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
Resultados 1-5 de 28
Página vii
... constants in the equation y = ax + b 12. Methods of tracing a straight line from its equation 13. The locus of the equation Ax + By + c = 0 is a straight line 14. Equation of a straight line which passes through a given point , and ...
... constants in the equation y = ax + b 12. Methods of tracing a straight line from its equation 13. The locus of the equation Ax + By + c = 0 is a straight line 14. Equation of a straight line which passes through a given point , and ...
Página xii
... constant · - - · 87. PROP . XVI . In an ellipse , or an hyperbola , the rectangle contained by two lines drawn from the foci , to meet at any point in the curve , is equivalent to the square of the semi- Art . diameter , which is ...
... constant · - - · 87. PROP . XVI . In an ellipse , or an hyperbola , the rectangle contained by two lines drawn from the foci , to meet at any point in the curve , is equivalent to the square of the semi- Art . diameter , which is ...
Página 7
... constant relation between the ordinate and abscissa of a line , is termed the Equation of that line . Conversely , the line is termed the Locus of the equation . Let LL ' be a straight line ; and first , let LL ' pass through o , the ...
... constant relation between the ordinate and abscissa of a line , is termed the Equation of that line . Conversely , the line is termed the Locus of the equation . Let LL ' be a straight line ; and first , let LL ' pass through o , the ...
Página 9
... constant and b variable , y = a x + b is the equation of all straight lines parallel to that straight line which passes through the origin , and makes an angle with the axis of x . α If b is constant and a variable , y = ax + b is the ...
... constant and b variable , y = a x + b is the equation of all straight lines parallel to that straight line which passes through the origin , and makes an angle with the axis of x . α If b is constant and a variable , y = ax + b is the ...
Página 10
... constant for every point in the same straight line , but different for different straight lines which are referred to the same axes : that the value of a is the same , but that of b different , for all straight lines which make the same ...
... constant for every point in the same straight line , but different for different straight lines which are referred to the same axes : that the value of a is the same , but that of b different , for all straight lines which make the same ...
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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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