Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration : Accompanied with All the Necessary Logarithmic and Trigonometric Tables
D. Appleton, 1860 - 443 σελίδες
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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 diameter difference direction distance divide draw drawn equal equation equivalent example expressed faces feet figure follows four given gives greater half height hence inches included inscribed intersection join less logarithm manner measure meet middle multiplied obtain opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon portion positive prism PROBLEM proportion pyramid radii radius ratio reason rectangle regular remaining respectively right angles RULE Scholium sides similar Sine solid sphere spherical triangle square straight line subtract suppose surface taken Tang Tangent THEOREM third triangle triangle ABC unit volume
Σελίδα 111 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 110 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Σελίδα 33 - 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.
Σελίδα 78 - 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'.
Σελίδα 137 - 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.
Σελίδα 15 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Σελίδα 172 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 105 - ... similar figures are to each other as the squares of their homologous sides.