Plane and solid geometry . Given AMBN a section of sphere 0 made by a prove section AMBN a O. Argument1 From 0 draw OQ ± section AMBN, 2. Join Q to C and Z), any two points on the perim eter of section AMBN, DrawOC and OD. 3. In rt. A OQG and OQD, OQ = OQ. 4. 00 = OD. 5. .-. A OQC = A OQD. 6. .*. QC = QD] any two points on the perimeter of section AMBN are equi-distant from Q. 7. .*. section AMBN is a O. 904. Def. A great circle of asphere is a section made by a planewhich passes through the center ofthe sphere, as G CRDS. 905. Def. A smaU circle of asphere is a section ma
Plane and solid geometry . Given AMBN a section of sphere 0 made by a prove section AMBN a O. Argument1 From 0 draw OQ ± section AMBN, 2. Join Q to C and Z), any two points on the perim eter of section AMBN, DrawOC and OD. 3. In rt. A OQG and OQD, OQ = OQ. 4. 00 = OD. 5. .-. A OQC = A OQD. 6. .*. QC = QD] any two points on the perimeter of section AMBN are equi-distant from Q. 7. .*. section AMBN is a O. 904. Def. A great circle of asphere is a section made by a planewhich passes through the center ofthe sphere, as G CRDS. 905. Def. A smaU circle of asphere is a section made by a pLanewhicli does not ])ass through thecenter of the spliere, as Q AMBN. 6. rri . Reasons § 639.§ 54, 15. By iden.§ 902, a.§ 211.§ 110- § BOOK IX 419 906. Def. The axis of a circle of a sphere is the diameter ofthe sphere which is perpendicular to the plane of the circle. 907. Def. The poles of a circle of a sphere are the extremi-ties of the axis of the circle. Ex. 1472. CoDsidering the earth as a sphere, what kind of circlesare the parallels of latitude ? the equator ? the meridian circles ? Whatis the axis of the equator ? of the parallels of latitude ? What are thepoles of the equator ? of the parallels of latitude ? Ex 1473. The radius of a sphere is 17 inches. Find the area of asection made by a plane 8 inches from the center. Ex. 1474. The area of a section of a sphere 45 centimeters from thecenter is 784 tt square centimeters. Find the radius of the sphere. Ex. 1475. The area of a section of a sphere 7 inches from the centeris 576 TT. Find the area of a section 8 inches from the center. 908. The following are some of the properties of a sphere;the student should prove the correctness of each: (a) In equal sphere
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
