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 18
... equal to the weight of 22.815 cubic inches of distilled water , weighed in air , temperature 62 ° Fahrenheit , barometer at 30 inches . oz . dwts . grs . 1 lb. Avoirdupois = 14 11 15 Troy . 1 oz . 1 dr . = 0 18 5 = 01 3 The carat , used ...
... equal to the weight of 22.815 cubic inches of distilled water , weighed in air , temperature 62 ° Fahrenheit , barometer at 30 inches . oz . dwts . grs . 1 lb. Avoirdupois = 14 11 15 Troy . 1 oz . 1 dr . = 0 18 5 = 01 3 The carat , used ...
Σελίδα 45
... equal , the numerator of one of them is to its denominator , as the numerator of the other to its denominator . In a proportion , as 20 : 10 :: 14 : 7 , the second and third terms are called the means , the first and fourth the extremes ...
... equal , the numerator of one of them is to its denominator , as the numerator of the other to its denominator . In a proportion , as 20 : 10 :: 14 : 7 , the second and third terms are called the means , the first and fourth the extremes ...
Σελίδα 46
... equal to 3 x 15 or 45 , that quantity itself is equal to 455 or 9. Generally one of the extremes is equal to the product of the means divided by the other extreme ; and one of the means is equal to the product of the extremes divided by ...
... equal to 3 x 15 or 45 , that quantity itself is equal to 455 or 9. Generally one of the extremes is equal to the product of the means divided by the other extreme ; and one of the means is equal to the product of the extremes divided by ...
Σελίδα 50
... equal parts . 7. An odd number is that which cannot be halved , or which differs from an even number by unity . 8. A prime number is that which can only be measured by 1 , or unity . 9. One number is said to be prime to another when ...
... equal parts . 7. An odd number is that which cannot be halved , or which differs from an even number by unity . 8. A prime number is that which can only be measured by 1 , or unity . 9. One number is said to be prime to another when ...
Σελίδα 51
... equal to an integer number . 13. If a square number be either multiplied or divided by a square , the product or quotient is a square ; and conversely , if a square number be either multiplied or divided by a number that is not a square ...
... equal to an integer number . 13. If a square number be either multiplied or divided by a square , the product or quotient is a square ; and conversely , if a square number be either multiplied or divided by a number that is not a square ...
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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
Δημοφιλή αποσπάσματα
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.