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 pàgines
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ABCD altitude base become bisecting called centre chord circle circumference circumscribed coincide common cone consequently construction corresponding Cosine Cotang cylinder denote described determine diameter difference direction distance divide draw drawn equal equation equivalent example expressed extremities faces feet figure follows four give given given point greater half height Hence inches included inscribed intersection joining less logarithm manner measure meet middle multiplied obtain opposite parallel parallelogram pass perpendicular plane polygon portion positive prism PROBLEM proportion pyramid radii radius ratio reason rectangle remainder 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
Pàgina 111 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Pàgina 110 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Pàgina 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.
Pàgina 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'.
Pàgina 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.
Pàgina 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.
Pàgina 172 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Pàgina 105 - ... similar figures are to each other as the squares of their homologous sides.