1. Mathematical Tables1916 - Engineering - 186 pages |
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Page 87
... Complex Quantities 124 FUNCTIONS TRIGONOMETRY Formal Trigonometry ... 128 Solution of Plane Triangles .. 132 Solution of Spherical Triangles .. 134 Equations Involving Two Variables Equations for Empirical Curves . Logarithmic Cross ...
... Complex Quantities 124 FUNCTIONS TRIGONOMETRY Formal Trigonometry ... 128 Solution of Plane Triangles .. 132 Solution of Spherical Triangles .. 134 Equations Involving Two Variables Equations for Empirical Curves . Logarithmic Cross ...
Page 97
... complex problems involving fractional powers or roots , hyperbolic logarithms , etc. A number of circular slide rules are on the market , the best of which are operated by a milled thumbnut , like the stem wind of a watch . The ...
... complex problems involving fractional powers or roots , hyperbolic logarithms , etc. A number of circular slide rules are on the market , the best of which are operated by a milled thumbnut , like the stem wind of a watch . The ...
Page 123
... where Di = P2b2c2 , D2 a2p2c2 , D3 = a2b2p2 2 = D3 / D , p3b3c3 aзp3c3 | a3b3p3 | Similarly for a larger ( or smaller ) number of equations . THE ALGEBRA OF IMAGINARY OR COMPLEX QUANTITIES In the algebra DETERMINANTS 123.
... where Di = P2b2c2 , D2 a2p2c2 , D3 = a2b2p2 2 = D3 / D , p3b3c3 aзp3c3 | a3b3p3 | Similarly for a larger ( or smaller ) number of equations . THE ALGEBRA OF IMAGINARY OR COMPLEX QUANTITIES In the algebra DETERMINANTS 123.
Page 124
... complex quantities , the objects on which the operations of the algebra are performed are not numbers in any ... complex plane " is de- termined by three fundamental points , O , U , i , arranged as in Fig . 2 and called the zero point ...
... complex quantities , the objects on which the operations of the algebra are performed are not numbers in any ... complex plane " is de- termined by three fundamental points , O , U , i , arranged as in Fig . 2 and called the zero point ...
Page 125
... complex quantities . In particular , the point U has all the formal properties of the number unity , and is denoted by 1 . [ Note : If A and B are real , AB and A / B will also be real . ] Repeated Multiplication . point A XA XA X ...
... complex quantities . In particular , the point U has all the formal properties of the number unity , and is denoted by 1 . [ Note : If A and B are real , AB and A / B will also be real . ] Repeated Multiplication . point A XA XA X ...
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Common terms and phrases
9 Avg angle asymptotes axes axis binomial coefficients bisects body of table chord coefficients COMMON LOGARITHMS computation correct to four corresponding cosh Cosines Cotangents CUBE ROOTS CUBE ROOTS continued curvature curve cx² decimal point denoted diam diameter diff differential distance divide draw ellipse equal equivalent to moving Explanation of Table formula four figures fraction gram hyperbolic kilogram length logarithms loge machine meters Method moving it THREE Moving the decimal multiplication nth root parabola parallel perpendicular place in body plane plot point ONE place quantities radian radical axis radius requires moving scale segment Simultaneous Equations Sines sinh slide rule Solution specific gravity spherical SQUARE ROOTS straight line subtracting table gives tangent tanh triangle TRIGONOMETRIC FUNCTIONS unit variable vector VN N VN Volume x-axis y₁ zero