# Key to the Complete System of Mensuration of Superfices and Solids: Containing Solutions to All the Problems and Questions Therein Contained : Calculated for the Use of Schools, Academies, and Private Learners

M'Elrath, Bangs & Company, 1834 - Measurement - 129 pages

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### Contents

 PREFACE e e s e e e 5 Of the Rhombus e e e e e 11 Of the Isosceles Triangle e 3 e e e 17 Of Polygons e e 23 SECTION II 30 Of the Circular Zone e e e 38 Of the Hyperbola e e 47
 Mensuration of Solids e e e e 63 Of Surfaces and Solids e e e 70 Mensuration of Solids e 78 SECTION IX 85 SECTION XI 92 Of the Ullage of Casks e e e e 99 Mensuration of Solids 105

### Popular passages

Page 40 - All circles are in proportion to each other as the squares of their diameters ; therefore...
Page 51 - To the product of the transverse and abscissa add f of the square of the abscissa, and multiply the square root of the sum by 21.
Page 98 - To the square of the head diameter, add the square of the diameter at the surface of the liquor, and the square of twice the diameter midway between the surface of the liquor and the upper head, and divide the sum by 6 ; the quotient, multiplied by the distance from the surface of the liquor to the upper head, multiplied by .0034, will give the ullage in wine gallons. EXAMPLE. — The diameters are...