Constructive Text-book of Practical Mathematics, Volume 2J. Wiley & Sons, 1913 - Mathematics |
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Page 66
... sine 0 , cosine 0 , and tangent 0 . They are defined and abbreviated as follows : ( 1 ) sin 0 opp = or RV hyp ' Proj ( 2 ) cos 0 = adj or RV hyp ' 1 ( 3 ) tan 0 = opp = or Proj adj Their value is always the same for a given angle ...
... sine 0 , cosine 0 , and tangent 0 . They are defined and abbreviated as follows : ( 1 ) sin 0 opp = or RV hyp ' Proj ( 2 ) cos 0 = adj or RV hyp ' 1 ( 3 ) tan 0 = opp = or Proj adj Their value is always the same for a given angle ...
Page 67
... sine , cosine , or tangent , is written preceding and not following these functions . The equations obtained by clearing ( 1 ) and ( 2 ) of fractions may be used as formulas for computing the x and y com- ponents of a force of unknown ...
... sine , cosine , or tangent , is written preceding and not following these functions . The equations obtained by clearing ( 1 ) and ( 2 ) of fractions may be used as formulas for computing the x and y com- ponents of a force of unknown ...
Page 69
... sine of an obtuse angle , positive or negative ? Is the cosine of an obtuse angle , pcsitive or negative ? Is the tangent of an obtuse angle , positive or negative ? Explain fully each of your three answers . Therefore when the sine of ...
... sine of an obtuse angle , positive or negative ? Is the cosine of an obtuse angle , pcsitive or negative ? Is the tangent of an obtuse angle , positive or negative ? Explain fully each of your three answers . Therefore when the sine of ...
Page 91
... sine of the angle of deflection ( sin d ) . Express this law as an equation and solve for Y1 . 56. Joint Variation . and y = 2 , 2 = 4 . = 1 z varies jointly as x and y . When x = Compute the value of x when 2 = 30 and y = 3 . 57 ...
... sine of the angle of deflection ( sin d ) . Express this law as an equation and solve for Y1 . 56. Joint Variation . and y = 2 , 2 = 4 . = 1 z varies jointly as x and y . When x = Compute the value of x when 2 = 30 and y = 3 . 57 ...
Page 95
... sine of the angle at which the rays fall ( sin 0 ) , and inversely as the square of the distance of the light . Solve the formula for D2 . 75. Law of Resistance . The resistance of a conductor varies directly as its length into the ...
... sine of the angle at which the rays fall ( sin 0 ) , and inversely as the square of the distance of the light . Solve the formula for D2 . 75. Law of Resistance . The resistance of a conductor varies directly as its length into the ...
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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.