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" The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 251
by Benjamin Greenleaf - 1862 - 490 pages
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...cylinder is equal to the great circle, its diameter AB being equal to MN : hence (B. VIII, Prop, iv,) the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter. This measure (B. VIII, Prop, ix,) is the same as that...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...PQ; the base of the cylinder is equal to the great circle, since its diameter AB is equal MN; hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter (Th. ii). This measure is the same as that of the surface...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...PQ; the base of the cylinder is equal to the great circle, since its diameter AB is equal MN ; hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter (Th. ii). This measure is the same as that of the surface...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 340 pages
...SpherePQ; the base of the cylinder is equal to the great circle, since its diameter AB is equal MN; hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter (Th- ii)- This measure is the same as that of the surface...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...the base of the cylinder is equal to the great circle, since its diameter AB is equal to MN ] hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter (p. 1). This measure is the same as that of the surface...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...the base of the cylinder is equal to a. great circle, since its diameter AB is equal to MN; hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter (p. 1). This measure is the same as that of the surface...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...cylinder is equal to the area of its base multiplied by its altitude. (r.) The convex surface of a cylinder is equal to the circumference of its base multiplied by. its altitude. (s.) The solidity of a cone or of a pyramid equals the area of its base multiplied by i of its altitude....
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...a square, the conjugate cylinders are equal solids. The area of the convex or lateral surface of a cylinder is equal to the circumference of its base multiplied by its altitude ; or, denoting the area required by A, the altitude of the cylinder by /i, and the radius of the base...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...cylinder is equal to the area of its base multiplied by its altitude. (r ) The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. (s.) The solidity of a cone or of a pyramid equals the area of its bnse multiplied by j of its altitude....
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...base of the cylinder is equal to the great circle, its diameter AB being equal to MJST : hence (TI), the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter. This measure (T. IX.) is the same as that of the surface...
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