Books Books
THEOREM. Every section of a sphere, made by a plane, is a circle.
Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ... - Page 196
by James Bates Thomson - 1844 - 237 pages

## The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...on which the student should draw the diagrams of spherical surfaces. Proposition 1 . Theorem. 664. Every section of a sphere made by a plane is a circle. Hyp. Let ACB be a plane section of the sphere whose centre is 0. To prove that ACB is a Q. Proof. Draw...

## A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 466 pages
...each other when their surfaces have one, and only one,- point in common. PROPOSITION I. THEOREM. 685. Every section of a sphere made by a plane is a circle. Let 0 be the centre of a sphere, and ABD any section made by a plane. To prove that, the section ABD is...

## The Elements of Solid Geometry

William C. Bartol - Geometry, Solid - 1893 - 112 pages
...tangent to the sphere. The polyedrou is then circumscribed about the sphere. PROPOSITION XXVI. 173. THEOREM. Every section of a sphere made by a plane is a circle. The section through the centre is a circle (166). Let ABC be any section not through the centre 0;...

## Elementary Geometry

William Chauvenet - 1893 - 340 pages
...a circular cone passes through the centres of all the sections parallel to the base. PROPOSITION V. Every section of a sphere made by a plane is a circle. Corollary T. The axis of a circle on a sphere passes through the centre of the circle. Corol/nry II....

## Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...only one point, as О and S, Fig. 3. 624. The point at which the line, FIG. 3. PROPOSITION IX. 625. Theorem. Every section of a sphere made by a plane is a circle. Let the plane MN intersect the sphere 0 in the section AS B. To prove that the section ASB is a circle....

## Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...product of its slant height by the sum of the perimeters of its bases. PROPOSITION IX. PROPOSITION X. Every section of a sphere made by a plane is a circle. PROPOSITION XI. Two intersecting great circles of a sphere bisect each other. PROPOSITION XII. Three...

## The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 pages
...this case the sphere is said to be circumscribed about the polyedron. PROPOSITION V. THEOREM. 581. A section of a sphere made by a plane is a circle. Let ABC be a section of tie sphere APC made by a plane. To prove ABC a circle. Let O be the centre of the...

## Report of the Superintendent of Public Instruction

Michigan. Department of Public Instruction - Education - 1895 - 686 pages
...Can there be a spherical triangle whose sides are 78°, 113° and 31° ? Explain. 3. Demonstrate— Every section of a sphere made by a plane is a circle. 4. Demonstrate — The diagonals of a paral lelopiped bisect each other. 5. Demonetate — The angle...