## 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 ix

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**equations**, extermination , & c . Quadratic**equations Equations**in general Progressions , arithmetical and geometrical Principles of logarithms Computation and use of formulę - - 91 60 8852 2216 70 72 78 86 94 · - 99 · · 101 GEOMETRY ... Page 60

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**equation**is when two sets of quantities which make an equal aggregate are placed with the sign of equality ( = ) be- tween them : As 12 + 5 = 203 , or x + y a + b = c d . The quantities placed on both sides the sign of equality are ... Page 78

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**Equations**. An algebraic**equation**is an expression by which two quanti- . ties called members ( whether simple or compound ) , are indi- cated to be equal to each other , by means of the sign of equality = placed between them . In**equations**... Page 79

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**equation**, it is named an adfected**equation**. Thus x2 = a + 15 , is a simple quadratic**equation**: a2 + ax = b , an adfected quadratic . It is the former class of**equations**that we shall first con- sider . The reduction of an**equation**... Page 80

... a :: 5b : 3 c , to find x . Mult . means and extremes , cx = 5 a b , 360 Dividing by c , x = 5 a b ÷ 2 c = byc , = = 360 . 14 180 17 = 1019 . 20 a b 9 c Fr. Fr. - invers S UR 10. Givea IL Gren 80 ALGEBRA SIMPLE

... a :: 5b : 3 c , to find x . Mult . means and extremes , cx = 5 a b , 360 Dividing by c , x = 5 a b ÷ 2 c = byc , = = 360 . 14 180 17 = 1019 . 20 a b 9 c Fr. Fr. - invers S UR 10. Givea IL Gren 80 ALGEBRA SIMPLE

**EQUATIONS**.### 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.