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ABCD altitude base become bisect called centre chord circle circumference circumscribed coincide column common cone consequently construction corresponding Cosine Cotang cylinder denote described determine diameter difference direction distance divided draw drawn equal equation equivalent example expressed faces feet figure follows formula four given gives greater half height hence inches included inscribed intersection join length less logarithm manner measure meet middle multiplied obtain opposite parallel parallelogram parallelopipedon pass perimeter perpendicular plane polygon portion positive prism PROBLEM proportion pyramid radii radius ratio reason rectangle regular remaining respectively right angles RULE Scholium secant sides similar Sine solid sphere spherical triangle square straight line subtract suppose surface taken Tang Tangent THEOREM third triangle triangle ABC unit volume
Page 113 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Page 112 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Page 35 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 80 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Page 139 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Page 17 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Page 174 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Page 107 - ... similar figures are to each other as the squares of their homologous sides.