Plane and Solid GeometryCharles E. Merrill Company, 1911 - 546 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 45.
Σελίδα 7
... CONES 403 BOOK IX . THE SPHERE 425 NUMERICAL EXERCISES IN SOLID GEOMETRY 469 MODERN GEOMETRIC CONCEPTS . 485 HISTORY OF GEOMETRY 490 REVIEW EXERCISES IN PLANE GEOMETRY . 499 506 510 538 .. ( 7 ) REVIEW EXERCISES IN SOLID GEOMETRY ...
... CONES 403 BOOK IX . THE SPHERE 425 NUMERICAL EXERCISES IN SOLID GEOMETRY 469 MODERN GEOMETRIC CONCEPTS . 485 HISTORY OF GEOMETRY 490 REVIEW EXERCISES IN PLANE GEOMETRY . 499 506 510 538 .. ( 7 ) REVIEW EXERCISES IN SOLID GEOMETRY ...
Σελίδα 402
... pipeds . Ex . 12. Pyramids in general . Ex . 13. Regular pyramids . Ex . 14 . Frusta of pyramids . Ex . 15. Truncated prisms . BOOK VIII CYLINDERS AND CONES CYLINDERS 676. A cylindrical surface 402 BOOK VII . SOLID GEOMETRY.
... pipeds . Ex . 12. Pyramids in general . Ex . 13. Regular pyramids . Ex . 14 . Frusta of pyramids . Ex . 15. Truncated prisms . BOOK VIII CYLINDERS AND CONES CYLINDERS 676. A cylindrical surface 402 BOOK VII . SOLID GEOMETRY.
Σελίδα 403
... tude of a cylinder is the distance between the bases . Cylinder The elements of a cylinder are the elements of the cylindrical surface bounding it . ( 403 ) 679. Property of a cylinder inferred immediately . All the CYLINDERS AND CONES.
... tude of a cylinder is the distance between the bases . Cylinder The elements of a cylinder are the elements of the cylindrical surface bounding it . ( 403 ) 679. Property of a cylinder inferred immediately . All the CYLINDERS AND CONES.
Σελίδα 411
... ft . deep , how much more coment is required to line it than to line a similar cistern 6 ft . deep ? How much more water will the former cistern hold ? ( Why ? ) Q. E. D. CONES 701. A conical surface is a sur- face generated CYLINDERS 411.
... ft . deep , how much more coment is required to line it than to line a similar cistern 6 ft . deep ? How much more water will the former cistern hold ? ( Why ? ) Q. E. D. CONES 701. A conical surface is a sur- face generated CYLINDERS 411.
Σελίδα 412
... cone are the elements of the conical surface ; the altitude of a cone is the perpendicular distance from the vertex to the plane of the base . Oblique circular cone 706. A circular cone is a cone whose base is 412 BOOK VIIT . SOLID ...
... cone are the elements of the conical surface ; the altitude of a cone is the perpendicular distance from the vertex to the plane of the base . Oblique circular cone 706. A circular cone is a cone whose base is 412 BOOK VIIT . SOLID ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude base bisector bisects chord circumference circumscribed coincide cone of revolution denoted diagonal diameter dihedral angle divided equidistant equilateral triangle equivalent exterior angle figure Find the area Find the radius frustum geometric given circle given line given point Hence homologous sides hypotenuse intersect isosceles trapezoid isosceles triangle lateral area lateral edges Let the pupil line drawn measure midpoints number of sides opposite parallel lines parallelogram parallelopiped pass a plane perimeter perpendicular plane MN plane parallel polyhedron prism prismatoid produced proportional pyramid Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular polygon rhombus right angles right triangle secant segments similar slant height sphere spherical polygon spherical triangle square pyramid surface symmetrical tangent tetrahedron THEOREM trapezoid triangle ABC trihedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 241 - If two triangles have an angle of one equal to an angle of the other, and...
Σελίδα 103 - A chord is a straight line joining the extremities of an arc.
Σελίδα 54 - Every point in the bisector of an angle is equidistant from the sides of the angle. Hyp. Z DAB = Z DAC and 0 is any point in AD. To prove 0 is equidistant from AB and AC. Draw OP _L AB and OP' _L AC, and prove the equality of the two triangles.
Σελίδα 82 - The perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Σελίδα 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Σελίδα 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Σελίδα 416 - Every section of a circular cone made by a plane parallel to the base is a circle. Let the section abcd of the circular cone S-ABCD be parallel to the base. To prove that abcd is a circle.
Σελίδα 35 - The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line...
Σελίδα 193 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 450 - If two angles of a spherical triangle are equal, the sides opposite these angles are equal and the triangle is isosceles. Given the spherical triangle ABC, with angle B equal to angle C. To prove that AC = AB. Proof. Let A A'B'C ' be the polar triangle of A ABC.