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1
Geometry: A Comprehensive Course
The reason for this terminology will be clearer when we represent coaxal systems
by lines in space of three dimensions (§37.2). A special case of such systems is
afforded by the usual grid system X = k, Y = k'. One line of each of the families of ...
2
Circles: A Mathematical View
Further properties If we try to find the circles of the coaxal system a;2 + i/2 + 2Aa;
+ c= 0 which pass through P(x',y'), we see that A~ W ' that is, there is a unique
value of the parameter which determines the circle. Hence one circle of a coaxal
...
3
An Elementary Treatise on Modern Pure Geometry
If a straight line cut any two circles of a coaxal system in the points P, Q; P, Q' ;
respectively, and the radical axis in the point O, show that PP and QQ' will
subtend equal or supplementary angles at any point of the circle, whose centre is
O, ...
4
CRC Concise Encyclopedia of Mathematics, Second Edition
Coaxal Circles CIRCLES which share a RADICAL LINE with a given circle are
said to be coaxal. The centers of coaxal circles are COLLINEAR, and the
collection of all coaxal circles is called a pencil of coaxal circles (Coxeter and
Greitzer ...
5
College Geometry: An Introduction to the Modern Geometry of ...
Draw a circle tangent to a given line and belonging to a given coaxal pencil of
circles. . From the point of intersection M of the given line s with the radical axis r
of the pencil draw a tangent MT to any circle, say (A), of the pencil, and on s layoff
...
Nathan Altshiller-Court, 2012
6
Chapters on the Modern Geometry of the Point, Line and Circle: 1
For coaxal systems in general, whatever be their species, it is evident, from 001's.
1°, 3°, 4°, 5°, Art. 182, that— 1°. The tangents, real or imaginary, to all the circles
of a coaxal system from any point on their radical axis are equal; and, ...
7
Euclid's Elements of Geometry: Books I-IV, VI and XI
Coaxal circles invert into coaxal circles. [When the coaxal system has two real
common points, it is at once obvious that their inverses have two real common
points, and are therefore coaxal. The following proof applies to both types of
coaxal ...
Euclid, Charles Smith, Sophie Willock Bryant, 1901
8
Chapters on the Modern Geometry of the Point, Line, and ...
For coaxal systems in general, whatever bo their species, it is evident, from Cors.
1°, 3°, 4", 5°, Art. 182, that — 1°. The tangents, real or imaginary, to all the circles
of a coaxal system from any point on their radical axis are equal ; and, ...
Definition A coaxal family of circles in the plane is a family of (generalized) circles
of one of the following types: 1. an Apollonian family, with particular point circles;
2. a family that intersect at one particular point; 3. a family that intersect at two ...
David A. Brannan, Matthew F. Esplen, Jeremy J. Gray, 2011
Theorem 43. Of two orthogonal systems of coaxal circles, one system is of the
intersecting type and the other of the non-intersecting type, and the limiting points
of the latter are the common points of the former. Suppose that a system (A) of ...
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «COAXAL»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
coaxal w wiadomościach.
Netsys HPNA/HCNA adapter review
Over the coaxal cable the HPNA protocol supports speeds of up to 200Mbps, so the 100Mbps fast Ethernet ports are in effect a bottleneck in the ... «Geekzone, Maj 12»
