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 SolidsJ. Whetham, 1836 - 220 sider |
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Vanlige uttrykk og setninger
A B C D is equal A B D ABCD angles A B C bases and altitudes bisect centre chord circumference circumscribed conic frusta Corollary cubes curve surface cylinder decagon described determined diagonal diameter dihedral angles diverging equal angles equal bases equal sides equiangular exterior angle frustum given right line greater hypotenuse inscribed intersecting isosceles triangles join Let A B C D meet opposite angles parallel planes parallelogram parallelopiped perimeters perpen perpendicular plane angles plane E F planes A B preceding PROBLEM proportional quadrilateral radii radius ratio rectilinear figure regular polygon Remark respectively equal right angled triangle right lines drawn segment semiperimeter sides A B slant side solid sphere spherical angle spherical triangle square subtended tangent THEOREM THEOREM VIII triangle A B C triangular prisms triangular pyramids trihedral vertex vertices volume
Populære avsnitt
Side 33 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 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.
Side 20 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Side 213 - The surface of a sphere is equal to four times the area of a circle...
Side 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.
Side 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.
Side 26 - To describe a square that shall be equal to a given rectilineal figure. To describe an isosceles triangle having each of the angles at the base double of the third angle. To inscribe a regular pentagon in a given circle. The squares on two sides of a triangle are together equal to twice the square on half the third side and twice the square on the median to that side. If...
Side 73 - THEOREM. The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD.
Side 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.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the.
Side 185 - ... be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...