Elements of GeometryHarper & brothers, 1896 - 540 sider |
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Side vi
... PYRAMIDS 308 SIMILAR POLYEDRONS . REGULAR POLYEDRONS GENERAL THEOREMS ON POLYEDRONS 326 335 345 PROBLEMS OF DEMONSTRATION PROBLEMS OF CONSTRUCTION . PROBLEMS FOR COMPUTATION 348 350 351 BOOK VIII THE CYLINDER 353 THE CONE . 360 THE ...
... PYRAMIDS 308 SIMILAR POLYEDRONS . REGULAR POLYEDRONS GENERAL THEOREMS ON POLYEDRONS 326 335 345 PROBLEMS OF DEMONSTRATION PROBLEMS OF CONSTRUCTION . PROBLEMS FOR COMPUTATION 348 350 351 BOOK VIII THE CYLINDER 353 THE CONE . 360 THE ...
Side 305
... rectangular and oblique parallelopipeds are each equivalent to the right parallelopiped , and therefore to each other . 8658 K M C B M ' D ' C '. vol . FH ' F'E'H'G ' x h . the triangular pyramid S - ABC . BOOK VII 305.
... rectangular and oblique parallelopipeds are each equivalent to the right parallelopiped , and therefore to each other . 8658 K M C B M ' D ' C '. vol . FH ' F'E'H'G ' x h . the triangular pyramid S - ABC . BOOK VII 305.
Side 308
... is the base ; O is the vertex ; OA , OB , etc. , are the lateral edges ; and 04B , OBC , etc. , are the lateral faces of the pyramid O - ABCDE . 682. Defs . - A regular pyramid is a pyramid. 308 GEOMETRY OF SPACE PYRAMIDS.
... is the base ; O is the vertex ; OA , OB , etc. , are the lateral edges ; and 04B , OBC , etc. , are the lateral faces of the pyramid O - ABCDE . 682. Defs . - A regular pyramid is a pyramid. 308 GEOMETRY OF SPACE PYRAMIDS.
Side 310
... pyramid is the sum of the areas of its lateral faces . PROPOSITION XVI . THEOREM 688. The lateral area of a regular pyramid is equal to one- half the product of the perimeter of its base and its slant height . E O E GIVEN the regular ...
... pyramid is the sum of the areas of its lateral faces . PROPOSITION XVI . THEOREM 688. The lateral area of a regular pyramid is equal to one- half the product of the perimeter of its base and its slant height . E O E GIVEN the regular ...
Side 311
... pyramid , are called the bases of the truncated pyramid . The other faces are the lateral faces of the truncated pyramid . 690. Def . - A frustum of a pyramid is a truncated pyramid , the planes of whose bases are parallel . PROPOSITION ...
... pyramid , are called the bases of the truncated pyramid . The other faces are the lateral faces of the truncated pyramid . 690. Def . - A frustum of a pyramid is a truncated pyramid , the planes of whose bases are parallel . PROPOSITION ...
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Vanlige uttrykk og setninger
ABCD allel altitude angles are equal apothem base and altitude bisecting bisector centre chord circumference circumscribed coincide cone conical surface construct cylinder Def.-The Defs.-A diagonals diameter diedral angles distance divided draw drawn equilateral triangle equivalent Exercise.-The face angles figure Find the area frustum given line given point given straight line GIVEN TO PROVE given triangle Hence homologous homologous sides hypotenuse intersection lateral area lateral edges lateral faces locus measured by arc middle points number of sides parallel planes parallelogram parallelopiped pass a plane perimeter PLANE GEOMETRY plane MN polyedral angle polyedron prismatic surface Q. E. D. PROPOSITION quadrilateral radii radius ratio of similitude rectangle regular polygon right angles right triangle segment similar slant height sphere spherical polygon square surface symmetrical tangent tetraedron THEOREM triangle ABC triangles are equal triangular prism triedral vertex vertices volume
Populære avsnitt
Side 180 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Side 5 - If of three quantities the first is greater than the second and the second greater than the third, then the first is greater than the third.
Side 434 - The area of a zone is equal to the product of its altitude by the circumference of a great circle.
Side 393 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Side 185 - To construct a square equivalent to the sum of any number of given squares.
Side 390 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Side 67 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Side 70 - The three medians of any triangle intersect in a common point which is two-thirds of the distance from each vertex to the middle of the opposite side.
Side 476 - The area of any regular polygon inscribed in a circle is a mean proportional between the areas of the inscribed and circumscribed polygons of half the number of sides.
Side 71 - The perpendiculars from the vertices of a triangle to the opposite sides meet in a point.