# A Complete System of Mensuration of Superficies and Solids, of All Regular Figures: Calculated for the Use of Schools, Academies, and Private Learners

M'Elrath, Bangs & Company, 1833 - Measurement - 159 pages
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### Contents

 Of the square 7 Of Parallelograms 16 Of Equilateral Triangles 22 Of the Trapezium 28 Of Circles 36 Of the Segment 42 Of Conic Sections 48 Of the Hyperbola 56
 SECTION V 72 SECTION VI 84 Of Regular Bodies 99 Of Artificers Work 124 Miscellaneous Questions 142 FORERA 143 A Table of the Areas of the Segments of a Circle 152

### Popular passages

Page 74 - Take the length of the keel within board (so much as she treads on the ground) and the breadth within board by the midship beam, from plank to plank, and half the breadth for the depth, then multiply the length by the breadth, and that product by the depth, and divide the whole by 94; the quotient will give the true contents of the tonnage.
Page 36 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 51 - X 40) : 60 : 200 : 150 = the conjugate axis. 4. To find the transverse axis. Take the square root of the difference of the squares of the ordinate and half conjugate, and add to this the half conjugate if the lesser absciss is used, but subtract the half conjugate if the greater absciss is used.
Page 124 - Square Measure 144 square inches = 1 square foot 9 square feet = 1 square yard...
Page 121 - Add into one sum 39 times the square of the bung diameter, 25 times the square of the head diameter, and 26 times the product of the...
Page 52 - Multiply the square root of half the sum of the squares of the two axes by *, and the product will be nearly = the circumference. Ex. Taking the same example as before, we hare /24' + IT \/ = — X 3,14159 = 66,6433= the circumference nearly.