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Lemniscate Other Equations

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What is hypnotic trance? Does it provide unusual physical or mental capacities?
2.1 'Trance;' descriptive or misleading? Most of the classical notions of hypnosis have long held that hypnosis was special in some way from other types of interpersonal communication and that an induction (preparatory process considered by some to be...
Parapsychology >> Hypnosis
Am I Damned?: Part 1
(Excerpted from a planned website, much of this material has already appeared in answer to various questions on the boards, especially in General Earth Spirituality. I will attempt to redact it for this forum, as much of the arguments contained here are basic...
Religions >> Christianity & Paganism
Trance-formation (The Cosmic Tao of the Sexes)
The purest outpouring of love between the sexes, is as a miniature super-nova of ecstatic union. Reciprocating pleasure becomes the engine that feeds the fires of passion. Passion becomes dynamic fuel for love. It is an engine that runs with the force of a...
Body Mysteries >> Yoga
Body Mysteries >> Sexuality
Morrison, Dorothy
Dorothy is a Wiccan High Priestess of the Georgian tradition and an avid practitioner of the ancient arts for over 20 years. She teaches the Craft to students throughout the US and in Australia. Her interests include archery and bowhunting, magical herbalism,...
Real Interviews >> Authors
Am I Damned?: Part 2
CAVEAT: It is impossible to answer a "theological" question simply and correctly at the same time. The reason for this is the fact that the theological arena involves reality not only beyond our capacity to adequately express, but even beyond that,...
Religions >> Christianity & Paganism
The Case of Ted Owens (The PK Man)
The principal concern of most readers will be whether the evidence in the Ted Owens case, as presented by Dr. Mishlove, is true beyond a reasonable doubt. Were this case the only case open to investigation it might well be considered beyond the pale of...
>> Psychic Abilities

Lemniscate Other Equations is described in multiple online sources, as addition to our editors' articles, see section below for printable documents, Lemniscate Other Equations books and related discussion.

Suggested Pdf Resources

Lemniscate of Bernoulli History Cartesian Formula
A description and definition of the Lemniscate of Bernoulli that leads to the development of it's parametric equation, along with a brief history of the curve.
The elastica: a mathematical history
Graphs of Polar Equations
1. Wallis' product [22], 1655
classical treaty [22] Wallis obtained another formula. (2). 2 π.
Following 8], by a lemniscate we mean the locus of a point z 2 C for which the .

Suggested Web Resources

Lemniscate -- from Wolfram MathWorld
The lemniscate, also called the lemniscate of Bernoulli, is a polar curve whose most common form is the locus of points the product of whose The parametric equations for the lemniscate with width a are .
Lemniscate of Bernoulli - Wikipedia, the free encyclopedia
In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 known as foci, at distance 2a from each other as the locus of points P so that PF1·PF2 = a2.
Lemniscate Other Equations | ®
Lemniscate Other Equations articles, reference materials. Need more on Lemniscate Other Equations?
Plane Curves - Lemniscate, Cycloid, Hypocycloid, Catenary, Trochoid
Plane Curves - Lemniscate, Cycloid, Hypocycloid, Catenary, Trochoid. The equation r = acos3θ is a similar curve obtained by rotating the curve by endpoint P of a taut string PQ of length a as the other end Q is moved along the x axis.
Lemniscate of Bernoulli. Cartesian Negative pedal curve wrt origin, Negative pedal wrt another point The bipolar equation of the lemniscate is rr' = a2/2.

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