Analytical Geometry: With the Properties of Conic Sections, and an Appendix, Constituting a Tract on Descriptive GeometryLongman, Brown, Green and Longmans, 1846 - 202 páginas |
Dentro del libro
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Página vii
... joining two given points makes with the axis of x 7. Expression of the distance between two points , in terms of the oblique co - ordinates of these points 8. Expression of the distance between two points , in terms of the polar co ...
... joining two given points makes with the axis of x 7. Expression of the distance between two points , in terms of the oblique co - ordinates of these points 8. Expression of the distance between two points , in terms of the polar co ...
Página x
... joining the opposite extremities of equal ordinates is a diameter of the curve · · b . Equation for the circle in terms of the radius 57. PROP . II . To find the equations for an hyperbola in terms of any two semi - conjugate diameters ...
... joining the opposite extremities of equal ordinates is a diameter of the curve · · b . Equation for the circle in terms of the radius 57. PROP . II . To find the equations for an hyperbola in terms of any two semi - conjugate diameters ...
Página xii
... joining the other extremities of the chord and the first diameter , will be parallel to a diameter which is conjugate to that other diameter a . DEF . 14. Supplemental chords 82. PROP . XIV . To determine , in terms of rectangular co ...
... joining the other extremities of the chord and the first diameter , will be parallel to a diameter which is conjugate to that other diameter a . DEF . 14. Supplemental chords 82. PROP . XIV . To determine , in terms of rectangular co ...
Página 5
... joining the points P ' , P " , makes with the axis xx ' may be expressed in terms of ( x ' , y ' ) , ( x " , y " ) , the co - ordinates of P ' , P ' . For , since P'c is parallel to x'x , the angle P'P'C is equal to the angle which P'p ...
... joining the points P ' , P " , makes with the axis xx ' may be expressed in terms of ( x ' , y ' ) , ( x " , y " ) , the co - ordinates of P ' , P ' . For , since P'c is parallel to x'x , the angle P'P'C is equal to the angle which P'p ...
Página 48
... joining the opposite extremities of two equal ordinates , passes through o ( where x = 0 , and y = 0 ) , and is a diameter of the curve . The above equations hold good , whatever be the two con- jugate diameters ; and , if the ...
... joining the opposite extremities of two equal ordinates , passes through o ( where x = 0 , and y = 0 ) , and is a diameter of the curve . The above equations hold good , whatever be the two con- jugate diameters ; and , if the ...
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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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