Constructive Text-book of Practical Mathematics, Volume 2J. Wiley & Sons, 1913 - Mathematics |
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Page xv
... Root . Section 3. Cube Root . Section 4. Other Roots .. CHAPTER XIV RADICALS Section 1. Reduction . Section 2. Addition and Subtraction . Section 3. Multiplication and Division . Section 4. Ra- tionalization . Section 5. Powers and ...
... Root . Section 3. Cube Root . Section 4. Other Roots .. CHAPTER XIV RADICALS Section 1. Reduction . Section 2. Addition and Subtraction . Section 3. Multiplication and Division . Section 4. Ra- tionalization . Section 5. Powers and ...
Page xvi
... Root . Section 8. Solution of an Exponential Equation . Section 9. Model Solutions . Section 10. Logarithmic Computa ... Roots . Section 9. Gage - Points . Section 10. The Log Log Rule . CHAPTER XVII TRANSFORMATION OF FORMULAS .. 47. 1 ...
... Root . Section 8. Solution of an Exponential Equation . Section 9. Model Solutions . Section 10. Logarithmic Computa ... Roots . Section 9. Gage - Points . Section 10. The Log Log Rule . CHAPTER XVII TRANSFORMATION OF FORMULAS .. 47. 1 ...
Page 10
... Root Axiom . ( Root Ax . ) If the same root of both members of an equation is indicated or extracted , the result is an equation . ( 8 ) Sum of Parts Axiom . ( Sum Pts Ax . ) The whole of any quantity equals the sum of its parts and is ...
... Root Axiom . ( Root Ax . ) If the same root of both members of an equation is indicated or extracted , the result is an equation . ( 8 ) Sum of Parts Axiom . ( Sum Pts Ax . ) The whole of any quantity equals the sum of its parts and is ...
Page 32
... root of the product of the areas of the two bases . FIG . 20 . 26. Area of a Sphere . The area of a sphere equals π times the square of its diameter . Formulate also in terms of radius . 27. Volume of a Sphere . The volume of a sphere ...
... root of the product of the areas of the two bases . FIG . 20 . 26. Area of a Sphere . The area of a sphere equals π times the square of its diameter . Formulate also in terms of radius . 27. Volume of a Sphere . The volume of a sphere ...
Page 36
... root of the quotient of the length in feet and the force of gravity g . 54. Current from a Multiple Battery . The cur- rent from a battery arranged in parallel equals the voltage ( electromotive force ) divided by the sum of the ...
... root of the quotient of the length in feet and the force of gravity g . 54. Current from a Multiple Battery . The cur- rent from a battery arranged in parallel equals the voltage ( electromotive force ) divided by the sum of the ...
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Common terms and phrases
algebraic alignment angle antilog binomial coefficient column common logarithm completing the square cube root cylinder decimal point denotes determined diagrammatic setting diameter difference distance Divide division divisor duplex Electromotive Force Examples expansion expression factor feet force fractional exponents gage-point given number graduation hair-line horse-power Illustration integral figures least common denominator length log log logarithm Mannheim rule mantissa mathematics mean effective pressure method monomial Multiply natural number negative characteristic number of integral number of teeth obtained paragraph parenthesis polynomial pounds preceding pressure problem proportion pulley quotient r₁ radical radius ratio reduced resistance result revolutions per minute root index scale SECTION simplest form simplify sine slide slide-rule solution Solve the following Solve the formula specific gravity square inches square root substitute subtraction tangent temperature trinomial unknown quantity varies inversely varies jointly velocity volume weight work-book Write zero
Popular passages
Page 83 - It has been found by experiment that the weight of a body varies inversely as the square of its distance from the center of the earth. If a...
Page 219 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Page 29 - The hypotenuse of a right triangle is the side opposite the right angle. The sides including the right angle are sometimes called the arms of the right triangle.
Page 298 - 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 81 - The velocity of a falling body varies as the time during which it has fallen from rest. If the velocity of a falling body...
Page 87 - It has been found by experiment that the distance a body falls from rest varies as the square of the time.
Page 45 - P = mean effective pressure in pounds per square inch; L = length of stroke in feet; A =area of piston in square inches; N = number of strokes per minute = revolutions per minute x 2.
Page 83 - The Volume of a Gas. The volume of a gas varies inversely as the height of the mercury in the barometer.
Page 242 - The logarithm of a fraction is equal to the difference obtained by subtracting the logarithm of the denominator from the logarithm of the numerator : log (os/6) = log a — log b. For, if 10' = a and 10£ •= b, then IQI-L — a _}.
Page 100 - Glasgow had already discovered in 1830 his "law of gaseous diffusion" ( the relative rates of diffusion of gases are inversely proportional to the square roots of the densities) when he began his work on the phosphoric acids.