Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration : Accompanied with All the Necessary Logarithmic and Trigonometric Tables

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D. Appleton, 1860 - 443 pàgines
 

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Pàgina 113 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Pàgina 31 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Pàgina 112 - 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 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'.
Pàgina 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.
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 174 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Pàgina 107 - ... similar figures are to each other as the squares of their homologous sides.
Pàgina 180 - Every section of a sphere, made by a plane, is a circle.

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