Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα 73
... 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 . 161. DEF . The Circumference of a circle is the line which bounds the circle . 162. DEF . A Radius of 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 . 161. DEF . The Circumference of a circle is the line which bounds the circle . 162. DEF . A Radius of a ...
Σελίδα 78
... equal arcs subtend equal angles at the centre . R S A B A R SI BI P P In the equal circles ABP and A'B ' P ' let arc RS = arc R ' S ' . We are to prove ROS △ R ' O ' S ' . Apply OABP to OA'B ' P ' , so that the radius ... equal to , △ R ...
... equal arcs subtend equal angles at the centre . R S A B A R SI BI P P In the equal circles ABP and A'B ' P ' let arc RS = arc R ' S ' . We are to prove ROS △ R ' O ' S ' . Apply OABP to OA'B ' P ' , so that the radius ... equal to , △ R ...
Σελίδα 81
... radius CS be per- pendicular to AB at the point M. We are to prove AM : = BM , and arc AS = arc B S. Draw CA and C B. CA C B , ( being radii of the same O ) ; ..A ACB is isosceles , ( the opposite sides being equal ) ... equal at the centre ...
... radius CS be per- pendicular to AB at the point M. We are to prove AM : = BM , and arc AS = arc B S. Draw CA and C B. CA C B , ( being radii of the same O ) ; ..A ACB is isosceles , ( the opposite sides being equal ) ... equal at the centre ...
Σελίδα 103
... radius equal to n , describe an arc . From B as a centre , with a radius equal to o , describe an arc intersecting the former arc at C. C is the required point . Q. E. F. ... distance from A to B equal n + CONSTRUCTIONS . 103 CONSTRUCTIONS.
... radius equal to n , describe an arc . From B as a centre , with a radius equal to o , describe an arc intersecting the former arc at C. C is the required point . Q. E. F. ... distance from A to B equal n + CONSTRUCTIONS . 103 CONSTRUCTIONS.
Σελίδα 104
... radius equal to n , describe an arc ; A and from B as a centre , with a radius equal to o , describe an arc . These arcs will touch each other at C , and will not intersect . n 0 .. C is the only point which can be found . · B 218 ...
... radius equal to n , describe an arc ; A and from B as a centre , with a radius equal to o , describe an arc . These arcs will touch each other at C , and will not intersect . n 0 .. C is the only point which can be found . · B 218 ...
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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