# 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, 1834 - Measurement - 159 pages
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### Contents

 PREFACE 7 Or Parallelograms 16 Or Equilateral Triangles 22 Orihe Trapezium 30 SECTION II 36 Or the Segment 42 SECTION III 48 Of the Hyperbola 56
 Mensuration of Solids 94 SECTION IX 104 SECTION XI 114 SECTION XIV 124 SECTION XV 133 SECTION XVII 142 56 147 SECTION v

### 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 124 - Square Measure 144 square inches = 1 square foot 9 square feet = 1 square yard...
Page 19 - ... is equal to the square root of the difference of the squares of the hypotenuse and the other leg.
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.
Page 7 - ... rods, &c. A square inch means a space an inch long and an inch broad, in which depth or thickness is not considered ; and so of square feet, yards, rods, &c. And the superficial contents, or area of any plain surface, is the number of square inches, feet, yards, rods, acres, &«., which it contains.
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 30 - Multiply the square of the side of the polygon by the number standing opposite to its name in the following table, and the product will be the area.
Page 37 - ... multiply the square of the diameter by ,7854 and the product will be- the area.
Page i - Mosaic Creation illustrated by Discoveries and Experiments derived from the present enlightened State of Science : to which is prefixed the Cosmogony of the Ancients. "With Reflections intended to promote vital and practical Religion/' This volume fully redeemed the promise given in its title-page.