Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα 13
... centre , at any distance from that centre . 48. SYMBOLS AND ABBREVIATIONS . ON PERPENDICULAR AND BLIQUE LINES A ¢ 13 DEFINITIONS .
... centre , at any distance from that centre . 48. SYMBOLS AND ABBREVIATIONS . ON PERPENDICULAR AND BLIQUE LINES A ¢ 13 DEFINITIONS .
Σελίδα 73
... Centre . 161. DEF . The Circumference of a circle is the line which bounds the circle . 162. DEF . A Radius of a circle is any straight line drawn from the centre to the circumference , as O A , Fig . 1 . 163. DEF . A Diameter of a ...
... Centre . 161. DEF . The Circumference of a circle is the line which bounds the circle . 162. DEF . A Radius of a circle is any straight line drawn from the centre to the circumference , as O A , Fig . 1 . 163. DEF . A Diameter of a ...
Σελίδα 75
... centres coincide their circumferences will coincide , since all the points of both are at the same distance from the centre . 176. Every diameter bisects the circle and its circumference . For if we fold over the segment AMB on A B as ...
... centres coincide their circumferences will coincide , since all the points of both are at the same distance from the centre . 176. Every diameter bisects the circle and its circumference . For if we fold over the segment AMB on A B as ...
Σελίδα 76
... centre of the O , draw the radii O H , OP , and O K. Then OH , OP , and O K are equal , ( being radii of the same circle ) . § 163 .. if HK could intersect the circumference in three points , we should have three equal straight lines OH ...
... centre of the O , draw the radii O H , OP , and O K. Then OH , OP , and O K are equal , ( being radii of the same circle ) . § 163 .. if HK could intersect the circumference in three points , we should have three equal straight lines OH ...
Σελίδα 77
... centre intercept equal arcs on the circumference . R S R B A BI P PI In the equal circles ABP and A'B'P ' let 20 = 20 ' . = arc R ' S ' . We are to prove arc RS = Apply O ABP to O A'B ' P ' , so that shall coincide with O ' . The point ...
... centre intercept equal arcs on the circumference . R S R B A BI P PI In the equal circles ABP and A'B'P ' let 20 = 20 ' . = arc R ' S ' . We are to prove arc RS = Apply O ABP to O A'B ' P ' , so that shall coincide with O ' . The point ...
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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