An Elementary Geometry: Plane, Solid and Spherical1880 - 240 σελίδες |
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Σελίδα
... circle , and the volume of the rectangular parallelopiped and the sphere , a method different from that in the smaller work has been adopted as better for the class of learners for whom this work is designed . The direct method of proof ...
... circle , and the volume of the rectangular parallelopiped and the sphere , a method different from that in the smaller work has been adopted as better for the class of learners for whom this work is designed . The direct method of proof ...
Σελίδα
... CIRCLE 75 Practical Questions 101 Exercises . 102 BOOK IV . MAXIMA AND MINIMA OF PLANE FIGURES - ISOPERIMETRICAL POLYGONS Exercises BOOK V. PROBLEMS OF CONSTRUCTION • Exercises BOOK VI . GEOMETRY OF SPACE . Planes and their Angles ...
... CIRCLE 75 Practical Questions 101 Exercises . 102 BOOK IV . MAXIMA AND MINIMA OF PLANE FIGURES - ISOPERIMETRICAL POLYGONS Exercises BOOK V. PROBLEMS OF CONSTRUCTION • Exercises BOOK VI . GEOMETRY OF SPACE . Planes and their Angles ...
Σελίδα 74
... from the vertex of the right angle . 129. The side of a square is to its diagonal as 1 : 2 ; or the square described on the diagonal of a square is double the square itself . BOOK III . THE CIRCLE . DEFINITIONS . 1. A 74 PLANE GEOMETRY .
... from the vertex of the right angle . 129. The side of a square is to its diagonal as 1 : 2 ; or the square described on the diagonal of a square is double the square itself . BOOK III . THE CIRCLE . DEFINITIONS . 1. A 74 PLANE GEOMETRY .
Σελίδα 75
... circle is a chord passing through the centre ; as A D. B F E G D C 5. The Radius of a circle is a line drawn from the centre to the circumference ; as CD . 6. Corollary . The radii of a circle , or of equal circles , are equal ; also ...
... circle is a chord passing through the centre ; as A D. B F E G D C 5. The Radius of a circle is a line drawn from the centre to the circumference ; as CD . 6. Corollary . The radii of a circle , or of equal circles , are equal ; also ...
Σελίδα 76
... circle ; as G E. A secant is generally considered as terminating at one end where it meets the concave circumference , and at the other where it meets another secant or a tangent . THEOREM I. 11. In the same circle , or equal circles ...
... circle ; as G E. A secant is generally considered as terminating at one end where it meets the concave circumference , and at the other where it meets another secant or a tangent . THEOREM I. 11. In the same circle , or equal circles ...
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An Elementary Geometry: Plane, Solid and Spherical William Frothingham Bradbury Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B D altitude angles are equal apothem arcs A B centre chord circle circumference circumscribed cone construct the triangle convex surface Corollary diagonals diameter diedral angles distance divided draw equally distant equivalent bases face angles feet frustum given angle given line given point hence homologous homologous lines hypothenuse inscribed intersection isosceles triangle lines bisecting locus medial line middle points mutually equiangular number of sides opposite sides parallelogram parallelopiped perimeter perpendicular plane M N polar triangle polyedral angle polyedrons produced proposition quadrilateral radius ratio rectangle rectangular parallelopiped regular polygon respectively equal right prism right triangle Scholium similar slant height sphere spherical angle spherical polygon spherical triangle square straight line tangent tetraedrons THEOREM triangle A B C triangle is equal triangular prism triedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 166 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 13 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Σελίδα 41 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Σελίδα 198 - Each side of a spherical triangle is less than the sum of the other two sides.
Σελίδα 75 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 203 - In an isosceles spherical triangle, the angles opposite the equal sides are equal. In the spherical triangle ABC, let AB equal AC.
Σελίδα 220 - If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles.
Σελίδα 136 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 199 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.
Σελίδα 162 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. GM is a right section of oblique prism AD', and GM.' a right prism whose altitude is equal to a lateral edge of AD'. To prove AD' =0= GM'. Proof. The lateral edges of GM