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" ... respectively equal to two face angles and the included dihedral angle of the other. "
Solid Geometry - Page 308
by Walter Burton Ford, Charles Ammerman - 1913 - 107 pages
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...are equal when two face angles and the included dihedral angle of the one are equal, respectively, to two face angles and the included dihedral angle of the other, and similarly placed. Ex. 624. If the face angle ASB of the trihedral angle S-ABC is bisected by the...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...are equal when two face angles and the included dihedral angle of the one are equal, respectively, to two face angles and the included dihedral angle of the other, and similarly placed. Ex. 624. If the face angle ASB of the trihedral angle S-ABC is bisected by the...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...two trihedral angles have two face angles and the included dihedral angle of one equal, respectively, to two face angles and the included dihedral angle of the other, they are either identically equal or symmetrical, according as the parts are arranged in the same order...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 396 pages
...symmetrical if they have two face angles and the included dihedral angle of one equal respectively to two face angles and the included dihedral angle of the other. 901. EXERCISE. Two trihedral angles are equal or symmetrical if they have two dihedral angles and the...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...are equal when two face angles and the included dihedral angle of the one are equal, respectively, to two face angles and the included dihedral angle of the other and similarly placed. Ex. 624. If the face angle ASE of the trihedral angle S-ABC is bisected by the...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...they are equal : I. If two face angles and the included dihedral angle of one are equal respectively to two face angles and the included dihedral angle of the other. II. If a face angle and the two dihedral angles adjoining it of the one are equal respectively to a...
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...are either congruent or symmetric if they have two face angles and the included dihedral angle of one respectively equal to two face angles and the included dihedral angle of the other. Superpose if the parts are arranged in like order. If not, superpose one on the triangle that is opposite...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...of the other; II. If two face angles and the included dihedral angle of one are equal respectively to two face angles and the included dihedral angle of the other ; III. If the three face angles of one are equal respectively to the three face angles of the other...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...angles are congruent if two face angles and the included dihedral angle of the one are respectioely equal to two face angles and the included dihedral angle of the other, the equal parts being arranged in the same order. [Proof by superposition.] PROPOSITION XXVI. THEOREM...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...angles are equal when two face angles and the included dihedral angle of the one are equal respectively to two face angles and the included dihedral angle of the other, and are similarly placed. 7. If the face angle AVB of the trihedral angle V-ABC is bisected by the...
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