Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 12.
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 = PX R. Draw CA , CB , CS ...
... 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 = PX R. Draw CA , CB , CS ...
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 . The AO B , BO C , etc. , are equal , equal arcs subtend equal ( in the same - 4 rt ...
... 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 . The AO B , BO C , etc. , are equal , equal arcs subtend equal ( in the same - 4 rt ...
Σελίδα 214
... circumscribed cir- cles , and , also as the radii of their inscribed circles . A E m B A 0 FI B ' E D ' m Let 0 and O ' be the centres of the two similar regu- lar polygons ABC , etc. , and A'B'C ' , etc. From O and O ' draw OE , OD , O ...
... circumscribed cir- cles , and , also as the radii of their inscribed circles . A E m B A 0 FI B ' E D ' m Let 0 and O ' be the centres of the two similar regu- lar polygons ABC , etc. , and A'B'C ' , etc. From O and O ' draw OE , OD , O ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices