Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 4

Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 4

Published $\text {1968}$

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$4 \quad$ Geometric Formulas

Rectangle of Length $b$ and Width $a$

$4.1$: Area of Rectangle

$4.2$: Perimeter of Rectangle

Parallelogram of Altitude $h$ and Base $b$

$4.3$: Area of Parallelogram

$4.4$: Perimeter of Parallelogram

Triangle of Altitude $h$ and Base $b$

$4.5$: Area of Triangle in Terms of Side and Altitude

$4.5$: Area of Triangle in Terms of Two Sides and Angle

$4.5$: Heron's Formula

$4.5$: Definition:Semiperimeter

$4.6$: Perimeter of Triangle

Trapezoid of Altitude $h$ and Parallel Sides $a$ and $b$

$4.7$: Area of Trapezoid

$4.8$: Perimeter of Trapezoid

Regular Polygon of $n$ Sides each of Length $b$

$4.9$: Area of Regular Polygon

$4.10$: Perimeter of Regular Polygon

Circle of Radius $r$

$4.11$: Area of Circle

$4.12$: Perimeter of Circle

Sector of Circle of Radius $r$

$4.13$: Area of Sector

$4.14$: Arc Length of Sector

Radius of Circle inscribed in a Triangle of Sides $a$, $b$, $c$

$4.15$: Length of Inradius of Triangle

Radius of Circle circumscribing a Triangle of Sides $a$, $b$, $c$

$4.16$: Length of Circumradius of Triangle

Regular Polygon of $n$ Sides inscribed in Circle of Radius $r$

$4.17$: Area of Regular Polygon by Circumradius

$4.18$: Perimeter of Regular Polygon by Circumradius

Regular Polygon of $n$ Sides circumscribing a Circle of Radius $r$

$4.19$: Area of Regular Polygon by Inradius

$4.20$: Perimeter of Regular Polygon by Inradius

Segment of Circle of Radius $r$

$4.21$: Area of Segment of Circle

Ellipse of Semi-Major Axis $a$ and Semi-Minor Axis $b$

$4.22$: Area of Ellipse

$4.23$: Perimeter of Ellipse

Segment of Parabola

$4.24$: Quadrature of Parabola

$4.25$: Arc Length of Parabola

Rectangular Parallelepiped of Length $a$, Height $l$, Width $c$

$4.26$: Volume of Rectangular Parallelepiped

$4.27$: Surface Area of Rectangular Parallelepiped

Parallelepiped of Cross-Sectional Area $A$ and Height $h$

$4.28$: Volume of Parallelepiped

Sphere of Radius $r$

$4.29$: Volume of Sphere

$4.30$: Surface Area of Sphere

Right Circular Cylinder of Radius $r$ and Height $h$

$4.31$: Volume of Right Circular Cylinder

$4.32$: Surface Area of Right Circular Cylinder

Circular Cylinder of Radius $r$ and Slant Height $l$

$4.33$: Volume of Oblique Circular Cylinder

$4.34$: Surface Area of Oblique Circular Cylinder

Cylinder of Cross-Sectional Area $A$ and Slant Height $l$

$4.35$: Volume of Cylinder

$4.36$: Surface Area of Cylinder

Right Circular Cone of Radius $r$ and Height $h$

$4.37$: Volume of Right Circular Cone

$4.38$: Surface Area of Right Circular Cone

Pyramid of Base Area $A$ and Height $h$

$4.39$: Volume of Pyramid

Spherical Cap of Radius $r$ and Height $h$

$4.40$: Volume of Spherical Cap

$4.41$: Surface Area of Spherical Cap

Frustum of Right Circular Cone of Radii $a$, $b$ and Height $h$

$4.42$: Volume of Frustrum

$4.43$: Surface Area of Frustum

Spherical Triangle of Angles $A$, $B$, $C$ on Sphere of Radius $r$

$4.44$: Area of Spherical Triangle

Torus of Inner Radius $a$ and Outer Radius $b$

$4.45$: Volume of Torus

$4.46$: Surface Area of Torus

Ellipsoid of Semi-Axes $a$, $b$, $c$

$4.47$: Volume of Ellipsoid

Paraboloid of Revolution

$4.48$: Volume of Paraboloid of Revolution

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