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ABCD altitude angle angular points arc bc arc by Pr axes base called centre chains chord of half circumf circumference Compute the area cone convex surface cube cubic foot cumference Demonstration diagonal diameter distance divide edge ellipse ends equilateral triangle EXAMPLE EXERCISE feet long find the Area Find the length find the Solid FORMULA frustum given gonal half arc half the arc hexagonal hypothenuse infinite number lineal dimensions miles Multiply the square N. V. Sine NOTE number of degrees number of sides Oblique parabola parallelogram parallelopiped perp perpendicular poles polygon prism prismoid PROBLEM pyra pyramid radii radius rectangle regular Regular Polyhedron rhombus right cylinder right-angled triangle ring RULE sector similar slant height solid content sphere spheroid square inches square pyramid square root square yards straight line superficial area tabular segment three sides trapezoid triangular versed sine wedge whole
Popular passages
Page 4 - In a Right-angled Triangle, the side opposite the right angle is called the Hypothenuse ; and the other two sides are called the Legs, and sometimes the Base and Perpendicular.
Page 37 - Square Measure 144 square inches = 1 square foot 9 square feet = 1 square yard 30£...
Page 19 - The side of a square is equal to the square root of half the square of its diagonal.
Page 22 - A ladder 40 feet long may be so placed that it will reach a window 33 feet high on one side of the street, and by turning it over without moving its foot it will reach a window 21 feet high on the other side. Find the breadth of the street.
Page 82 - 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 77 - ADD THE LENGTH OF THE EDGE TO TWICE THE LENGTH OF THE BASE, AND MULTIPLY THE SUM BY £ OF THE PRODUCT OF THE HEIGHT OF THE WEDGE AND THE BREADTH OF THE BASE.
Page 46 - From half the sum of the three sides, subtract each side separately; multiply the half sum and the three remainders together, and the square root of the product will be the area required.
Page 5 - A pentagon is a polygon of five sides ; a hexagon, of six sides ; a heptagon, of seven ; an octagon, of eight ; a nonagon, of nine ; a decagon, of ten ; an undecagon, of eleven ; and a dodecagon, of twelve sides.
Page 30 - 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 12 - ... 2. A parallelepiped is a prism bounded by six quadrilateral planes, every opposite two of which are equal and parallel. 3. A prism is a solid, whose ends are parallel, similar, and equal, and the sides connecting these are parallelograms. 4. A pyramid is a solid, whose base is any plane figure, and whose sides are triangles, having all their vertices meeting together in a point above the base, called the -vertex of the pyramid. 5. A...