The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 37.
Σελίδα 273
... ( § 474 ) whose edge is some linear unit ; for example , a cubic inch or a cubic foot . 465. Two solids are said to be equivalent when their vol- umes are equal . PRISMS AND PARALLELOPIPEDS . DEFINITIONS . 466. A prism is 273 POLYEDRONS.
... ( § 474 ) whose edge is some linear unit ; for example , a cubic inch or a cubic foot . 465. Two solids are said to be equivalent when their vol- umes are equal . PRISMS AND PARALLELOPIPEDS . DEFINITIONS . 466. A prism is 273 POLYEDRONS.
Σελίδα 274
Webster Wells. PRISMS AND PARALLELOPIPEDS . DEFINITIONS . 466. A prism is a polyedron , two of whose faces are equal polygons lying in parallel planes , having their homologous sides parallel , the other faces being parallelograms ...
Webster Wells. PRISMS AND PARALLELOPIPEDS . DEFINITIONS . 466. A prism is a polyedron , two of whose faces are equal polygons lying in parallel planes , having their homologous sides parallel , the other faces being parallelograms ...
Σελίδα 275
... prism whose bases are parallelograms ; that is , all the faces are parallelograms . A right parallelopiped is a parallelopiped whose lateral edges are perpendicular to its bases . A ... prism made by PRISMS AND PARALLELOPIPEDS . 275.
... prism whose bases are parallelograms ; that is , all the faces are parallelograms . A right parallelopiped is a parallelopiped whose lateral edges are perpendicular to its bases . A ... prism made by PRISMS AND PARALLELOPIPEDS . 275.
Σελίδα 276
... prism AH prism A'H ' . = Proof . We have EAB , EAF , and FAB equal respec- tively to E'A'B ' , E'A'F ' , and F'A'B ' . Z ( § 66 ) .. triedral A - BEF = triedral A ' - B'E'F " . ( § 460 , 1 ) Then , prism A'H ' may be applied to prism AH ...
... prism AH prism A'H ' . = Proof . We have EAB , EAF , and FAB equal respec- tively to E'A'B ' , E'A'F ' , and F'A'B ' . Z ( § 66 ) .. triedral A - BEF = triedral A ' - B'E'F " . ( § 460 , 1 ) Then , prism A'H ' may be applied to prism AH ...
Σελίδα 277
... prism is equivalent to a right prism , hav- ing for its base a right section of the oblique prism , and for its altitude a lateral edge of the oblique prism . F G ' E ' A D ' B ' F G K E H D B Given FK ' a right prism , having for its ...
... prism is equivalent to a right prism , hav- ing for its base a right section of the oblique prism , and for its altitude a lateral edge of the oblique prism . F G ' E ' A D ' B ' F G K E H D B Given FK ' a right prism , having for its ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line equal respectively equally distant equilateral equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism Prove pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 58 - 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.
Σελίδα 322 - A right circular cylinder may be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 202 - The circumferences of two circles are to each other as their radii. Given C and C" the circumferences of two © whose radii are R and R', respectively.