 | Trinity College (Hartford, Conn.) - 1888 - 978 pages
...trihedral" angles. 4. A sphere may be inscribed in any given tetrahedron. 5. In two polar spherical triangles each angle of the one is the supplement of the opposite side in the other. PLANS TRIGONOMETRY [For Candidates for the Course in Science] 1 . Name and define the trigonometric... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...A'B'C' is the polar triangle of ABC, then, reciprocally, ABC is the polar triangle of A'B'C'. 735. In two polar triangles each angle of the one is the supplement of the opposite side in the other. 737. The sum of the angles of a spherical triangle is greater than 180° and less than 540°. 741.... | |
 | Yale University - 1898 - 212 pages
...let fall from the vertex of one of the equal angles to the opposite side. 3. The area of a trapczoid is equal to the product of its altitude by half the...the inscribed circle, and the circumscribed circle. SEPTEMBER 1895. SOLID. I Define a polyhedron, a tetrahedron, a prism, a parallelepiped, a pyramid,... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
....-. ABC is the polar triangle of A' B'C'. § 791 374 • THE SPHERE. PROPOSITION XIV. THEOREM. 793. In two polar triangles each angle of the one is the supplement of the opposite side in the other. Let ABC, A'B'C' be two polar triangles. Let the letter at the vertex of each angle denote its value... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...of AB. .-.ABC is the polar triangle of A'B'C'. § 791 374 THE SPHERE. PROPOSITION XIV. THEOREM. 793. In two polar triangles each angle of the one is the supplement of the opposite side in the other. Let ABC, A'B'C' be two polar triangles. Let the letter at the vertex of each angle denote its value... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...and C' the pole of AB. .-.ABC is the polar triangle of A'B'C'. § 791 PROPOSITION XIV. THEOREM. 793. In two polar triangles each angle of the one is the supplement of the opposite side in the other. Let ABC, A'B'C' be two polar triangles. Let the letter at the vertex of each angle denote its value... | |
 | Education - 1902 - 880 pages
...line about an axis in the plane of this line, but not parallel to it, is equal to ... 6 Prove that in two polar triangles each angle of the one is the supplement of the opposite side in the other. NOTE — Use T instead of its approximate value 3.1416. Second 7 Find the locus of points in space... | |
 | Education - 1902 - 780 pages
...line about an axis in the plane of this line, but not parallel to it, is equal to ... 6 Prove that in two polar triangles each angle of the one is the supplement of the opposite side in the other. NOTE — Use re instead of its approximate value 3.1416. Second 7 Find the locus of points in space... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...AB. .-.ABC is the polar triangle of A' B'C'. § 791 374 THE SPHERE. PROPOSITION XIV. THEOREM. 793. In two polar triangles each angle of the one is the supplement of the opposite side in the other. Let ABC, A' B'C' be two polar triangles. Let the letter at the vertex of each angle denote its value... | |
 | Education - 1911 - 946 pages
...[K8.] 4. If A'B'C is the polar triangle of ABC, then, reciprocally, ABC is the polar of A'B'C. [K6.'] > In two polar triangles each angle of the one is the supplement of the opposite side in the other. [K7.] 6. Vertical spherical triangles are symmetrical and equivalent. [08, H6.] 7. Two triangles47... | |
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In two polar triangles each angle of the one is the supplement of the opposite side in the other. Let ABC, A'B'C 
