Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 10
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Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 10
Published $\text {1968}$
$10 \quad$ Formulas from Plane Analytic Geometry
Distance $d$ between Two Points $\map {P_1} {x_1, y_1}$ and $\map {P_2} {x_2, y_2}$
Slope $m$ of Line Joining Two Points $\map {P_1} {x_1, y_1}$ and $\map {P_2} {x_2, y_2}$
Equation of Line Joining Two Points $\map {P_1} {x_1, y_1}$ and $\map {P_2} {x_2, y_2}$
Equation of Line in terms of $x$ Intercept $a \ne 0$ and $y$ Intercept $b \ne 0$
Normal Form for Equation of Line
General Equation of Line
Distance from Point $\tuple {x_1, y_1}$ to Line $A x + B y + C = 0$
Angle $\psi$ between Two Lines having Slopes $m_1$ and $m_2$
Area of Triangle with Vertices at $\tuple {x_1, y_1}$, $\tuple {x_2, y_2}$, $\tuple {x_3, y_3}$
Transformation of Coordinates involving Pure Translation
Transformation of Coordinates involving Pure Rotation
Transformation of Coordinates involving Translation and Rotation
Polar Coordinates $\tuple {r, \theta}$
Equation of Circle of Radius $R$, Center are $\tuple {x_0, y_0}$
Equation of Circle of Radius $R$ Passing through Origin
Conics [Ellipse, Parabola or Hyperbola]
- Definition:Focus-Directrix Property of Conic Section
- Definition:Conic Section: Intersection with Cone
Ellipse with Center $\map C {x_0, y_0}$ and Major Axis Parallel to $x$ Axis
Parabola with Axis Parallel to $x$ Axis
Hyperbola with Center $\map C {x_0, y_0}$ and Major Axis Parallel to $x$ Axis
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