 | Trinity College (Hartford, Conn.) - 1888 - 978 σελίδες
...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 - 1896 - 68 σελίδες
...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.... | |
 | 1898 - 228 σελίδες
...let fall from the vertex of one of the equal angles to the opposite side. 3. The area of a trapezoid is equal to the product of its altitude by half the...the inscribed circle, and the circumscribed circle. SETFEMHEK 1895. SOLID. 1 Define a polyhedron, a tetrahedron, a prism, a parallelopiped, a pyramid,... | |
 | George Albert Wentworth - 1899 - 246 σελίδες
...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 - 1899 - 498 σελίδες
....-. 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 - 1902 - 248 σελίδες
...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... | |
 | 1902 - 780 σελίδες
...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... | |
 | 1902 - 880 σελίδες
...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... | |
 | George Albert Wentworth - 1904 - 496 σελίδες
...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... | |
 | 1911 - 946 σελίδες
...[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 
