Circles, a Mathematical ViewDover Publications, 1979 - 87 σελίδες |
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Αποτελέσματα 1 - 3 από τα 7.
Σελίδα 73
... Inscribe in K a polygon whose vertices follow each other in the correct cyclic order . If the least upper bound L of the perimeters 4 of all these inscribed polygons is finite , we say that K is rectifi- able , and L is its perimeter ...
... Inscribe in K a polygon whose vertices follow each other in the correct cyclic order . If the least upper bound L of the perimeters 4 of all these inscribed polygons is finite , we say that K is rectifi- able , and L is its perimeter ...
Σελίδα 74
... inscribed in K whose length ' satisfies the inequality = ... 9 L - A ' < € / 2 . Let A To , T1 ,. TB B be the ... inscribe in K a path V for which then , between two consecutive vertices T - 1 , T of V ' there is at least one vertex T ...
... inscribed in K whose length ' satisfies the inequality = ... 9 L - A ' < € / 2 . Let A To , T1 ,. TB B be the ... inscribe in K a path V for which then , between two consecutive vertices T - 1 , T of V ' there is at least one vertex T ...
Σελίδα 76
... inscribe in K a polygon A = corresponding to parametric values a = to < t1 < · · · < tn = b . The area of this polygon is ... inscribed in K. Since [ { x ( tx ) — x ( tx_1 ) } 2 + { y ( tx ) − y ( tx_1 ) } ? ] * - x ( tx ) - x ( tx_1 ) ...
... inscribe in K a polygon A = corresponding to parametric values a = to < t1 < · · · < tn = b . The area of this polygon is ... inscribed in K. Since [ { x ( tx ) — x ( tx_1 ) } 2 + { y ( tx ) − y ( tx_1 ) } ? ] * - x ( tx ) - x ( tx_1 ) ...
Περιεχόμενα
CHAPTER | 1 |
Coaxal systems of circles | 15 |
Problem of Apollonius | 21 |
Πνευματικά δικαιώματα | |
23 άλλες ενότητες δεν εμφανίζονται
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ab,cd angle argument C₁ centre of inversion centre of similitude chapter circle centre circle of inversion circle orthogonal circle touches circle-tangential equation closed curve coaxal system determined complex numbers concentric circles concyclic conic system continuous function cross-ratio D[ab equal equilateral polygon Euclidean geometry excircles find the inverse fixed point given point h-point Hence inscribed intersecting type K₁ least upper bound limiting points line of centres locus M-transformation which maps midpoint Möbius transformation modulus nine-point circle non-Euclidean geometry obtain OX.OX Oxy-plane pairs parallel axiom passes perimeter perpendicular plane Oxy point of contact point of intersection point-circle polar plane problem of Apollonius proof prove quadric cone quartic curve radical axis radii radius ratio respect sa,bc solution straight line system of circles T₁ theorem three circles three given circles triangle ABC unique circle w-arc w-triangle x(tx