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12 inches 18 feet 20 inches abscissa acres angle apothem Area Seg axes base breadth called carpet chord circle circular circumference circumscribed cone conjugate axis contains cubic feet cubic inches curve definition Derived diagonal diame diameter difference distance divided edge ellipse equal equilateral triangle EXAMPLE EXERCISE feet high feet long feet wide figure Find the area Find the solid Find the surface foot formula four frustum gallons give Given greater half Hence hight hypothenuse inches inscribed length mean measuring middle Multiply NOTE ordinate parabola pentagon perches perpendicular plane prism PROBLEM Prop radius regular respectively right-angle rods RULE School sector segment side smaller solid contents SOLUTION sphere spheroid square root square yards symbols SYNOPSIS OF FORMULAS Take transverse axis triangle volume width
Page 127 - Between these, in a right line, stands an ancient statue, the head whereof is 97 feet from the summit of the higher, and 86 feet from the top of the lower column, and the distance between the...
Page 64 - ... the axis and the curve is the vertex. Hyperbola. This curve is formed by the intersection of a plane and a cone, the plane being parallel to the axis of the cone as shown in Fig. 4. Like the parabola, the curve is not a closed curve ; the branches constantly diverge.
Page 41 - 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 127 - In turning a one-horse chaise within a ring of a certain diameter, it was observed that the outer...
Page 136 - ... quart, liquid measure, how much is his gain? Ans. $31.92. 46. What will it cost to build a wall 240 feet long, 6 feet high, and 3 feet thick, at $3.25 per 1000 bricks, each brick being 8 inches long, 4 inches wide, and 2 inches thick ? PERCENTAGE.
Page 134 - What part of 12 yards 1 foot 6 inches is 3^3- of a mile ? 2. If the gram contains 15.432 grains Troy, how many pounds avoirdupois make a kilogram ? 3. A man had a lot 38 feet long and 27 feet wide ; he reserved two grass plats each 8 feet square, and had the rest paved with stone, at 45 cents a square yard. What did the paving cost ? 4. In multiplication by a number expressed by more than one order of figures, where is the first figure in each partial product to be written, and why is it so written...