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 Llibres Llibres 1 - 9 de 9 sobre ... impossible. Cor. 3. The centre of a sphere, and the centre of any small circle.... ... impossible. Cor. 3. The centre of a sphere, and the centre of any small circle of that sphere, are in a straight line perpendicular to the plane of the circle. Cor. 4. The square of the radius of any small circle is equal to the square of the radius... The elements of plane and spherical trigonometry. [With] Key - Pàgina 120
per William Rossiter - 1868
Visualització completa - Sobre aquest llibre ELEMENTS OF GEOMETRY UPON THE INDUCTIVE METHOD.

JAMES HAYWARD - 1829
...position and magnitude of the circle which is the intersection of a given sphere and a given plane. By drawing a perpendicular from the centre of the sphere to the cutting plane, and determining the meeting of this line and the proposed plane, we have the centre...
Visualització completa - Sobre aquest llibre A Treatise on the Analytic Geometry of Three Dimensions

George Salmon - 1862 - 465 pàgines
...the values already found (Arts. 330, 332). -~~ is obviously the length of the perpendicular distance from the centre of the sphere to the plane of the circle of curvature. 340. To find the co-ordinates of the centre of the osculating sphere. Let the equation...
Visualització completa - Sobre aquest llibre A Treatise on the Analytic Geometry of Three Dimensions

George Salmon - 1862 - 465 pàgines
...values already found (Arts. 330, 332). •j- is obviously the length of the perpendicular distance from the centre of the sphere to the plane of the circle of curvature. 340. To find the co-ordinates of the centre of the osculating sphere. Let the equation...
Visualització completa - Sobre aquest llibre ELEMENTS OF GEOMETRY AND TRIGONOMETRY

CHARLES DAVIES, LL.D. - 1863
...circle is equal to the square of the radius of the sphere diminished by the square of the distance from the centre of the sphere to the plane of the circle (B. IV., P. XL, C. l) : hence, circles which are equally distant from the centre, are equal ; and of...
Visualització completa - Sobre aquest llibre Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 455 pàgines
...circle is equal to the square of the radius of the sphere diminished by the square of the distance from the centre of the sphere to the plane of the circle (B. IV., P. XI., C. 1) : hence, circles which are equally distant from the centre, are equal; and of...
Visualització completa - Sobre aquest llibre Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

1874 - 455 pàgines
...circle is equal to the square of the radius of the sphere diminished by the square of the distance from the centre of the sphere to the plane of the circle (B. IV., P. XI., C. 1) : hence, circles which are equally distant from the centre, are equal ; and...
Visualització completa - Sobre aquest llibre The national encyclopædia. Libr. ed, Volum 12

National cyclopaedia - 1879
...Great Circle, and one which does not pass through the centre a Small Circle. The centre of a circular section is found by drawing a perpendicular from the centre of the sphere to the plane of the section. All sections whose planes are parallel have their centres on one straight line, namely, the...
Visualització completa - Sobre aquest llibre Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1885 - 512 pàgines
...circle is equal to the square of the radius of the sphere diminished by the square of the distance from the centre of the sphere to the plane of the circle (B. IV., P. XI., C. 1): hence, circles which are equally distant from the centre, are equal ; and of...
Visualització completa - Sobre aquest llibre Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - 1901 - 440 pàgines
...sphere. 586. COROLLARY II. The centre of any rirde of a sphere is the foot of the perpendicular drawn from the centre of the sphere to the plane of the circle. 587. COROLLARY III. The centres of all great circles coincide with the centre of the sphere, and all...
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