Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Σελίδα 209
... polygon re- quired , homologous to A B. For CD CH : CE CY , § 275 ( a line drawn through two sides of a △ , || to the third side , divides the two sides proportionally ) ... REGULAR POLYGONS AND CIRCLES . 363. DEF . CONSTRUCTIONS . 209 10.
... polygon re- quired , homologous to A B. For CD CH : CE CY , § 275 ( a line drawn through two sides of a △ , || to the third side , divides the two sides proportionally ) ... REGULAR POLYGONS AND CIRCLES . 363. DEF . CONSTRUCTIONS . 209 10.
Σελίδα 210
George Albert Wentworth. BOOK V. REGULAR POLYGONS AND CIRCLES . 363. DEF . A Regular Polygon is a polygon which is equilateral and equiangular . PROPOSITION I. THEOREM . 364. Every equilateral polygon inscribed in a circle is a regular ...
George Albert Wentworth. BOOK V. REGULAR POLYGONS AND CIRCLES . 363. DEF . A Regular Polygon is a polygon which is equilateral and equiangular . PROPOSITION I. THEOREM . 364. Every equilateral polygon inscribed in a circle is a regular ...
Σελίδα 212
... 4 rt . of the polygon . But the number of Q. E. D. 371. COROLLARY . The radius drawn to any vertex of a regular polygon bisects the angle at that vertex . PROPOSITION IV . THEOREM . 372. Two regular polygons of 212 GEOMETRY . BOOK V.
... 4 rt . of the polygon . But the number of Q. E. D. 371. COROLLARY . The radius drawn to any vertex of a regular polygon bisects the angle at that vertex . PROPOSITION IV . THEOREM . 372. Two regular polygons of 212 GEOMETRY . BOOK V.
Σελίδα 213
George Albert Wentworth. PROPOSITION IV . THEOREM . 372. Two regular polygons of the same number of sides are similar . E F Q B E D ' F Q ' CI B ' Let Q and Q ' be two regular polygons , each having n sides . We are to prove Q and Q ...
George Albert Wentworth. PROPOSITION IV . THEOREM . 372. Two regular polygons of the same number of sides are similar . E F Q B E D ' F Q ' CI B ' Let Q and Q ' be two regular polygons , each having n sides . We are to prove Q and Q ...
Σελίδα 218
... regular inscribed poly- gon be increased indefinitely , the apothem will be an increas- ing variable whose limit is ... polygon indefi- nitely , AB , that is , 2b , can be made less than any assigned quantity . ..b , the half of 2b , can ...
... regular inscribed poly- gon be increased indefinitely , the apothem will be an increas- ing variable whose limit is ... polygon indefi- nitely , AB , that is , 2b , can be made less than any assigned quantity . ..b , the half of 2b , can ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - 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 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.