 Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...  The Elements of Geometry - Page 24by Webster Wells - 1894 - 378 pagesFull view - About this book
 | Webster Wells - Geometry - 1899 - 450 pages
...theorem follows by § 109.) PROP. XLII. THEOREM. 113. Two parallelograms are equal when two adjacent sides and the included angle of one are equal respectively to two adjacent sides and the included angle of the other. Given, in [3 ABCD and EFQH, AB = EF, AD = EH, and... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...theorem follows by § 109.) PROP. XLII. THEOREM. 113. Two parallelograms are equal when two adjacent sides and the included angle of one are equal respectively to two adjacent sides and tlte included angle of the other. Given, in SJ ABCD and EFGH, AB = EF,AD = EH, and... | |
 | William Coligny Doub - Education - 1900 - 120 pages
...the principles of cube root; in geometry, prove the following theorem: "Two triangles are equal, if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other;" in reading, several pages from the "Lady of the Lake;" in grammar, conjugation of some... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 168 pages
...included side of one are equal, respectively, to two angles and the included side of the other. (2) lf two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. (3) lf the three sides of one are equal, respectively, to the three sides of the other.... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...VI.) Why? (Axiom 2.) But Z BDC is Z EDF, which is therefore equal to Z BAG. Hence in As BAC and EDF, two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. Name them. ELEMENTARY GEOMETRY [CHAP. I In Article 46 we showed that for every angle... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...the preceding exercise. PROPOSITION XXXVI. THEOREM 142. Two parallelograms are equal if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. A DA' D' Hyp. In IS ABCD and A'B'C'D', AB = A'B',... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...CBD, is greater than either of the opposite interior angles, A or C. PROPOSITION XIX. — THEOREM. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. Given. — Let ABC... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...the preceding exercise. PROPOSITION XXXVI. THEOREM 142. Two parallelograms are equal if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. B c B' o' AD A' D' Hyp. In IS ABCD and A'B'C'D',... | |
 | Arthur Schultze - 1901 - 260 pages
...the preceding exercise. PROPOSITION XXXVI. THEOREM 142. Two parallelograms are equal if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. B CB' C' A DA' D' Hyp. In H] ABCD and A'B'C'D',... | |
 | Israel Euclid Rabinovitch - Geometry - 1903 - 140 pages
...that any two triangles whose sides are respectively equal to each other are congruent. Theorem 11. — Two triangles are equal when two sides and the included angle of one are respectively equal to two sides and the included angle of the second. The demonstration given by Euclid... | |
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