side of the other.** This is called congruence by Angle-Side-Angle. (ASA) DEFINITION 5 A median of a triangle is a line... | |
| Electronic journals - 1885 - 456 pages
...we cannot know by a single intuition. For instance; two triangles lie before me, and I am told that **two angles and the included side of the one are equal to** the two angles and the included side of the other ; and I am further told that, such being the case,... | |
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