Plane and Solid GeometryCharles E. Merrill Company, 1911 - 546 σελίδες |
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Σελίδα 7
... CYLINDERS AND 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 ...
... CYLINDERS AND 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 ...
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
Fletcher Durell. BOOK VIII CYLINDERS AND CONES CYLINDERS 676. A cylindrical surface is a curved surface generated by a straight line which moves so as constantly to touch a given ... cylinder inferred immediately . All the CYLINDERS AND ...
Fletcher Durell. BOOK VIII CYLINDERS AND CONES CYLINDERS 676. A cylindrical surface is a curved surface generated by a straight line which moves so as constantly to touch a given ... cylinder inferred immediately . All the CYLINDERS AND ...
Σελίδα 404
... cylinder are equal , for they are parallel lines included between parallel planes ( Arts . 532 , 676 ) . The ... cylinder is a cylinder whose elements are perpendicular to the bases . 681. An oblique cylinder is one whose elements are ...
... cylinder are equal , for they are parallel lines included between parallel planes ( Arts . 532 , 676 ) . The ... cylinder is a cylinder whose elements are perpendicular to the bases . 681. An oblique cylinder is one whose elements are ...
Σελίδα 405
... cylinder , and whose bases are polygons inscribed in the bases of the cylinder . Inscribed prism Circumscribed prism 687. A prism circumscribed about a cylinder is a prism whose lateral faces are tangent to ... cylinder made CYLINDERS 405.
... cylinder , and whose bases are polygons inscribed in the bases of the cylinder . Inscribed prism Circumscribed prism 687. A prism circumscribed about a cylinder is a prism whose lateral faces are tangent to ... cylinder made CYLINDERS 405.
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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.