Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 10.
Σελίδα 74
... Circumscribed about a circle when all the sides of the polygon are tangents to the circle , as in Fig . 4 . A circle is circumscribed about a polygon when the circumfer- ence passes through all the vertices of the polygon , as in Fig ...
... Circumscribed about a circle when all the sides of the polygon are tangents to the circle , as in Fig . 4 . A circle is circumscribed about a polygon when the circumfer- ence passes through all the vertices of the polygon , as in Fig ...
Σελίδα 121
... serves to describe a circumference which shall pass through the three vertices of a triangle , that is , to circumscribe a circle about a given triangle . PROPOSITION XXXIX . PROBLEM . 240. Through a given point CONSTRUCTIONS . 121.
... serves to describe a circumference which shall pass through the three vertices of a triangle , that is , to circumscribe a circle about a given triangle . PROPOSITION XXXIX . PROBLEM . 240. Through a given point CONSTRUCTIONS . 121.
Σελίδα 182
... circumscribed polygon , and C the centre of the inscribed circle . Denote the perimeter of the polygon by P , and the radius of the inscribed circle by R. We are to prove the area of the circumscribed polygon = | P × R. Draw CA , CB ...
... circumscribed polygon , and C the centre of the inscribed circle . Denote the perimeter of the polygon by P , and the radius of the inscribed circle by R. We are to prove the area of the circumscribed polygon = | P × R. Draw CA , CB ...
Σελίδα 212
... circumscribed circle . 368. DEF . The Apothem of a regular polygon is the radius Os of the inscribed circle . 369 ... Circumscribe a O about the polygon . O The AOB , BO C , etc. , are equal , ( in the same equal arcs subtend equal $ 180 ...
... circumscribed circle . 368. DEF . The Apothem of a regular polygon is the radius Os of the inscribed circle . 369 ... Circumscribe a O about the polygon . O The AOB , BO C , etc. , are equal , ( in the same equal arcs subtend equal $ 180 ...
Σελίδα 215
... circumscribed circles , and , also as the radii of their inscribed circles . F A B m C A ' B ' m / Let P and P ' represent the perimeters of the two similar regular polygons ABC , etc. , and A'B'C ' , etc. From centres O , O ' draw O E ...
... circumscribed circles , and , also as the radii of their inscribed circles . F A B m C A ' B ' m / Let P and P ' represent the perimeters of the two similar regular polygons ABC , etc. , and A'B'C ' , etc. From centres O , O ' draw O E ...
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.