## 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 |

### From inside the book

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Page 102

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**frustrum**whose diameters of the two ends are D , d , and height h . Π Here D ' = 36 , D d = 6 × 4 = 24 , d2 = 16 , = 2618 nearly . 12 Henceh ( D2 + D d + d2 ) = • 2618 ( 36 + 24 + 16 ) 12 = 2618 x 76 x 12 = 3.141593 × 76 = 238.761068 ... Page 128

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**frustrum**, the vertex of the complete cone being the centre of the circle which will be described by the rim , or edge , of the wheel A , as it rolls upon the proposed plane . Then , it will be , as the diameter of the wheel A , is to ... Page 157

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**frustrum**of the right cone , the diameter of whose ends are E D , B C. Then , if B D be the transverse , or major axis , K N the con- jugate , or minor axis , and s , s ' , the foci , we shall have B D2 = D C2 + ED . BC 2 K N2 = E D BC ... Page 189

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**frustrum**of a cone , may be described . A globe is represented by a circle whose radius is the semi - major axis of the ellipse representing a great circle . It would not be difficult to devise rules for the representation of many other ... Page 190

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**frustrum**of a cone and a cylin- der united ; or perhaps of a cylinder alone , or a congeries of cylinders ; and we have already shown the method of exhibit- ing these , as well as their bases . And on the same principles , the position ...### Common terms and phrases

arch ascending avoirdupois axis axle balance balance spring base body bridge catenary centre of gravity circle circumference column cord cosec cosine cube cubic cubic foot curve cycloid cylinder depth described diameter difference direction distance ditto divided draw drawn ellipse engine equal equation extremity feet figure fluid foot friction frustrum given Hence horizontal horse hyperbola inches inclined plane isometrical length lever London Bridge machine means measure motion move multiply nearly oscillation parabola parallel parallelogram pendulum perpendicular pipe piston plane point of suspension pressure proportion pulley pump quantity radius ratio right angles right line ruler sails secant side sine specific gravity square steam Suppose surface tangent tion tooth triangle tube valve velocity versin vertex vertical vibration Vulgar Fractions weight wheel whole

### Popular passages

Page 12 - 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 121 - 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 13 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...

Page 54 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.

Page 23 - 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 16 - Minute 60 Minutes = 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = 1 Lunar Month 28, 29, 30, or 31 Days = 1 Calendar Month 12 Calendar Months = 1 Year 365 Days = 1 Common Year 366 Days =1 Leap Year In 400 Years, 97 are leap years, and 303 common. WEIGHT OF ENGLISH COINS. Gold. dwt. gr. Sovereign 5 3J Half Sovereign 2 13J Double Sovereign 10 6} Silver.

Page 16 - Every mass of alloyed gold is supposed to be divided into 24 equal parts ; thus the standard for coin is 22 carat fine, that is, it consists of 22 parts of pure gold and 2 parts of alloy.

Page 413 - Strength of Cast Iron, &c. A PRACTICAL ESSAY on the STRENGTH of CAST IRON and OTHER METALS. By the late THOMAS TREDGOLD, Mem. Inst. CE, Author of "Elementary Principles of Carpentry,

Page 44 - 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 45 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.