Analytical Geometry: With the Properties of Conic Sections, and an Appendix, Constituting a Tract on Descriptive GeometryLongman, Brown, Green and Longmans, 1846 - 202 páginas |
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Página v
... plane figures bounded by straight lines or circles , and of solids bounded by planes , or by surfaces produced by the revolutions of straight lines or circles , have , in a part of the course already published for this Institution ...
... plane figures bounded by straight lines or circles , and of solids bounded by planes , or by surfaces produced by the revolutions of straight lines or circles , have , in a part of the course already published for this Institution ...
Página vi
... planes in space , with expressions for the inclinations of lines and planes to one another : the relations between plane figures and their orthogonal projections are determined , and formulæ for the transformation of co - ordinates in ...
... planes in space , with expressions for the inclinations of lines and planes to one another : the relations between plane figures and their orthogonal projections are determined , and formulæ for the transformation of co - ordinates in ...
Página xviii
... planes make with the line in which those planes intersect one another · 121 122 123 123 124 · 124 125 125 126 - 127 152. PROP . VIII . To find the equation for a plane , in space , in terms of rectangular co - ordinates Art . 153. COR ...
... planes make with the line in which those planes intersect one another · 121 122 123 123 124 · 124 125 125 126 - 127 152. PROP . VIII . To find the equation for a plane , in space , in terms of rectangular co - ordinates Art . 153. COR ...
Página xix
... plane in space may intersect three rectangular co - ordinate planes - - a . If two planes in space are parallel to ... plane parallel to the intersection of the plane with a co - ordinate plane , its projection on the latter plane will ...
... plane in space may intersect three rectangular co - ordinate planes - - a . If two planes in space are parallel to ... plane parallel to the intersection of the plane with a co - ordinate plane , its projection on the latter plane will ...
Página xx
... PLANES . 167. PROP . I. If any plane figure be orthogonally projected upon a plane surface which is inclined to that of the figure in any angle , the area of the projected figure will be equiva- lent to the product of the original ...
... PLANES . 167. PROP . I. If any plane figure be orthogonally projected upon a plane surface which is inclined to that of the figure in any angle , the area of the projected figure will be equiva- lent to the product of the original ...
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Otras ediciones - Ver todas
Analytical Geometry: With the Properties of Conic Sections, and an Appendix ... John Narrien Sin vista previa disponible - 2023 |
Analytical Geometry: With the Properties of Conic Sections, and an Appendix ... John Narrien Sin vista previa disponible - 2018 |
Términos y frases comunes
asymptotes bisected centre chord co-ordinate axes co-ordinate planes coefficients cone conjugate axes conjugate diameters conjugate hyperbola consequently cos.² curve line curve surface directrix distance double ordinate draw drawn parallel ellipse or hyperbola equation becomes equivalent excentricity figure find the equation foci focus given line given point imagine let OA let the co-ordinates line be drawn line drawn meet nates oblique origin parabola parallelepiped parameter perpen perpendicular to ox plane in space plane XOY plane zox point of contact produced projected lines projections on zox PROPOSITION rectangle represented respectively right angles Scholium second member semi-conjugate semi-transverse axis square straight line substituting tangent be drawn transverse axis triangles Trigon values whence zero
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