A sequel to the first six books of the Elements of Euclid, containing an easy introduction to modern geometry, with numerous examples. By John Casey.
CONTENTS. xix PAGE Pole and polar of harmonic polygons,... 211 Harmonic polygons, cosine circles of,.. 216,, Lemoine's circle of,... 216, Brocard points of,... 218,, double points of,... 218, invariable points of,... 218 Tarry's property of double points of harmonic polygons,.... 219 Properties of centres of similitude of harmonic polygon,.... 220 SECTION VII. General Theory of Associated Figures,.. 223 Associated figures defined,..... 223 Invariable points of associated figures,... 223 Centres of similitude of associated figures,.. 224 Properties of invariable points,. 224 Properties of centres of similitude,... 224 Perspective centre defined,..... 225 Locus of centre of similitude of two polygons, each formed by a system of homologous lines,.. 225 Tarry's line defined,...... 225 Properties of Tarry's line,..... 226 Brocard angles of Tarry's line,.. 226 Construction of Tarry's line,. 226 If the Brocard angles be equal, Tarry's line becomes a harmonic polygon,...... 227 If they be unequal, Tarry's line is not a closed polygon,...... 228 Exercises,...... 228 Miscellaneous Exercises,.... 230 Longchamps' circle,..... 247
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About this Item
- Title
- A sequel to the first six books of the Elements of Euclid, containing an easy introduction to modern geometry, with numerous examples. By John Casey.
- Author
- Casey, John, 1820-1891.
- Canvas
- Page XVIII - Table of Contents
- Publication
- Dublin,: Hodges, Figgis & co.; [etc., etc.]
- 1888.
- Subject terms
- Geometry
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"A sequel to the first six books of the Elements of Euclid, containing an easy introduction to modern geometry, with numerous examples. By John Casey." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/acv1576.0001.001. University of Michigan Library Digital Collections. Accessed May 24, 2025.