Plane and Solid GeometryAmerican Book Company, 1907 - 412 σελίδες |
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Σελίδα 10
... Prisms 292 · tions 363 Preliminary Theorems . 294 Constructions 368 Theorems and Demonstra- Spherical Triangles . 370 tions 295 Preliminary Theorems . 372 Original Exercises 304 Theorems and Demonstra- Pyramids • 307 tions 373 ...
... Prisms 292 · tions 363 Preliminary Theorems . 294 Constructions 368 Theorems and Demonstra- Spherical Triangles . 370 tions 295 Preliminary Theorems . 372 Original Exercises 304 Theorems and Demonstra- Pyramids • 307 tions 373 ...
Σελίδα 291
... is a polyhedron having twenty faces . 567. A polyhedron is convex if the section made by every plane is a convex polygon . Only convex polyhedrons are considered in this book . PRISMS 568. A prism is a polyhedron two of whose. 291.
... is a polyhedron having twenty faces . 567. A polyhedron is convex if the section made by every plane is a convex polygon . Only convex polyhedrons are considered in this book . PRISMS 568. A prism is a polyhedron two of whose. 291.
Σελίδα 292
Edward Rutledge Robbins. PRISMS 568. A prism is a polyhedron two of whose opposite faces are equal polygons in parallel planes , and whose other faces are all parallelograms . The bases of a prism are the equal , parallel polygons . The ...
Edward Rutledge Robbins. PRISMS 568. A prism is a polyhedron two of whose opposite faces are equal polygons in parallel planes , and whose other faces are all parallelograms . The bases of a prism are the equal , parallel polygons . The ...
Σελίδα 293
Edward Rutledge Robbins. A right section of a prism is the section made by a plane perpendicular to the lateral edges of the prism . 570. A parallelepiped is a prism whose bases are parallelo- grams . A right parallelepiped is a ...
Edward Rutledge Robbins. A right section of a prism is the section made by a plane perpendicular to the lateral edges of the prism . 570. A parallelepiped is a prism whose bases are parallelo- grams . A right parallelepiped is a ...
Σελίδα 294
... prism are all equal ( ? ) . Any two lateral edges of a prism are parallel . 574. THEOREM . Any lateral edge of a right prism equals the altitude . ( See 524. ) 575. THEOREM . dicular to the bases . 576. THEOREM . ( Def . 569. ) 577 ...
... prism are all equal ( ? ) . Any two lateral edges of a prism are parallel . 574. THEOREM . Any lateral edge of a right prism equals the altitude . ( See 524. ) 575. THEOREM . dicular to the bases . 576. THEOREM . ( Def . 569. ) 577 ...
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Plane and Solid Geometry (Classic Reprint) Edward Rutledge Robbins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle altitude angle adjoining angles are equal apothem base bisector bisects chord circular cone circumference circumscribed circumscribed circle construct a square cylinder diagonals diameter dihedral angles equilateral triangle equivalent exterior angle face angles figure Find the area frustum given line given point given triangle Hence homologous homologous sides hypotenuse inscribed regular intersecting isosceles triangle lateral area lateral edges line joining mean proportional measured by arc median meet midpoint mutually equiangular number of sides opposite parallel parallelepiped parallelogram Pass plane perimeter perpendicular plane MN polyhedron prism Proof Prove quadrilateral ratio rectangle regular hexagon regular polygon regular pyramid rhombus right angles right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle straight line surface tangent tetrahedron THEOREM total area trapezoid trihedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 139 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.
Σελίδα 228 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.
Σελίδα 41 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 47 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Σελίδα 241 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex.
Σελίδα 146 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 12 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.
Σελίδα 143 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 268 - If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and...
Σελίδα 340 - The lateral area of a circular cylinder is equal to the product of the perimeter of a right section of the cylinder by an element. Let S denote the lateral area, P the perimeter of a right section, and E an element of the cylinder AC.