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acres altitude angle answer arc bc axes axis base bounded breadth broad Calculate called centre chord circle circular circumf circumference column Compute cone contained convex surface corresponding cube cubic cylinder Demonstration described diagonal diameter dimensions distance divide drawn edge ellipse ends equal EXAMPLE EXERCISE expressed feet figure find the Area find the Solid foot FORMULA four frustum given ground height hexagonal inches length mean measuring miles Multiply named nearly NOTE Oblique opposite parallel parallelopiped perp perpendicular placed plane poles polygon prism prismoid PROBLEM pyramid radius rectangle rectangular rectilineal regular right-angled triangle ring RULE sector segment sides similar Sine slant height solid content sphere square square yards straight line superficial surface Table thickness triangle units versed sine wedge whole zone
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 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...