## A Treatise on Mensuration for the Use of Schools |

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12 feet 20 feet 20 inches 9 inches abscissa acres altitude Appendix Area Seg base cask centre circular circular segment circumference circumscribed circle conjugate contained cube cubic feet cubic inches cylinder cylindroid deduct Demonstration depth dimensions distance divide elliptical equal in area feet 6 inches feet 9 figure find the area find the content find the solidity foot frustum give the area given half hyperbola imperial gallons inches broad last product line A B measure middle diameter multiply the sum nonagon ordinate parallel perches perpendicular perpendicular height piece of timber prism PROBLEM VIII product will give pyramid quarter girt quotient radius remainder required its solidity required the area required the solidity rhombus right angles roof RULE sector segment slant height SLIDING RULE solid content solid feet specific gravity sphere spheroid square pyramid square root superficial content surface thickness trapezium triangle versed sine vessel zone

### Popular passages

Page 245 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 42 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.

Page 185 - ... the breadth, the remainder shall be esteemed the just length of the keel to find the tonnage ; and the breadth shall be taken from the outside of the outside plank in the broadest place in the ship, be it either above or below the main wales...

Page 162 - PAINTERS' WORK. PAINTERS' work is computed in square yards. Every part is measured where the colour lies ; and the measuring line is forced into all the mouldings and corners. Windows are done at so much a piece. And it is usual to allow double measure for carved mouldings, &c.

Page 50 - BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other.

Page 3 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.

Page 6 - The diameter of a circle is a straight line passing through the center, and terminated, both ways, by the circumference.

Page 95 - Rule 2. From three times the diameter of the sphere subtract twice the height of the segment; multiply this remainder by the square of the height and the product by 0.5236.

Page 133 - Rule. Set 12 on B to the breadth in inches on A ; then against the length in feet on B, is the content on A> in feet and fractional parts.

Page 49 - Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector. Then...