Constructive Text-book of Practical Mathematics, Volume 2, Part 1J. Wiley & sons, Incorporated, 1913 - Mathematics |
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Page 15
... minus sign . Add 5 to the first equation . To how many members did you add it ? Add z to the second equation . Subtract 13 from the third equation . Both add 8 and subtract y from the fourth equation . Number each of the resulting ...
... minus sign . Add 5 to the first equation . To how many members did you add it ? Add z to the second equation . Subtract 13 from the third equation . Both add 8 and subtract y from the fourth equation . Number each of the resulting ...
Page 64
... . * Positive numbers are indicated by a plus sign ; negative , by a minus sign . † All angles are read counter - clockwise from the right segment of the X axis . TABLE II RESOLUTION AND COMPOSITION OF FORCES x y I 64 42 TECHNICAL ALGEBRA.
... . * Positive numbers are indicated by a plus sign ; negative , by a minus sign . † All angles are read counter - clockwise from the right segment of the X axis . TABLE II RESOLUTION AND COMPOSITION OF FORCES x y I 64 42 TECHNICAL ALGEBRA.
Page 102
... minus in each column is then determined and the result is written underneath . 62. Illustration . Suppose the following polynomials are to be added : 3x4 + 5x3 - 6x2 + 4x - 1 ; 6x2-9x4 + x3 - 13x + 1 ; 12x3 - 8x2 + 16 ; and 6x4-11x ...
... minus in each column is then determined and the result is written underneath . 62. Illustration . Suppose the following polynomials are to be added : 3x4 + 5x3 - 6x2 + 4x - 1 ; 6x2-9x4 + x3 - 13x + 1 ; 12x3 - 8x2 + 16 ; and 6x4-11x ...
Page 103
... minus in each column . 65. Examples in Addition . Find the sum of the follow- ing as specified by the law : 1. 3x - 6x + 2x4-8x3 , -12x + 11x - 16x3 . 3x3 −6x1 + 2x2 —x , 7x4 + 9x3 - x2 + 10x , 2. y1 + 3y3 - 2y2 + 5y , 8y2 - 7y + 11y3 ...
... minus in each column . 65. Examples in Addition . Find the sum of the follow- ing as specified by the law : 1. 3x - 6x + 2x4-8x3 , -12x + 11x - 16x3 . 3x3 −6x1 + 2x2 —x , 7x4 + 9x3 - x2 + 10x , 2. y1 + 3y3 - 2y2 + 5y , 8y2 - 7y + 11y3 ...
Page 105
... minus sign indicates that Sx is to be subtracted from R. In bc- ( x + 2y ) , the minus indicates that x + 2y is to be subtracted from bc . 67. The Subtrahend . The subtrahend is the quantity which follows a minus sign . In R - Sx , what ...
... minus sign indicates that Sx is to be subtracted from R. In bc- ( x + 2y ) , the minus indicates that x + 2y is to be subtracted from bc . 67. The Subtrahend . The subtrahend is the quantity which follows a minus sign . In R - Sx , what ...
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algebraic Armature loss binomial binomial theorem coefficient column Compute the value cube root cubic cylinder decimal point denominator denotes determined difference distance divided division divisor electromotive force equation Examples expansion expression force formula of problem fractional exponents gage-point gear given number graduation horse-power Hydrometer hypotenuse Illustration integral figures lead-screw length letter log log logarithm Mannheim Mannheim rule mantissa mathematics mean effective pressure minus monomial multiplied natural number number of integral number of teeth paragraph parenthesis perpendicular pitch pounds pressure proportion pulley quotient radical ratio regular polygon resistance result revolutions per minute root index runner scale second member SECTION shunt field loss simplify sine slide slide-rule solution Solve the following Solve the formula specific gravity square inches square root subtraction symbol tangent temperature TRIGONOMETRIC FUNCTIONS unknown quantity varies directly varies inversely varies jointly velocity volume weight wire work-book
Popular passages
Page 72 - 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 197 - 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 18 - 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 76 - It has been found by experiment that the distance a body falls from rest varies as the square of the time.
Page 73 - Given that the area of a circle varies as the square of its...
Page 265 - 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 70 - 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 34 - 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 209 - 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 89 - 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.