 DE'F, and consequently symmetrical with DEF. PROPOSITION XIII.—THEOREM. 55. Two triangles on the same sphere are either equal or symmetrical, when a side and two adjacent angles of one are equal respectively to a side and two adjacent angles of the...  Key to the Exercises in Wells's New Geometry - Page 100by Webster Wells - 1909Full view - About this book
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...the same sphere, or equal spheres, are equal or equivalent, if a side and two adjacent angles of the one are equal respectively to a side and two adjacent angles of the other. 751. Two mutually equilateral triangles on the same sphere, or equal spheres, are mutually equiangular,... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...out are (qua! respectively to two sides and the included angle of the other. II. If a side and the two adjacent angles of one are equal respectively to a side and the two adjacent angles of the other. III. If the three sides of one are equal respectively to the... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...PROPOSITION XII 79. Theorem. Two triangles are equal if they have a side and two adjacent angles of one equal respectively to a side and two adjacent angles of the other. Appl. Cons. Dem. X = X' Y= Y' Prove A are = Place AC upon 13 AB falls upon 12 [=by hyp.] [.r=-v] CB... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...one are equal respectively to two sides and the included angle of the other. II. If a side and the two adjacent angles of one are equal respectively to a side and the two adjacent angles of the other. III. If the three sides of one are equal respectively to the... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...equal figures, lines or angles similarly situated are called Homologous. PROPOSITION XIV. THEOREM. 88. Two triangles are equal when a side and two adjacent...respectively to a side and two adjacent angles of the other. C C' B A' In the triangles ABC and A'B'C', let AB = A'B', Z B = Z B'. To prove that the triangles are... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...It follows from § 65 that In equal figures, the homologous parts are equal. PROP. XVI. THEOREM. 68. Two triangles are equal when a side and two adjacent...respectively to a side and two adjacent angles of the other. C A. BDE Given, in A ABC and DEF, AB = DE, ZA = ZD, and ZB = ZE To Prove A ABC = A DEF. Proof. Superpose... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...the equal angles lie opposite the equal sides. PROP. XVI. THEOEEM. 68. Two triangles are equal u'hen a side and two adjacent angles of one are equal respectively to a side and two adjacent angles of the other. F A. BDE Given, in A ABC and DEF, AB = DE, ZA = ZD, and ZB = Z E. To Prove A ABC = A DEF. Proof. Superpose... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...It follows from § 65 that In equal figures, the homologous parts are equal. PROP. XVI. THEOREM. 68. Two triangles are equal when a side and two adjacent...respectively to a side and two adjacent angles of the other. Given, in A ABC and DEF, AB = DE, ^A = ^D, and Z 5 To Prove AABC = ADEF. Proof. Superpose A ABC upon... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...spherical triangles on the same sphere, or equal spheres, have a side and two adjacent angles of one equal, respectively, to a side and two adjacent angles of the other, J. They are equal if the equal parts occur in the same order. II. They are symmetrical if the equal... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...spherical triangles on the same sphere, or equal spheres, have a side and two adjacent angles of one equal, respectively, to a side and two adjacent angles of the other, I. They are equal if the equal parts occur in the same order. II. They are symmetrical if the equal... | |
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