Epsilon=One
10-24-2005, 09:02 PM
“Ignore”-ance and the ellipse
General "ignore"-ance
is an academic approach to
any of the myriad concepts
that may threaten the status quo.
It is particularly practiced with
the emplyment of academic,
peer review in the theoretical sciences.
(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/gbook.jpg
“Ignore”-ance and the ellipse is well documented by examining many geometry text books.
“Geometry, for Enjoyment and Challenge, New Edition,” (http://www.amazon.com/exec/obidos/tg/detail/-/0866099654/103-5404406-6635838?v=glance) by Richard Rhoad, George Milauskas, and Robert Whipple, all teachers, with seven reviewers from seven different state school districts, is a 770 page text book that is densely written on large pages.
The text book contains 16 chapters and 105 sections; there is a detailed Table of Contents, Glossary, and Index.
This large text book of 770 pages does not contain a single illustration or use of the word "ellipse."
Even more amazing, the following text book is a fine example of “ignore”-ance of the ellipse for what it only comments about the ellipse.
“Lacret Plane Geometry,” (http://www.amazon.co.uk/exec/obidos/search-handle-url/index=books-uk&field-author=Lacret-Subirat%2C%20Fabian/202-9840219-1331863) by Fabian Lacret – Subirat, is a 510 page text book, that is densely written on normal size book pages. The text book contains 17 chapters and over 100 sections, including much history, chapter reviews and chapter tests; there is a detailed Table of Contents, Table of Power and Roots, and six extensively detailed Index pages.
This very detailed text book is quite inclusive (except for the ellipse); it contains much history and background information concerning geometry.
The text has three references to an ellipse that are listed in the Index.
The Table of Contents has one mention in chapter 16 that lists a section: Ellipse; said section in chapter 16 contains two of the Index references on pages 465 and 466. The entire statements on said pages concerning the ellipse are:There are four important types of “conic sections”: the (circle)…the ellipse, the hyperbola, and the parabola. They are also classified into two groups.
......a) Geometric curves: …made by using the compass.
......b) Mechanical curves: …the ellipse…cannot be made
..........by using the compass.
The Ellipse
When a plane is oblique to the axis of the cone, the locus is an “ellipse”.
An ellipse is the locus of points in a plane, so that the sum of its distances from two fixes (sic.) points, which are called foci, is constant.
The third reference to an ellipse is on page 208. There are four short biographical paragraphs about Apollonius of Perga (www.CQthus.com/Apollonius) (262 - 200 B.C.) (sic.), in which one paragraph states: Apollonius was devoted to the study of “conic sections” and that he wrote eight books on the subject; and, that the “conic sections” are the ellipse, the parabola, the hyperbola and the circle.
One is left to wonder what could be in those eight books that is no longer taught.
It must be remembered that there was no mathematical system of numbers in those days that allowed for easy arithmetical manipulations. Geometry must have been the method of manipulation; and, I suspect it was the ellipse that provided the manipulation of large numbers with simplicity and a high degree of accuracy for the precision that was required in the construction of all the extraordinary large structures. Today we can only wonder as to how the precision was accomplished.
©Copyright 2005-2008 by Brunardot. All rights reserved.
Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.
Sorry! This Thread has not been completed.
Please Bookmark and return to this site often.
If there is an immediate need for information,
please e-mail directly at the below "Click" link.
Please note that any private correspondence
may be edited and anonymously posted unless
requested otherwise.
Every effort will be made to expedite a reply
with the requested information.Please ask questions. :)With questions it’s possible to know if
comments are logical and convincing;
or whether clarification is required......http://1.g2d.us/e.gifhttp://7.g2d.us/e.jpghttp://2.g2d.us/e.gifhttp://3.g2d.us/e.gifhttp://4.g2d.us/e.gifhttp://5.g2d.us/e.gif
..........http://6.g2d.us/e.gif
..........If images don’t display, "click" the Refresh Icon.
General "ignore"-ance
is an academic approach to
any of the myriad concepts
that may threaten the status quo.
It is particularly practiced with
the emplyment of academic,
peer review in the theoretical sciences.
(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/gbook.jpg
“Ignore”-ance and the ellipse is well documented by examining many geometry text books.
“Geometry, for Enjoyment and Challenge, New Edition,” (http://www.amazon.com/exec/obidos/tg/detail/-/0866099654/103-5404406-6635838?v=glance) by Richard Rhoad, George Milauskas, and Robert Whipple, all teachers, with seven reviewers from seven different state school districts, is a 770 page text book that is densely written on large pages.
The text book contains 16 chapters and 105 sections; there is a detailed Table of Contents, Glossary, and Index.
This large text book of 770 pages does not contain a single illustration or use of the word "ellipse."
Even more amazing, the following text book is a fine example of “ignore”-ance of the ellipse for what it only comments about the ellipse.
“Lacret Plane Geometry,” (http://www.amazon.co.uk/exec/obidos/search-handle-url/index=books-uk&field-author=Lacret-Subirat%2C%20Fabian/202-9840219-1331863) by Fabian Lacret – Subirat, is a 510 page text book, that is densely written on normal size book pages. The text book contains 17 chapters and over 100 sections, including much history, chapter reviews and chapter tests; there is a detailed Table of Contents, Table of Power and Roots, and six extensively detailed Index pages.
This very detailed text book is quite inclusive (except for the ellipse); it contains much history and background information concerning geometry.
The text has three references to an ellipse that are listed in the Index.
The Table of Contents has one mention in chapter 16 that lists a section: Ellipse; said section in chapter 16 contains two of the Index references on pages 465 and 466. The entire statements on said pages concerning the ellipse are:There are four important types of “conic sections”: the (circle)…the ellipse, the hyperbola, and the parabola. They are also classified into two groups.
......a) Geometric curves: …made by using the compass.
......b) Mechanical curves: …the ellipse…cannot be made
..........by using the compass.
The Ellipse
When a plane is oblique to the axis of the cone, the locus is an “ellipse”.
An ellipse is the locus of points in a plane, so that the sum of its distances from two fixes (sic.) points, which are called foci, is constant.
The third reference to an ellipse is on page 208. There are four short biographical paragraphs about Apollonius of Perga (www.CQthus.com/Apollonius) (262 - 200 B.C.) (sic.), in which one paragraph states: Apollonius was devoted to the study of “conic sections” and that he wrote eight books on the subject; and, that the “conic sections” are the ellipse, the parabola, the hyperbola and the circle.
One is left to wonder what could be in those eight books that is no longer taught.
It must be remembered that there was no mathematical system of numbers in those days that allowed for easy arithmetical manipulations. Geometry must have been the method of manipulation; and, I suspect it was the ellipse that provided the manipulation of large numbers with simplicity and a high degree of accuracy for the precision that was required in the construction of all the extraordinary large structures. Today we can only wonder as to how the precision was accomplished.
©Copyright 2005-2008 by Brunardot. All rights reserved.
Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.
Sorry! This Thread has not been completed.
Please Bookmark and return to this site often.
If there is an immediate need for information,
please e-mail directly at the below "Click" link.
Please note that any private correspondence
may be edited and anonymously posted unless
requested otherwise.
Every effort will be made to expedite a reply
with the requested information.Please ask questions. :)With questions it’s possible to know if
comments are logical and convincing;
or whether clarification is required......http://1.g2d.us/e.gifhttp://7.g2d.us/e.jpghttp://2.g2d.us/e.gifhttp://3.g2d.us/e.gifhttp://4.g2d.us/e.gifhttp://5.g2d.us/e.gif
..........http://6.g2d.us/e.gif
..........If images don’t display, "click" the Refresh Icon.