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 EngineersE. L. Carey and A. Hart, 1834 - 427 σελίδες |
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Σελίδα ix
... roots , square , cube , and higher roots Proportion , rule of three , compound proportion , & c . Properties of numbers Numerical problem on the reduction of ratios · ALGEBRA . PAGE 1 4 5 6 10 12 · 14 21 23 26 28 29 32 33 35 38 39 44 50 ...
... roots , square , cube , and higher roots Proportion , rule of three , compound proportion , & c . Properties of numbers Numerical problem on the reduction of ratios · ALGEBRA . PAGE 1 4 5 6 10 12 · 14 21 23 26 28 29 32 33 35 38 39 44 50 ...
Σελίδα 4
... roots is indicated by the sign ✓ , with a figure occasionally placed over it to express the degree of the root . Thus 4 signifies the square root of 4 , 27 the cube root of 27 , ✓ 16 the fourth or biquadrate root of 16 ; and so on ...
... roots is indicated by the sign ✓ , with a figure occasionally placed over it to express the degree of the root . Thus 4 signifies the square root of 4 , 27 the cube root of 27 , ✓ 16 the fourth or biquadrate root of 16 ; and so on ...
Σελίδα 39
... Roots . A power is a quantity produced by multiplying any given number , called the root or radix , a certain number of times con- tinually by itself . The operation of thus raising powers is called involution . 3 = 3 is the root , or ...
... Roots . A power is a quantity produced by multiplying any given number , called the root or radix , a certain number of times con- tinually by itself . The operation of thus raising powers is called involution . 3 = 3 is the root , or ...
Σελίδα 40
... root and the cube root , the former being 8 , the latter 4 . By means of decimals we can in all cases approximate the root to any proposed degree of exactness . Those roots which only approximate are called surd roots , or surds , or ...
... root and the cube root , the former being 8 , the latter 4 . By means of decimals we can in all cases approximate the root to any proposed degree of exactness . Those roots which only approximate are called surd roots , or surds , or ...
Σελίδα 41
... root ; from which , and the last dividend , find the next figure of the root as before ; and so on through all the periods , to the last . * Note . The best way of doubling the root , to form the new divisors , is by adding the last ...
... root ; from which , and the last dividend , find the next figure of the root as before ; and so on through all the periods , to the last . * Note . The best way of doubling the root , to form the new divisors , is by adding the last ...
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arch avoirdupois axis axle balance balance spring base body boiler bridge canal catenary centre of gravity circle circumference column cord cosec cosine cube cubic cubic foot curve cycloid cylinder described diameter direction distance ditto divided draw drawn elastic force ellipse engine equal equation feet figure fluid foot fraction frustrum given Hence horizontal horse hyperbola inches isometrical length lever logarithms London Bridge means measure motion move multiply nearly parabola parallel parallelogram pendulum perpendicular pipe piston placed plane pounds pressure proportion pulley pump quantity radius ratio rhombus right angles right line root ruler sails secant side sine solid specific gravity square steam Suppose surface tangent tion triangle tube valve velocity vertex vertical vessel vibration Vulgar Fractions weight wheel whole
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Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 41 - The mean proportional between two numbers is equal to the square root of their product.
Σελίδα 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.
Σελίδα 60 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.