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" The area of the surface of a sphere is equal to the area of the... "
Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ... - Σελίδα 263
των Eli Todd Tappan - 1864 - 276 σελίδες
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The Modern Preceptor Or a General Course of Education: Containing ..., Τόμος 1

John Dougall - 1810 - 554 σελίδες
...the solidity of the globe must be the product of ifs surface multiplied by one third of the radius. The surface of a sphere is equal to the product of the circumference of a great circle on its being multiplied by the diameter. Let ALD represent a sphere,...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 σελίδες
...revolution, whether m surface or in content, is less than that of the two figures (14.). PROP. 16. The surface of a sphere is equal to the product of the circumference and diameter of the generating circle. For if this product be not equal to the surface...

An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - 1846 - 216 σελίδες
...x4 square J.OU IUU feet = 12£f square feet; and the solidity is 12£t X 2f = 33$£ cubic feet. 3O8. The surface of a sphere is equal to the product of the circumference of a great circle multiplied by the diameter ; and the product of this surface multiplied...

The Excise Officer's Manual: Being a Practical Introduction to the Business ...

Joseph Bateman - 1852 - 376 σελίδες
...sphere ; multiply it by two-thirds of the height ; the product is the content. ways by the surface. The surface of a sphere is equal to the product of the cireumference and diamcter of the generating cirele ; that i.*, to four timcs the area of one of its...

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 592 σελίδες
...containing many individ- anj voiunic generated by revolving a regular semi-polygon about its diameter. The surface of a sphere is equal to the product of...the diameter by the circumference of a great circle ; or it is equivalent to the area of four great circles. Denoting the radius of the sphere by r, and...

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 628 σελίδες
...SURFACE. A subdivision of an order of surface. Surfaces are classed. semi-polygon about i's diameter. The surface of a sphere is equal to the product of the diameter by the circumference like lines, into algebraic and transccmUnlal. 'of a great circle ; or it is equivalent to the The algebraic...

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 532 σελίδες
...semi-cinmmfercnce ABCDEF, and the perpendicular OI will be equal to tho radius OA ; hence, the surface of tho sphere is equal to the product of the diameter by the circumference of a great circle. B 589. Cor. 1. The surface of a sphere //\ is equal to the area of four of its great circles. For the...

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 σελίδες
...semi-circumference ABCDEF, and the perpendicular 0 1 will be equal to the radius 0 A ; hence, the surface of the sphere is equal to the product of the diameter by the circumference of a great circle. 589. Cor. 1. The surface of a sphere is equal to the area of four of its great circles. For the area...

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 σελίδες
...semi-circumference ABCDEF, and the perpendicular 0 I will be equal to the radius 0 A ; hence, the surface of the sphere is equal to the product of the diameter by the circumference of a great circle. 589. Cor. 1. The surface of a sphere is equal to the area of four of its great circles. For the area...

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 σελίδες
...semi-circumference ABCDEF, and the perpendicular 0 I will be equal to the radius 0 A ; hence, the surface of the sphere is equal to the product of the diameter by the circumference of a great circle. 589. Cor. 1. The surface of a sphere is equal to the area of four of its great circles. For the area...




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