| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 354 pages
...AC=AC, Hyp. ^4^f=^4^r, Iden. angle CAX= angle C'^4^T. Cons. Hence triangle ACX= triangle ACX. §78 [If **two triangles have two sides, and the included angle of the one equal** respectively to two sides and the included angle of the other, the triangles are equal.] Hence XC=XC.... | |
| International Correspondence Schools - Surveying - 1898
...may be readily found by multiplying the known volume by (£) ' = j^. SURVEYING. GEOMETRY. 118O. If **two triangles have two sides and the included angle...the one equal to two sides and the included angle** of the other, the triangles are ( equal in all their parts. Thus, in the two triangles ABC and DEF,... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 406 pages
...steps in the following demonstration: DEMONSTRATION OF PROP. I. (MODEL FOR PUPILS.) /. Theorem. If any **two triangles have two sides and the included angle of the one equal** respectively to two sides and the included angle of the other, the triangles are equal. //. Given:... | |
| International Correspondence Schools - Civil engineering - 1899
...947-1016 1333 Railroad Structures, - Questions 1017-1082 1339 SURVEY1NG. FIG. aw. GEOMETRY. 1 18O. If **two triangles have two sides and the included angle...the one equal to two sides and the included angle** of the other, the triangles are equal in all their parts. Thus, in the two triangles ABC and DEF, Fig.... | |
| International Correspondence Schools - Civil engineering - 1899
...Stations, - - 1274 Coaling Stations, ... - 1281 Turntables, - - - 1285 SURVEYING. GEOMETRY. 1 1 8O. If **two triangles have two sides and the included angle...the one equal to two sides and the included angle** of the other, the triangles are equal in all their parts. Thus, in the two triangles ABC and DEF, Fig.... | |
| William James Milne - Geometry - 1899 - 384 pages
...Theorem. Two triangles on the same, or on equal spheres, having two sides and the included angle of **one equal to two sides and the included angle of the other, each to each,** are either equal or equivalent. Data : Two spherical triangles, as ABC and DEF, in which AB = DE, AC=... | |
| WPPSTER WOODRUFF BEMAN, DAVID EUGENE SMITH - 1899
...in space while two of its points remain fixed. PROP. I.] TRIANGLES. PROPOSITION I. 62. Theorem. If **two triangles have two sides and the included angle of the one** respectively equal to two sides and the included angle of the other, the triangles are congruent. Given... | |
| International Correspondence Schools - History - 1900 - 637 pages
...opposite or vertical angles are equal. 4. If two angles have their sides parallel, they are equal. 5. If **two triangles have two sides, and the included angle...the one equal to two sides and the included angle** of the other, they are equal in all their parts. 6. If two triangleshave two angles, and the included... | |
| Manitoba. Dept. of Education - Education - 1900
...briefly the use of definitions, postulates and axioms, respectively, in the science of geometry. 2. If **two triangles have two sides and the included angle of the one** respectively equal to two sides and the included angle of the other the two triangles shall be equal... | |
| Thomas Franklin Holgate - Geometry - 1901 - 440 pages
...The theorem of Proposition IV may be divided into hypothesis and conclusion, thus : Hypothesis. If **two triangles have two sides and the included angle of the one equal,** respectively, to two sides and the included angle of the other, Conclusion. Then the triangles are... | |
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