Mathematics for Practical Men: Being a Common-place Book of Principles, Theorems, Rules, and Tables, in Various Departments of Pure and Mixed Mathematics, with Their Application; Especially to the Pursuits of Surveyors, Architects, Mechanics, and Civil Engineers

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E. L. Carey and A. Hart, 1834 - Mathematics - 427 pages

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Page 10 - Yard, when compared with a Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea is in the proportion of Thirty-Six Inches to Thirty-Nine Inches and one thousand three hundred and ninety-three ten-thousandth Parts of an Inch...
Page 11 - Mile {1 Degree of a Great Circle of the Earth An Inch is the smallest lineal measure to which a name is given, but subdivisions are used for many purposes. Among mechanics the Inch is commonly divided into eighths. By the officers of the revenue, and by scientific persons, it is divided into tenths, hundredths, &c.
Page 14 - MEASURE OF TIME. 60 Seconds = 1 Minute 60 Minutes = 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = I Lunar Month 28, 29, 30, or 31 Days = 1 Calendar Month 12 Calendar Months...
Page 41 - The mean proportional between two numbers is equal to the square root of their product.
Page 42 - That is, in any proportion, either extreme is equal to the product of the means divided by the other extreme; and either mean is equal to the product of the extremes divided by the other mean.
Page 60 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 21 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 249 - ... the rod, so as to occasion the clock to go fast with heat, some mercury must be taken out of the vessel, so as to shorten the column. And thus may the expansion and contraction of the quicksilver in the glass be made exactly to balance the expansion and contraction of the pendulum rod, so as to preserve the distance of the centre of oscillation from the point of suspension invariably the same.
Page 14 - CIRCLE. 60 Seconds = 1 Minute. 60 Minutes = 1 Degree. 30 Degrees = 1 Sign. 90 Degrees = 1 Quadrant. 360 Degrees, or 12 Signs = 1 Circumference. Formerly the subdivisions were carried on by sixties ; thus, the second was divided into 60 thirds, the third into 60 fourths, &c.
Page 42 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

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