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ABCD acres altitude annuity base bisected breadth bushels cask centre chord circle circumference coefficient common cosec cosine cube root cubic denominator depth diagonal diameter difference distance divided divisor draw equal equation equiangular Example EXERCISES feet figure Find the area Find the sum Find the surface fraction frustum gallons gauge given greater height hence hypotenuse inches latitude least common multiple length less line drawn logarithm miles Multiply number of sides parallel Parallel Sailing parallelogram parallelopiped perpendicular plane Plane Sailing poles polygon prism Prop proportional Proposition pyramid quotient r'Ls radius ratio rectangle contained remainder right angles Rule sailed Scholium Secant segment side AC sine slant height solid angles specific gravity square root station straight line subtract surd surface and solidity tangent Theorem trapezium triangle ullage unknown quantities yards
Page 120 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 111 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or...
Page 75 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 76 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
Page 80 - ... is supposed . to be divided into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Page 76 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 132 - To draw a straight line perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH ; it is required to draw from the point A a straight line perpendicular to the plane BH.
Page 114 - ... of the base, have the same ratio which the other sides of the triangle have to one...
Page 67 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.