...dihedral angles made by the planes of the sides. Each angle is *also measured by the number of degrees in the arc of a great circle, described from the vertex of the angle as a pole, and included between the sides of the angle. The sides may have any value from 0° to 360°; but in this...

...dihedral angles made by the planes of the sides. Each angle is also measured by the number of degrees in the arc of a great circle, described from the vertex of the angle as a pole, and included between the sides of the angle. The sides may have any value from 0° to 360° ; but in this...

..._L the line of centers, and whose center is in the line of centers. QED PROPOSITION IX. THEOREM 770. A spherical angle is measured by the arc of a great...described from the vertex of the angle as a pole, and included between its sides, produced, if necessary. Given /.BAC a spherical angle formed by the intersection...

...base of a cone is a circle, every section parallel to the base is a circle. 6 Prove that a spheric angle is measured by the arc of a great circle described from its vertex as a pole, and included between its sides produced if necessary. NOTE — Use w Instead...

...points. [H3.] 8. A sphere may be inscribed in or circumscribed about any given tetrahedron. [H5.] p. A spherical angle is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). [K5.] V. Spherical Triangles...

...degrees of arc, the former may be called angular degrees; and the latter arcual degrees.] c. Proposition. A spherical angle is measured by the arc of a great circle described with its vertex as a pole and included between its boundary arcs, produced if necessary : Let ABC and...

...to plane A3 (?) (501). .•. PO is the axis of O ARNB (702). ... P is the pole of QARNB (702). QED . THEOREM. A spherical angle is measured by the arc of a great circle having the vertex of the angle as a pole and intercepted by the sides of the angle. Given: Spherical...

...degrees of arc, the former may be called angular degrees; and the latter arcual degrees.] c. Proposition. A spherical angle is measured by the arc of a great circle described with its vertex as a pole and included between its boundary arcs, produced if necessary : Let ABC and...

...of are, the former may be called angular degrees; and the latter areual degrees.'] c. Proposition. A spherical angle is measured by the arc of 'a great circle described with its vertex as a pole and included between its boundary arcs, produced if necessary : Let ABC and...

...area of a prism and of a regular pyramid. State the corresponding theorems for cylinders and cones. 3. A spherical angle is measured by the arc of a great circle described with Its vertex as a pole and included between its sides, produced if necessary. 4. Given two points...