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 base cask centre chord circle circular segment circumference conjugate contained cube cubic feet cubic inches cylinder cylindroid deduct Demonstration depth dimensions distance divide elliptical feet 6 inches feet 9 feet long figure find the area find the content find the solidity foot frustum give the area given greater diameter half hyperbola imperial gallons inches broad last product least diameter measure middle diameter Multiply the square multiply the sum nonagon parabolic conoid parabolic spindle parallel perches perpendicular height piece of timber prism PROBLEM VII product will give pyramid quarter girt quotient radius required its solidity required the area required the solidity revolving axis rhombus right angles roof RULE 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 yards zone
Popular passages
Page 243 - 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 183 - ... 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 160 - 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 48 - 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 93 - 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 131 - 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 47 - Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector. Then...