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
... quantities being capable of 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 ...
... quantities being capable of 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 ...
Página viii
... quantities in the preceding formulæ of this Chapter . Particular example of transform- ation of co - ordinates 26. General formulæ for the transformation of rectilinear to polar co - ordinates - 27. Particular cases ( I. to VII ...
... quantities in the preceding formulæ of this Chapter . Particular example of transform- ation of co - ordinates 26. General formulæ for the transformation of rectilinear to polar co - ordinates - 27. Particular cases ( I. to VII ...
Página 1
... quantities ; indeterminate , to their figure . In analytical geometry of two dimensions , the points of a line or of the contour of a figure are usually referred to two given straight lines , as x'ox , Yor ' , which inter- X sect in a ...
... quantities ; indeterminate , to their figure . In analytical geometry of two dimensions , the points of a line or of the contour of a figure are usually referred to two given straight lines , as x'ox , Yor ' , which inter- X sect in a ...
Página 2
... quantities , or by the letters x and y , accented ( as x ' , y ' ; x ' , y " ) in such a manner as to be distinguishable from x and y when repre- senting unknown or variable co - ordinates . The symbol ( x , y ) is employed to denote ...
... quantities , or by the letters x and y , accented ( as x ' , y ' ; x ' , y " ) in such a manner as to be distinguishable from x and y when repre- senting unknown or variable co - ordinates . The symbol ( x , y ) is employed to denote ...
Página 3
... quantities , are 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 ...
... quantities , are 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 ...
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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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