Mathematics for Electrical Students

Cover Mathematics for Electrical Students
Mathematics for Electrical Students
Harry M Harry Morton Keal
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B = base, h = height.
7. Trapezoid A = %h(b+b') . /i = height. B and b' are the parallel sides.
8. Triangle A = \bh. 6 = base, h = height.
9. Triangle A = Vs(s — a)(s— b)(s— c).
a, b and c are the sides, s = %(a+b+c).
10. Hexagon A = 2. 598s 2 . S = side.
11. Circle A=rr 2 . R = radius.
12. Ellipse A=ir—T— . D\ and rf2 = long and short diam- eters.
13. Surface of sphere A =4tt2. R = radius. Volumes: 14. Cube V = a 3 . A = edge.
15. Rectangular solid V = lwh, I, w, and h are the dimen- sions.
21
...3 214 FORMULAS 16. Rectangular solid, Parallelopiped, Prism or Cylinder. V = bh, 6 = area of the base, ft = height.
17. Cone or Pyramid V = \bh, b = area of base, ft = height.
18. Frustum of a Cone or Pyramid.
y = xj l ( -\-b' + Vbb'), 6 and b' are the areas of the bases and ft = height.
19. Sphere F = ^rr\ r = radius.
20. Spherical segment V= \ira [ r 2 + — I .
a = altitude, r = radius of the base. Right Triangle: 21. C 2 = a 2 -\-lr. C = hypotenuse, a and b the sides. Q uadratic Equation : -b±\ / b 2 +4ac 22 - X = 2aT -' Trigonometry :

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