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" If a right cone with a circular base be cut at right angles to the base by a plane passing through the apex, the section will be a triangle. If the cone be cut through both sides by a plane parallel to the base, the section will be a circle. "
On the Connexion of the Physical Sciences - Page 461
by Mary Somerville - 1849 - 524 pages
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...described by the line EF perpendicular to the axis is equal to either base ; hence, if a cylinder be cut by a plane parallel to the base, the section will be a circle equal to the base2 AC o NE is a volume which may be generated by the revolution of a right-angled triangle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...which these two lines shall be two of the edges. 35. If a pyramid with a polygon for its base be out by a plane parallel to the base, the section will be a polygon similar to the base. 36. If a straight line be at right angles to a plane, the intersection...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pages
...these two lines shall be two of the edges. 35. • If a pyramid with a polygon for its base be cut by a plane parallel to the base, the section will be a polygon similar to the base. 36. If a straight line be at right angles to a plane, the intersection...
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Regents Examination Papers

University of the State of New York. Examination dept - 1895 - 436 pages
...edges of any convex polyedral angle is less than four right angles. 4-5 Prove that if a pyramid is cut by a plane parallel to the base the section will be a polygon similar to the base. 6 State and prove the formula for the volume of a sphere. 7 State and...
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