Constructive Text-book of Practical Mathematics, Volume 2J. Wiley & Sons, 1913 - Mathematics |
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Results 1-5 of 34
Page 25
... distance traveled by a train which runs for a given number of hours at a given rate per hour ? Distance = what times what ? If d the distance in miles , r = the rate in miles per hour , and the time of running in hours , then d 29 25 ...
... distance traveled by a train which runs for a given number of hours at a given rate per hour ? Distance = what times what ? If d the distance in miles , r = the rate in miles per hour , and the time of running in hours , then d 29 25 ...
Page 26
... distance to time and rate . It is therefore a formula . To be more definite it is a significant formula because the symbols in which it is expressed are the first or initial letters of the names of the quantities involved , as d for ...
... distance to time and rate . It is therefore a formula . To be more definite it is a significant formula because the symbols in which it is expressed are the first or initial letters of the names of the quantities involved , as d for ...
Page 28
... distance between them . α b FIG . 6 . FIG . 7 . having none of its sides parallel . The area of a trape- zium equals equals one - half times one of its diag- onals times the sum of the perpendiculars to that diagonal from the vertices ...
... distance between them . α b FIG . 6 . FIG . 7 . having none of its sides parallel . The area of a trape- zium equals equals one - half times one of its diag- onals times the sum of the perpendiculars to that diagonal from the vertices ...
Page 29
... distance from the center to any side . The area of a regular polygon equals one - half the perimeter times the apothem .. FIG . 8 . FIG . 9 . An angle 10. Angle of a Regular Polygon . 0 , of a regular polygon having n sides , equals 180 ...
... distance from the center to any side . The area of a regular polygon equals one - half the perimeter times the apothem .. FIG . 8 . FIG . 9 . An angle 10. Angle of a Regular Polygon . 0 , of a regular polygon having n sides , equals 180 ...
Page 33
... distance s equals the average velocity multiplied by the time . In this formula substitute for average velocity from the last formula of problem 34 , and simplify . 36. Velocity of Falling Body . The velocity V of a falling body under ...
... distance s equals the average velocity multiplied by the time . In this formula substitute for average velocity from the last formula of problem 34 , and simplify . 36. Velocity of Falling Body . The velocity V of a falling body under ...
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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.