Plane and Solid GeometryMacmillan, 1901 - 370 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα xi
... Circle . Constructions . 73 Book III . Proportion . Similar Polygons 118 Book IV . Areas of Polygons 164 Book V. Regular Polygons . Measurement of the Circle 194 APPENDIX TO PLANE GEOMETRY Algebraic Solutions of Geometrical Propositions ...
... Circle . Constructions . 73 Book III . Proportion . Similar Polygons 118 Book IV . Areas of Polygons 164 Book V. Regular Polygons . Measurement of the Circle 194 APPENDIX TO PLANE GEOMETRY Algebraic Solutions of Geometrical Propositions ...
Σελίδα xii
... circle . • Is • · lls • • ~ L 4 A · S • S Q.E.D. Q.E.F. circles . • • • quod erat demonstrandum ( which was to be proved ) . quod erat faciendum ( which was to be done ) . GEOMETRY INTRODUCTION 1. A physical body , such as a.
... circle . • Is • · lls • • ~ L 4 A · S • S Q.E.D. Q.E.F. circles . • • • quod erat demonstrandum ( which was to be proved ) . quod erat faciendum ( which was to be done ) . GEOMETRY INTRODUCTION 1. A physical body , such as a.
Σελίδα 33
... circle D " or " the O ABC . " A D A radius is any straight line drawn from the center to the circumference . An arc ... circles intersect in A and B , a line joining their centers bisects AB in E. D A E B Ex . 135. If on the sides of an ...
... circle D " or " the O ABC . " A D A radius is any straight line drawn from the center to the circumference . An arc ... circles intersect in A and B , a line joining their centers bisects AB in E. D A E B Ex . 135. If on the sides of an ...
Σελίδα 73
Arthur Schultze, Frank Louis Sevenoak. BOOK II THE CIRCLE . CONSTRUCTIONS DEFINITIONS 163. A circumference is a curved line all points of which are equidistant from a point within called the center . A circle is a portion of a plane ...
Arthur Schultze, Frank Louis Sevenoak. BOOK II THE CIRCLE . CONSTRUCTIONS DEFINITIONS 163. A circumference is a curved line all points of which are equidistant from a point within called the center . A circle is a portion of a plane ...
Σελίδα 74
... circle are equal . 172. Two circles are equal if their radii are equal . ( Prove by superposition . ) 173. A diameter bisects a circle and its circumference . ( Prove by superposition . ) Ex . 293. The radii of two concentric circles ...
... circle are equal . 172. Two circles are equal if their radii are equal . ( Prove by superposition . ) 173. A diameter bisects a circle and its circumference . ( Prove by superposition . ) Ex . 293. The radii of two concentric circles ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal bisect bisector chord circumference circumscribed cone construct a triangle cylinder diagonals diagram for Prop diameter diedral angles divide draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle face angles find a point Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous hypotenuse inches inscribed intersecting isosceles triangle joining the midpoints lateral area lateral edges line joining mean proportional median opposite sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN point equidistant polyedral angle polyedron PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segments sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 150 - If, from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment.
Σελίδα 180 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 45 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 337 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Σελίδα 305 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes ; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.
Σελίδα 312 - The lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes of their radii. Let S, S' denote the lateral areas, T, T...
Σελίδα 149 - If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment.
Σελίδα 328 - Every section of a sphere made by a plane is a circle.
Σελίδα 257 - If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane.