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abscissa altitude amount angle applies approximation attached base becomes bounded called circle circumference common point computed Construct the graph coördinates correct corresponding curve decimal places definition denoted determine diameter difference direction distance divide dividend divisor draw equal equation equidistant error EXAMPLE expressed extends feet fifth figure Find graphically Find the area Find the volume follows fourth give Hence inches increased indicates infinitely initial point integral interest length less limit line segments Locate logarithm manner mantissa means measured meet mile multiplier negative opposite ordinate parallel partial products payment planes polygons positive prismatoid PROBLEM proportional quotient radian radius represented result root scale side significant figure sine solid Solve sphere square straight line subtracted successive terminal point third triangle unit vector vertices volume X-axis Y-axis yards
Pàgina 55 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 4 - The square on the hypotenuse equals the sum of the squares on the other two sides.
Pàgina 33 - The radian is the plane angle between two radii of a circle which cut off on the circumference an arc equal in length to the radius. The steradian is the solid angle which, having its vertex in the center of a sphere, cuts off an area of the surface of the sphere equal to that of a square with sides of length equal to the radius of the sphere.
Pàgina 41 - ... the initial point of the first vector to the terminal point of the last is their vector sum.
Pàgina 86 - ... bounded on one side by a straight line and on the other by a zigzag.
Pàgina 54 - The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor.
Pàgina 57 - In a right triangle, the perpendicular from the vertex of the right angle to the hypotenuse is a mean proportional between the segments of the hypotenuse: p2 = mn. Any two similar figures, in the plane or in space, can be placed in " perspective," that is, so that lines joining corresponding points of the two figures will pass through a common point.
Pàgina 87 - S'-A'B'C' be two triangular pyramids having equivalent bases situated in the same plane, and equal altitudes. To prove that S-ABC =0= S'-A'B'C'. Proof. Divide the altitude into n equal parts, and through the points of division pass planes parallel to the plane of the bases, forming the sections DEF, GHI, etc., D'E'F', G'H'I', etc. In the pyramids S-ABC and S'-A'B'C' inscribe prisms whose upper bases are the sections DEF, GHI, etc., D'E'F', G'H'T, etc.