Plane and Solid Geometry |
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Page xii
... circumference . complement . construction . corollary . corresponding . definition . · ex . exercise . ext . exterior . hom .. homologous . is similar to , or similar . hy . . angle . hyp . angles . int . triangle . isos . • triangles ...
... circumference . complement . construction . corollary . corresponding . definition . · ex . exercise . ext . exterior . hom .. homologous . is similar to , or similar . hy . . angle . hyp . angles . int . triangle . isos . • triangles ...
Page 33
... circumference is a curved line , all of whose points are equidistant from a point within called the center , as ABC , the center being D. A circle is the portion of a plane bounded by a circumference , and is usually read " the circle D ...
... circumference is a curved line , all of whose points are equidistant from a point within called the center , as ABC , the center being D. A circle is the portion of a plane bounded by a circumference , and is usually read " the circle D ...
Page 41
... circumference find a point equidistant from two given points . Ex . 163. Find a point equidistant from three given points . 120. DEF . The distance of a point from a line is the length of the perpendicular from the point to the line ...
... circumference find a point equidistant from two given points . Ex . 163. Find a point equidistant from three given points . 120. DEF . The distance of a point from a line is the length of the perpendicular from the point to the line ...
Page 60
... ( 119 ) ( 119 ) .. O lies in the perpendicular - bisector FI . ( 112 ) .. O is common to DG , EH , and FI ; and is equidistant from A , B , and C. Q.E.D. Ex . 222. Construct a circumference passing through the vertices 60 PLANE GEOMETRY.
... ( 119 ) ( 119 ) .. O lies in the perpendicular - bisector FI . ( 112 ) .. O is common to DG , EH , and FI ; and is equidistant from A , B , and C. Q.E.D. Ex . 222. Construct a circumference passing through the vertices 60 PLANE GEOMETRY.
Page 61
Arthur Schultze, Frank Louis Sevenoak. Ex . 222. Construct a circumference passing through the vertices of a given triangle . Ex . 223. In what kind of a triangle will the point of intersection of the perpendicular - bisectors be within ...
Arthur Schultze, Frank Louis Sevenoak. Ex . 222. Construct a circumference passing through the vertices of a given triangle . Ex . 223. In what kind of a triangle will the point of intersection of the perpendicular - bisectors be within ...
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Common terms and phrases
ABCD altitude angles are equal bisect bisector chord circumference circumscribed cone construct a triangle cylinder diagonals diagram for Prop diameter diedral angles divide draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle face angles find a point Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous hypotenuse inches inscribed intersecting isosceles triangle joining the midpoints lateral area lateral edges line joining mean proportional median opposite sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN point equidistant polyedral angle polyedron PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segments sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex
Popular passages
Page 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 150 - If, from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment.
Page 180 - Two triangles having 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.
Page 45 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Page 337 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Page 305 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes ; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.
Page 312 - The lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes of their radii. Let S, S' denote the lateral areas, T, T...
Page 149 - If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment.
Page 328 - Every section of a sphere made by a plane is a circle.
Page 257 - If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane.