Guiding Light Psychic Tarot Readings

TJ Higgs - Psychic Medium Tracy Higgs Distant learning. Alternative spiritual therapies KSC Crystals Psychic Workshops Bengalrose Healing Elizabeth Francis - Psychic Medium Lorrain Violet Moon Kim Barden Hypnotherapy BWRT Spiritual Energetics
Mansfield Mind Body Spirit Show
Date: 06-Apr-2024 10:00 AM

Visit Site
Address: John Fretwell Complex Sookholme rd Mansfield NG19 8LL, NG19 8LL, United Kingdom
Mansfield Mind Body Spirit Show
Date: 07-Apr-2024 10:00 AM

Visit Site
Address: John Fretwell Complex Sookholme rd Mansfield Notts NG19 8LL, NG19 8LL, United Kingdom
Occult Science Study Group @ Rosefolk
Date: 28-Mar-2024 7:00 PM

Visit Site
Address: Online Virtual Event, , United Kingdom
Book launch for "Human Being" book
Date: 05-Apr-2024 7:30 PM

Visit Site
Address: The Balmoral Centre, Salisbury Avenue, Southend-on-Sea, Essex, SS0 7AU, SS0 7AU, United Kingdom
Purple Feather Events MBS Fair Lawford
Date: 06-Apr-2024 10:00 AM

Visit Site
Address: Venture Centre Bromley rd. Lawford Manningtree Essex, CO11 2JE, United Kingdom
QUANTUM HYPNOTHERAPY TRAINING (Past Life, Between Lives, Future Lives, Spirit Release, Healing)
Date: 12-Apr-2024 1:00 PM

Visit Site
Address: Online Virtual Event, , United Kingdom
The Big Purple Wellness Weekend
Date: 11-May-2024 12:00 PM

Address: Merrist Wood College Holly Lane Worplesdon, GU3 3PE, United Kingdom
New Lemuria Calling with Hope, Grace & Healing
Date: 18-May-2024 2:00 PM

Visit Site
Address: The Henge Shop, High Street, Avebury, Marlborough, UK, SN8 1RF, United Kingdom
Dreaming With Plants
Date: 13-Jun-2024 3:00 PM

Visit Site
Address: Whetstone Cottage, Broughton-in-Furness, Cumbria, LA20 6AE, United Kingdom
The Scottish Spiritualist Seminar 2024
Date: 21-Jun-2024 1:45 PM

Address: Stirling Court Hotel, Stirling University, Stirling FK9 4LA Scotland, FK9 4LA, United Kingdom
Learn Kinetic Chain Release (KCR) in Bath Somerset
Date: 29-Jun-2024 9:00 AM

Visit Site
Address: Well Bath, Woolley Lane, Charlcombe, Bath, England UK, BA1 8BA, United Kingdom
Mind Body and Spirit Well Being Charity Day
Date: 29-Jun-2024 10:00 AM

Visit Site
Address: Stock Village Hall(opposite Greenwood’s Spa) Common Road Ingatestone CM4 9NF , CM4 9NF, United Kingdom
MIND BODY SOUL EVENT
Date: 28-Jul-2024 10:30 AM

Visit Site
Address: The Lismoyne Hotel 45 Church Road Fleet Hants , GU51 4NE, United Kingdom
Shropshire Wellbeing Festival
Date: 28-Sep-2024 10:30 AM

Visit Site
Address: Shrewsbury Football Stadium, Oteley Road, Shrewsbury SY2 6ST, SY2 6ST, United Kingdom
LIVING THE LAW OF ATTRACTION RETREAT BALI
Date: 29-Sep-2024 5:00 PM

Visit Site
Address: Narasoma Retreat Centre, Jalan Monkey Forest, Gang Beji No35, Ubud 80571, Bali, Indonesia, Ubud 80571, Indonesia
RESTORE, ENERGISE & CREATE RETREAT WITH THE LAW OF ATTRACTION AND MEDITATION, SNOWDONIA, UK
Date: 07-Feb-2025 4:00 PM

Visit Site
Address: Trigonos, Plas Baladeulyn, Nantlle, Caernarfon, Wales, LL54 6BW, LL54 6BW, United Kingdom

International Version
Select County

Psychic Workshops IPHM Side - Therapists Accrediation Spiritual Events UK - Psychics For Hire Theta Healing Academy Psychic Paula VgoriPsychic Paula Vgori SMALL 12 MBS Web Design - Mind Body Soul Gathering of Minds Peaceful LivingLuna Chakra and Aura Certified Course Pauline Clairvoyant Medium Book this spot (SM29)






[ View My Events ]
  +Add Event +Add Article +Add Classified +Add To Directory
Search
EnjoyHolistic.com - Create your own dedicated holistic and spiritual page listing.

