## A complete System of Mensuration ... With many ... Additions ... by J. Trotter |

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18 inches 20 feet acres added allowed angle arch axis base bottom bound breadth broad called centre chord circle circular circumference contains cosine cubic feet cubic inches curve describe diagonal diameter difference direction distance divided draw drawn Edit ellipse ends equal extremities feet 6 inches field figure find the area fixed foot four frustum girt give given greater half height join length less logarithm mark mean measured meet middle multiply NOTE opposite parallel perches perpendicular poles PROB radius remainder Required the area Required the content roods round RULE segment sides solid content square feet square yard station straight line subtract Suppose surface taken tangent thickness triangle walls whole yards zone

### Popular passages

Page 74 - To twice the length of the base add the length of the edge ; multiply the sum by the breadth of the base, and by one-sixth of the height.

Page 188 - I would have a square foot cut off parallel to the shorter edge ; I would then have the like quantity divided from the remainder parallel to the longer side...

Page 57 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.

Page 64 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.

Page 12 - Quadrilateral ; of five sides a Pentagon ; of six sides a Hexagon ; of seven sides a Heptagon ; of eight sides an Octagon ; of nine sides a Nonagon ; of ten sides a Decagon ; of twelve sides a Dodecagon.

Page 71 - To find the solidity of a cone. RULE. Multiply the area of the base by the perpendicular height, and ^ of the product will be the solidity.

Page 36 - Art. 191. THE area or surface of a figure is the number of square inches, feet, yards, &c., which it contains. A square constructed upon a straight line, of which the length is an inch, is called a square inch; and the same is to be understood of a square foot, &c. This is called the measuring unit, and the area of any figure is the number of times it contains the measuring unit. Art. 192. To FIND THE AREA OF A TRIANGLE.

Page 144 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.

Page 33 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Page 88 - A SPHEROID is a solid, generated by the revolution of an ellipse about one of its diameters. If the ellipse revolves about its longer or...