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" B' S' C,' C S' A' and the dicdral angles .S" A, SB, SC to the diedral angles 5" A,' S' B,' S' C.' Symmetrical spherical triangles arc those in which the sides and angles of the one are equal respectively to the sides and angles of the other, but arranged... "
Solid Geometry, with Problems and Applications - Page 120
by Herbert Ellsworth Slaught, Nels Johann Lennes - 1919 - 211 pages
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Lessons on form, for teachers [of geometry].

Richard Pears Wright - 1882 - 136 pages
...triangles ADC, BDC, will coincide with one another in every respect, because the sides and angles of the one are equal respectively to the sides and angles of the other. Triangles which coincide with one another are said to be equal. In equal triangles both the sides and...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...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 the vertices of the...
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The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...the same conditions that apply to a plane triangle. 259. Two spherical polygons are symmetrical when the sides and angles of one are equal respectively...sides and angles of the other, but arranged in the reverse order. In general they cannot be made to coincide by superposition. They lean in different...
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Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...A, B, C respectively 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...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...intersections. 591. Two 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...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...divided by diagonals from any vertex. 708. Spherical triangles 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, are called Symmetrical Spherical Triangles. Two spherical triangles are symmetrical,...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 pages
...coincide. They are said to be symmetrical when the sides and angles of the one are respectively equal to the sides and angles of the other, but arranged in the reverse order. Thus, the spherical triangles ABC and ABiCi (Fig. 12) are equal if they can be brought...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 336 pages
...intersections. 544. Two 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...
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Spherical Trigonometry: For Colleges and Secondary Schools

Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...coincide. They are said to be symmetrical when the sides and angles of the one are respectively equal to the sides and angles of the other, but arranged in the reverse order. Thus, the spherical triangles ABC and A^C^ (Fig. 12) are equal if they can be brought...
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Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...coincide. They are said to be symmetrical when the sides and angles of the one are respectively equal to the sides and angles of the other, but arranged in the reverse order. Thus, the spherical triangles ABC and A-Ji^ (Fig. 12) are equal if they can'be brought...
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