algebraic algebraic fractions angle arithmetical progression binomial binomial theorem Chapter coefficients column COMMON LOGARITHMS corresponding values cross products cube decimal point distance divide divisor equal EXERCISES Find EXERCISES Solve exponent factor find the logarithm Find the number Find the value finding the sum following examples fractions geometric progression given gives graph graphically Hence hypotenuse inches law for finding linear equations logarithmic scale mantissa mathematics means method Move the runner number of terms number pairs numerator and denominator parabola polynomial problems and exercises pupil quadratic equation quadratic function quotient radical sign ratio remainder required number result right triangle scale side Similarly simplest form sine slide rule Solution Solve the equation Solve the following Solve the system square root substituting subtract synthetic division system of equations tion trinomial unknowns variables variation varies directly varies inversely weight zero
Page 240 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 238 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 6 - To find the pressure in pounds per square inch of a column of water, multiply the height of the column in feet by .434. Approximately, we say that every foot elevation is equal to % pound pressure per square inch ; this allows for ordinary friction. To find the diameter of a pump cylinder...
Page 33 - If 5 men can do a piece of work in 10| days, how long will it take 1 man to do the same ? 12.
Page 32 - Neither group was familiar with the inverse square law of optics, which says that relative brightness is inversely proportional to the square of the distance of the object from the light source.
Page 40 - Then we divide the first term of the divisor into the first term of the dividend.
Page 123 - Hence, all numbers that differ only in the position of the decimal point have the same significant part. For example, .002103...
Page 6 - The time required by a pendulum to make one vibration varies directly as the square root of its length. If a pendulum 100 centimeters long vibrates once in 1 second, find the time of one vibration of a pendulum 64 centimeters long.
Page 122 - ... and a decimal called the mantissa. All numbers which consist of the same figures standing in the same order have the same mantissa, regardless of the position of the decimal point in the number, or of the number of ciphers which precede or follow the significant figures of the number. The value of the characteristic depends entirely on the position of the decimal point in the number.