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Mathematical Dictionary and Cyclopedia of Mathematical Science, Comprising Definitions of All the Terms Employed in Mathematics--An Analysis of Each Branch, and of the Whole, as Forming a Single Science

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from ...Show synopsisThis historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1855 Excerpt: ...second generation. Through any point of the surface it is always possible to draw two straight lines, which will lie wholly in the surface, vii.: the elements of the first and seeond generation. The plane of these lines is tangent to the surface at their point of intersection. Hence, to pass a plane tangent to the surface of an hyperboloid of one nappe at any point, we find the elements of the first and second generation through the point, and pass a plane tangent through them; it will be the tangent plane required. Any plane parallel to the tangent plane intersects the surface in an hyperbola whose asymptotes are parallel to the elements of the surface lying in the tangent plane. All other sections are ellipses. If the three directrices of either generation are symmetrically disposed with respect to a fourth line, the surface is an hyperbvlaid of revolution of one nappe, the fourth line being the axis of revolution. Every plane through the axis cuts an hyperbola, which, being revolved about the axis, will generate the surface. Every ordinate to the axis, during the revolution, generates a circle; the shortest ordinate generates the smallest circle, called the circle of the aorgc. The hyperboloid of revolution may also be generated by either one of two straight lines intersecting each other and revolving about an axis parallel to their plane. In this ease the perpendicular drawn from their point of intersection to the axis, generates the circle of the gorge. The axis must be so taken that this line shall also be perpendicular to the plane of the lines. The hypeiboloid of two nappes consists of two branches or nappes, each extending to au infinite distance. If a plane be passed tangent to the surface at any point, it will have no other point in common with t...Hide synopsis

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - An Analysis of Each – Trade paperback
(2014)
by Charles Davies, William Guy Peck (Creator)

Mathematical Dictionary and Cyclopedia of Mathematical Science, Comprising Definitions of All the Terms Employed in Mathematics--An Analysis of Each Branch, and of the Whole, as Forming a Single Science – Trade paperback
(2013)
by Charles Davies

Mathematical Dictionary and Cyclopedia of Mathematical Science Comprising Definitions of All the Terms Employed in Mathematics -; An Analysis of Each – Trade paperback
(2012)
by Charles Davies

Mathematical Dictionary and Cyclopedia of Mathematical Science; Comprising Definitions of All the Terms Employed in Mathematics - An Analysis of Each Branch, and of the Whole, as Forming a Single Science – Trade paperback
(2012)
by Charles Davies

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - An Analysis of Each Branch, and of the Whole, as Forming a Single Science – Trade paperback
(2012)
by Charles Davies

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - An Analysis of Each Branch, and of the Whole, as Forming a Single Science – Trade paperback
(2011)
by Charles Davies, William Guy Peck (Creator)

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - An Analysis of Each Branch, and of the Whole, as Forming a Single Science... – Trade paperback
(2011)
by Charles Davies, William Guy Peck (Creator)

Mathematical Dictionary and Cyclopedia of Mathematical Science, Comprising Definitions of All the Terms Employed in Mathematics--An Analysis of Each Branch, and of the Whole, as Forming a Single Science – Trade paperback
(2010)
by Charles Davies

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - An Analysis of Each Branch, and of the Whole, as Forming a Single Science – Trade paperback
(2010)
by Charles Davies, William Guy Peck

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - An Analysis of Each Branch and of the Whole, as Forming a Single Science – Trade paperback
(2010)
by Charles Davies, William Guy Peck

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science, Comprising Definitions of All the Terms Employed in Mathematics--an Analysis of Each Branch, and of the Whole, as Forming a Single Science Author:Charles Davies ISBN-13:9781172264148 ISBN:1172264147

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics-an Analysis of Each Branch and of the Whole, as Forming a Single Science Author:Charles Davies ISBN-13:9781143959165 ISBN:1143959167

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics-an Analysis of Each Branch, and of the Whole, as Forming a Single Science Author:Charles Davies ISBN-13:9781147408010 ISBN:1147408017

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics-an Analysis of Each Branch, and of the Whole, as Forming a Single Science... Author:Charles Davies ISBN-13:9781271134830 ISBN:1271134837

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics-an Analysis of Each Branch, and of the Whole, as Forming a Single Science Author:Charles Davies ISBN-13:9781248059296 ISBN:1248059298

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics-an Analysis of Each Branch, and of the Whole, as Forming a Single Science Author:Charles Davies ISBN-13:9781143577864 ISBN:1143577868

Description:592pp. Copyright date 1855. Davies worked w/Legendre's Geometry ...592pp. Copyright date 1855. Davies worked w/Legendre's Geometry & authored another work on Mathematical Science. Peck taught at West Point. Fairly scarce. Modestly ex-lib., new label & bkstrp. Corners abraded. Text very free from foxing.

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science, Comprising Definitions of All the Terms Employed in Mathematics--An Analysis of Each Branch, and of the Whole, as Forming a Single Science Author:Charles Davies ISBN-13:9781313259170 ISBN:1313259179

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science, Comprising Definitions of All the Terms Employed in Mathematics--An Analysis of Each Branch, and of the Whole, as Forming a Single Science Author:Charles Davies ISBN-13:9781313259170 ISBN:1313259179

Title: Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - An Analysis of Each Branch, and of the Whole, as Forming a Single Science Author:Charles Davies ISBN-13:9781248618004 ISBN:1248618009

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