Crop Cirlce Has Elusive Fifth Theorem

By:cropcirclesecrets.org
Date: Tue,16 Sep 2008
Submitter:ebobs
Views:12550

View Related

Several years ago, astronomer Gerald S. Hawkins, former Chairman of the astronomy department at Boston University, noticed that some of the most visually striking of the crop-circle patterns embodied geometric theorems that express specific numerical relationships among the areas of various circles, triangles, and other shapes making up the patterns (Science News: 2/1/92, p. 76). In one case, for example, an equilateral triangle fitted snugly between an outer and an inner circle. It turns out that the area of the outer circle is precisely four times that of the inner circle.Three other patterns also displayed exact numerical relationships, all of them involving a diatonic ratio, the simple whole-number ratios that determine a scale of musical notes. "These designs demonstrate the remarkable mathematical ability of their creators," Hawkins comments.Hawkins found that he could use the principles of Euclidean geometry to prove four theorems derived from the relationships among the areas depicted in crop circles. He also discovered a fifth, more general theorem, from which he could derive the other four (see diagram, left). "This theorem involves concentric circles which touch the sides of a triangle, and as the [triangle] changes shape, it generates the special crop-circle geometries," he says.Hawkins' fifth crop-circle theorem involves a triangle and various concentric circles touching the triangle's sides and corners. Different triangles give different sets of circles. An equilateral triangle produces one of the observed crop-circle patterns; three isoceles triangles generate the other crop-circle geometries.What is most surprising is that all geometries give diatonic (musical) ratios. Never before have geometric theorems been linked with music.Curiously, Hawkins could find no reference to such a theorem in the works of Euclid or in any other book that he consulted. When he challenged readers of Science News and The Mathematics Teacher to come up with his unpublished theorem, given only the four variations, no one reported success.In July 1995, however, "the crop-circle makers . . . showed knowledge of this fifth theorem," Hawkins reports. Among the dozens of circles surreptitiously laid down in the wheat fields of England, one pattern fit Hawkins' theorem based on the stringent definitions, on the rules established by the circles over the period 1980 to the present.The Circlemakers responsible for this old-fashioned type of mathematical ingenuity remain at large and unknown. Their handiwork flaunts a facility with Euclidean geometry and signals an astonishing ability to bend living plants without cracking stalks, and to trace out complex, precise patterns, most under cover of darkness, with a few notable exceptions during daytime.

NOTE: The circlemakers' fifth theorem has been published in the Mathematics Teacher, the magazine of the National Council of Teachers of Mathematics. Get it through your local library, or order it for US dollars by e-mail Attention "Kay Reuter/Customer Service Dept" [email protected] Ask for information on how to order page 441, volume 91, Number 5. the issue for May, 1998.
Like This? (Click Me)
 Be the first person to like this
 Known Humans have read this.
Post a Comment   View Comments(0)
Did you enjoy this article? why not let us know.

Visit website for more info:
www.cropcirclesecrets.org/hawkins.html






Share Page with Friends EmailBookmark and Share
Contact Me Contact Me
Request Delete/Amendment Request Amendment
Digg this article!
Delicious! Add this article to Del.icio.us!
Discuss Article on TheSpiritGuidesNetwork.co.uk Discuss Article on TheSpiritGuidesNetwork.co.uk

Post Article:
Submit Your Own Article

Leave a Comment

 

  
   
 


  


Enter the numbers shown above:

Comments

Copyright 2006-2013 TheSpiritGuides.co.uk
Tel: 07967 595893
A Mind Body Soul Directory and Spiritual Knowledge Site. Dedicated to Brenda Smith and all spiritual seekers out there.
0