The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 288
... by their altitudes . Ex . 14. Find the lateral area and volume of a regular hexagonal prism , each side of whose base is 3 , and whose altitude is 9 . PYRAMIDS . DEFINITIONS . 502. A pyramid is a polyedron 288 SOLID GEOMETRY . — BOOK VII .
... by their altitudes . Ex . 14. Find the lateral area and volume of a regular hexagonal prism , each side of whose base is 3 , and whose altitude is 9 . PYRAMIDS . DEFINITIONS . 502. A pyramid is a polyedron 288 SOLID GEOMETRY . — BOOK VII .
Σελίδα 289
Webster Wells. PYRAMIDS . DEFINITIONS . 502. A pyramid is a polyedron bounded by a polygon , called the base , and a series of triangles having a common vertex . The common vertex of the triangular faces is called the vertex of the pyramid ...
Webster Wells. PYRAMIDS . DEFINITIONS . 502. A pyramid is a polyedron bounded by a polygon , called the base , and a series of triangles having a common vertex . The common vertex of the triangular faces is called the vertex of the pyramid ...
Σελίδα 290
... pyramid is the altitude of any lateral face . Or , it is the line drawn from the vertex of the pyramid to the middle point of any side of the base . PROP . XV . THEOREM . ( § 94 , I ) 509. The lateral faces of a frustum of a regular pyramid ...
... pyramid is the altitude of any lateral face . Or , it is the line drawn from the vertex of the pyramid to the middle point of any side of the base . PROP . XV . THEOREM . ( § 94 , I ) 509. The lateral faces of a frustum of a regular pyramid ...
Σελίδα 291
... pyramid are equal . 511. Def . The slant height of a frustum of a regular pyramid is the altitude of any lateral face . PROP . XVI . THEOREM . 512. The lateral area of a regular pyramid is equal to the perimeter of its base multiplied ...
... pyramid are equal . 511. Def . The slant height of a frustum of a regular pyramid is the altitude of any lateral face . PROP . XVI . THEOREM . 512. The lateral area of a regular pyramid is equal to the perimeter of its base multiplied ...
Σελίδα 292
... pyramid be cut by a plane parallel to its base , 1. The lateral edges and the altitude are divided propor- tionally . II . The section is similar to the base . M B ' N B Given plane A'C ' to base of pyramid O - ABCD , cutting faces OAB ...
... pyramid be cut by a plane parallel to its base , 1. The lateral edges and the altitude are divided propor- tionally . II . The section is similar to the base . M B ' N B Given plane A'C ' to base of pyramid O - ABCD , cutting faces OAB ...
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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.