Elements of Geometry, Theoretical and Practical: Including Constructions of the Right Line and by the Circle; Together with the Mensuration of All Elementary Plane Figures and Solids |
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Elements of Geometry, Theoretical and Practical: Including Constructions of ... Eugenius Nulty No preview available - 2016 |
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A B C is equal A B D ABCD angles A B C arcs A B bases A B C bases and altitudes bisect centre chord circle A B C circumference common section conic frusta Corollary cubes curve surface cylinder decagon described diagonal diameter dihedral angles diverging equal angles equal bases equal sides equiangular exterior angle faces frustum given right line greater hypotenuse inscribed intersecting isosceles triangles join Let A B C D Let ABC meet opposite angles parallel planes parallelogram parallelopiped perimeters perpendicular plane angles plane E F preceding PROBLEM proportional quadrilateral radii radius ratio rectilinear figure regular polygon Remark respectively equal right angled triangle segment semiperimeter sides A B slant side solid sphere spherical angle spherical triangle square subtended tangent THEOREM triangle A B C triangular prisms triangular pyramids trihedral vertex vertices volume
Popular passages
Page 33 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Page 73 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Page 17 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Page 20 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the greater included angle.
Page 212 - The area of the surface of a sphere is equal to the area of the...
Page 10 - If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles.
Page 213 - The surface of a sphere is equal to four times the area of a circle...
Page 179 - ... cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Page 99 - The square of the side of a regular pentagon, inscribed in a circle, is equal to the squares, of the sides of a regular hexagon, and regular decagon, inscribed in the same circle.
Page 76 - THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides...