 Two triangles which are such that the sides and angles of the one are equal respectively to the sides and angles of the other will be called congruent. If ABC be congruent with A'B'C', we shall express the fact by the notation : A ABC = A A'B'C'.  Lessons on form, for teachers [of geometry]. - Page 24by Richard Pears Wright - 1882Full view - About this book
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...symmetrical, (567) SYMMETRICAL SPHERICAL TRIANGLES. 707. Symmetrical Spherical Triangles are those in which the sides and angles of the one are equal respectively to the sides and angles of the other, but arranged in the reverse order. Thus, the spherical triangles ABC and A'B'C' are symmetrical when... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...apply to a plane triangle. 259. Two spherical polygons are symmetrical when the sides and angles of one are equal respectively to the sides and angles of the other, but arranged in the reverse order. In general they cannot be made to coincide by superposition. They... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...equal the angles A', B', C'. 648. Two spherical polygons are symmetrical when the sides and angles of one are equal respectively to the sides and angles of the other when taken in reverse order. Study the figures. 356 Let the pupil draw a sphere and show that the vertices... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...spherical polygons, on the same or equal spheres, are said to be symmetrical when the sides and angles of one are equal, respectively, to the sides and angles of the other, if the equal parts occur in the reverse order. Thus, if spherical A ABC and A'B'C', on the same or... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...spherical polygons, on the same or equal spheres, are said to be symmetrical when the sides and angles of one are equal, respectively, to the sides and angles of the other, if the equal parts occur in the reverse order. Thus, if spherical A ABC and A'B'C', on the same or... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...Two spherical polygons, on the same or equal spheres, are Symmetrical when the sides and angles of one are equal, respectively, to the sides and angles of the other, if the equal parts occur in opposite orders. Thus, if spherical &ABC and A'B'C', on the same or equal... | |
 | Edward Harrison Askwith - Conic sections - 1917 - 302 pages
...three ecircles. The centre of an ecircle is called an ecentre. (/) Two triangles which are such that the sides and angles of the one are equal respectively to the sides and angles of the other will be called congruent. . If ABC be congruent with A'B'C', we shall express the fact by the notation... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...triangles on the same sphere or on congruent spheres are said to be symmetric if the sides and angles of one are equal respectively to the sides and angles of the other and arranged in the opposite order. What are symmetric trihedral angles? (§52.) Ex. 1. Show how two... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...Symmetrical Spherical Triangles. Two spherical triangles are symmetrical if the sides and angles of one are equal respectively to the sides and angles of the other, but arranged in the opposite order. Compare § 146. SIGHT WORK 1. Is it possible to move the spherical... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...Symmetrical Spherical Triangles. Two spherical triangles are symmetrical if the sides and angles of one are equal respectively to the sides and angles of the other, but arranged in the opposite order. Compare § 146. SIGHT WORK 1. Is it possible to move the spherical... | |
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