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
... representing the positions of an infinite number of points in a straight line , or a plane curve , while equations involving three variables are capable of representing the positions of an infinite number of points in a line or surface ...
... representing the positions of an infinite number of points in a straight line , or a plane curve , while equations involving three variables are capable of representing the positions of an infinite number of points in a line or surface ...
Página xxii
... representing points or lines in space · 170 212. Plane of comparison , and nature of the scales for the pro- jections 170 213. PROP . I. To determine the intersection of a line given in space , with either of the co - ordinate planes ...
... representing points or lines in space · 170 212. Plane of comparison , and nature of the scales for the pro- jections 170 213. PROP . I. To determine the intersection of a line given in space , with either of the co - ordinate planes ...
Página 3
... represented by r and respectively . Admitting that r may be of any length from 0 to ∞ , and that may have any magnitude from 0 to + 360 ° or from 0 to - 360 ° , it is evident that the polar co - ordinates ( r , ◊ ) are capable of ...
... represented by r and respectively . Admitting that r may be of any length from 0 to ∞ , and that may have any magnitude from 0 to + 360 ° or from 0 to - 360 ° , it is evident that the polar co - ordinates ( r , ◊ ) are capable of ...
Página 9
... Representing the coefficient of x , as in equations 3 and 4 , by a , equations 5 and 6 are reduced to the general expression , y = ax + b . If LL ' cuts the axis of y below the origin , the sign of OB , or b , will be negative . Ө - 11 ...
... Representing the coefficient of x , as in equations 3 and 4 , by a , equations 5 and 6 are reduced to the general expression , y = ax + b . If LL ' cuts the axis of y below the origin , the sign of OB , or b , will be negative . Ө - 11 ...
Página 16
... represented by as before , also a and now holding the places of a " and " respectively in the equivalents of tan . ( Art . 16. ) , we obtain from the value of tan . at ( b ) in that Article , α tan . + a'a tan . ø + ( a ' + a ) tan ...
... represented by as before , also a and now holding the places of a " and " respectively in the equivalents of tan . ( Art . 16. ) , we obtain from the value of tan . at ( b ) in that Article , α tan . + a'a tan . ø + ( a ' + a ) tan ...
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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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