Plane and solid geometry . Given spherical polygon ABC ••• with n sides. To prove AB -\-BC -^ ... < 360°Hint. See §§ 712 and 940, a. 432 SOLID GEOMETRY Ex. 1513. In spherical triangle ABC, arc AB — 40^ and arc BC =80°. Between what limits must arc CA lie ? Ex. 1514. Any side of a spherical polygon is less than the sum of theremaining sides. Ex. 1515. If arc AB is the perpendicular bisector of arc (72), everypoint on the surface of tbe sphere and not in arc AB is unequally distantfrom C and D. Ex. 1516. In a spherical quadrilateral, between what limits must thefourth side lie if three sides
Plane and solid geometry . Given spherical polygon ABC ••• with n sides. To prove AB -\-BC -^ ... < 360°Hint. See §§ 712 and 940, a. 432 SOLID GEOMETRY Ex. 1513. In spherical triangle ABC, arc AB — 40^ and arc BC =80°. Between what limits must arc CA lie ? Ex. 1514. Any side of a spherical polygon is less than the sum of theremaining sides. Ex. 1515. If arc AB is the perpendicular bisector of arc (72), everypoint on the surface of tbe sphere and not in arc AB is unequally distantfrom C and D. Ex. 1516. In a spherical quadrilateral, between what limits must thefourth side lie if three sides are 60^, 70^, and 80^? if three sides are 40°,50°, and 70° ? Ex. 1517. Any side of a spherical polygon is less than 180^.Hint. See Ex. 1514. 943. If. with A, B, and C the vertices of any spherical tri-angle as poles, three great circles are constructed, as BCED,
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