Mathematics for practical men1848 - 80 pages |
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Common terms and phrases
angle avoirdupois axis beam body catenary centre of gravity circle circumference column Cosec Cosine Cotang cube curve cycloid cylinder decimal deflexion denominator depth diameter difference direction distance Ditto divided divisor elastic ellipse engine equal equation example expressed feet figure fluid force formula fraction given horizontal horse hyper hyperbola length load logarithm means motion moved multiply obtain P₁ parabola parallel pendulum perpendicular pipe piston plane pounds pressure Prop proportion quantity quotient radius ratio resistance right line root Secant Secant Cotang SECT side sine specific gravity steam strength of materials stroke subtract Suppose surface Tang tangent temperature term tion transverse triangle tube valve velocity vertex vertical vibration vulgar fraction weight wheel
Popular passages
Page 140 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 39 - 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 40 - 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.
Page 156 - ... will be — As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Page 289 - ... the pressure of the atmosphere on the surface of the water in the...
Page 130 - 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 36 - Subtract the square thus found from the said period, and to the remainder annex the two figures of the next following period for a dividend. Double the root above mentioned for a divisor, and find how often it is contained in the said dividend, exclusive of its right-hand figure ; and set that quotient figure both in the quotient and divisor.
Page 255 - Face, is equal to the Weight of a. Column of the Fluid, whose Base is the Plane...
Page 126 - 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. Formerly it was made to consist of 12 parts, called lines.
Page 306 - In sails of a similar figure and position, the number of turns in a given time will be reciprocally as the radius or length of the sail.