Practical Algebra (revised) Prepared for the Use of the Midshipmen at the United States Naval Academy |
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Practical Algebra (Revised) Prepared for the Use of the Midshipmen at the ... Stimson Joseph Brown,Paul Capron No preview available - 2016 |
Practical Algebra (Revised): Prepared for the Use of the Midshipmen at the ... Stimson J. Brown No preview available - 2016 |
Common terms and phrases
abscissa angle asymptotes Binomial Theorem called chance of success chord circle computation conjugate constant convergent coordinates corresponding cubic function curve D₂ decimal places degree diameter difference distance divergent series divided draw ellipse equa Examples expression factors figure Find the equation Find the value function geometric progression give given number given point graph hence hyperbola identity imaginary infinite infinity integers intersections limiting tangent linear loga logarithm loge mantissa multiplying negative number number of terms parabola parallel partial fractions permutations perpendicular polynomial power-series proper fraction quadratic quadratic equation quotient real numbers real root region of convergence represented result rithms root of f(x)=0 simplified slope solution solve square root straight line surds synthetic division T₁ Theorem tion trace triangle undetermined coefficients value of f(x variable vertical vertical limiting x-axis y-axis y-intercept y=mx+b Y₁
Popular passages
Page 16 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 16 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 19 - Let N be a number whose integral part contains n digits ; then ff—. lQ(>ll)-hl lection . . ' . log N— (n - 1 ) + a fraction. Hence the characteristic is n — 1 ; that is, the characteristic of the logarithm of a number greater than unity is less by one than the number of digits in its integral part, and i& positive.
Page 20 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing — 10 after the result.
Page 90 - ... therefore 1 being the trigonometrical tangent of the angle made by the line with the axis of a;, this angle must be 45°, and the ordinate at the origin is 2.
Page 4 - In practice, the quotient of two complex numbers is usually found by multiplying both numerator and denominator by the conjugate of the denominator: o + ib _ a + ib c — id _ ac + bd be — ad . , . , n ^Md " F+ld
Page 56 - ... number of combinations of n things r at a time is the same as the number of combinations of n things n — r at a time ; This result is frequently useful in enabling us to abridge arithmetical work.
Page 23 - The cologarithm of a number is found by subtracting each figure of the logarithm from 9, except the last figure, which is subtracted from 10; then append — 10.
Page 53 - The various orders in which a number of things can be arranged are called their permutations. Thus...
Page 110 - ... in a few cases, to be hereafter pointed out, where oblique axes may be more advantageously employed. PROBLEM I. (8.) To find the equation of a straight line passing through a given point. Let us denote the coordinates of the given point by x...