1. 4-pi Geometry 4p geometry. Home Nuclides Contamination Reactions 4-pigeometry Products FILE. SHORT DESCRIPTION. DETECTOR. NA22_4PI.SPC. http://www.atom.nw.ru/catalog/4-pi.htm

p -geometry Home Nuclides Contamination Reactions [ 4-pi geometry ] Products FILE SHORT DESCRIPTION DETECTOR NA22_4PI.SPC Na-22 in well-type HPGe We can see narrow peak 1022 keV HPGe 25% well type U235_4PI.SPC 235-U In well type detector GCW2021 "Canberra" 20% U236_4PI.SPC 236-U In well type detector GCW2021 "Canberra" 20% U238_4PI.SPC 238-U In well type detector GCW2021 "Canberra" 20% NATU_4PI.SPC Natural U In well type detector GCW2021 "Canberra" 20% TH230L4P.SPC Th-230 Low E In well type detector GCW2021 "Canberra" 20% TH230-4P.SPC Th-230 In well type detector GCW2021 "Canberra" 20% TH232L4P.SPC Th-232 Low E In well type detector GCW2021 "Canberra" 20% TH232-4P.SPC Th-232 In well type detector GCW2021 "Canberra" 20% TH228-4P.SPC In well type detector GCW2021 "Canberra" 20% U233_4P.SPC U-233 inside GCW2021 "Canberra" 20% U234_4P.SPC U-234 In well type detector GCW2021 "Canberra" 20% PU236_4P.SPC

2. Discovering PiTITLE Discovering Pi AUTHOR Jack Eckley, Sunset Elem., Cody, WY GR Resource List For March pi geometry Sir Cumference and The Dragon of Pi A Math Adventure. This book can be ordered online on http//www.kidslikeours.com/books/uni/ sir.htm for $6.95. The Misadventures of Sailor Pi. http://www.col-ed.org/cur/math/math23.txt

TITLE: Discovering Pi AUTHOR: Jack Eckley, Sunset Elem., Cody, WY GRADE LEVEL/SUBJECT: 5-7, geometry OVERVIEW: Many students tend to memorize, without understanding, formulas that we use in geometry or other mathematic areas. This particular activity allows students to discover why pi works in solving problems dealing with finding circumference. OBJECTIVES: The students will: 1. Measure the circumference of an object to the nearest millimeter. 2. Measure the diameter of an object to the nearest millimeter. 3. Explain how the number 3.14 for pi was determined. 4. Demonstrate that by dividing the circumference of an object by its diameter you end up with pi. 5. Discover the formula for finding circumference using pi, and demonstrate it. RESOURCES/MATERIALS: round objects such as jars, lids, etc., measuring tapes, or string and rulers, paper, pencil, calculator ACTIVITIES AND PROCEDURES: 1. Divide class into groups of two. 2. Give materials to student teams. 3. Have student teams make a table or chart that shows name or number of object, circumference, diameter, and ?. 4. Have students measure and record each object's circumference and diameter, then divide the circumference by the diameter and record result in the ? column. 5. Have students find the average for the ? column and compare to other groups in the class to determine a pattern. Students can then find the average number for the class. 6. Explain to the students that they have just discovered pi, which is very important in finding the circumference of an object. (You may wish to give some historical information about pi at this time or have students research the information.) 7. Have students come up with a formula to find the circumference of an object knowing only the diameter of that object, and the number that represents pi. Students must prove their formula works by demonstration and measuring to check their results. TYING IT ALL TOGETHER: 1. Have students write their conclusions for the activities they have just done. Students may also share what they have learned with other members of the class. 2. Give students three problems listing only the diameter of each object and have them find the circumference. 3. Encourage students to share learned knowledge with parents.

3. Home Page Gamma Ray Spectra Catalog. Nuclides Contamination Reactions 4pi geometry Products , VG.Khlopin Radium Institute http://www.atom.nw.ru/catalog/

Gamma Ray Spectra Catalog Nuclides Contamination Reactions 4-pi geometry ... V.G.Khlopin Radium Institute (KRI) , in collaboration with the U.S. Department of Energy (U.S. DOE) , has developed a gamma ray spectra catalog presented as semiconductor detector response functions. This project is based on the existing spectra measured in various laboratories. It uses two methods of spectrum representation via the INTERNET. The first method presents spectra in the Public Document Format (PDF). Users can view these spectra using the Acrobat Reader which can be downloaded free of charge for nearly all computer platforms [for example, see http://www.adobe.com/prodindex/acrobat/readstep.html]. This part of the catalogue will be based on the existing published compilations of gamma-spectra. The most widely known published catalogue of this kind was created by the initiator of this Project, the late Prof. Russell L. Heath , who was well known around the world as the leading specialist in this field. These Catalogues are offered now as a free resource on the Internet. Click here to download demo version of Russell Heath catalogs The second method developed during the present work is based on a presentation of digitized spectra (stored in the universal digital format ) by a special software viewer called "VSpectr v. 1.0 beta"

4. Resources List For March: Pi Geometry Resource List For March pi geometry. Internet Pi Mathematics. http//archive.ncsa.uiuc.edu/Edu/RSE/RSEorange/buttons.html;The Joy of Pi. http://educ.queensu.ca/~fmc/march2002/marchresources.htm

Resource List For March: Pi Geometry Internet: Pi Mathematics. http://archive.ncsa.uiuc.edu/Edu/RSE/RSEorange/buttons.html The Joy of Pi. http://www.joyofpi.com/ The Digit Connection. http://members.aol.com/loosetooth/pi.html Where is Your Birthday in Pi? http://www.facade.com/legacy/amiinpi/ Children's Literature: Sir Cumference and The Dragon of Pi: A Math Adventure. This book can be ordered online on http://www.kidslikeours.com/books/uni/sir.htm for $6.95. The Misadventures of Sailor Pi. This is a book/poem about a girl, named Sailor Pi. More information about this book can be obtained on http://members.aol.com/loosetooth/pi.html The Greedy Triangle by Marilyn Burns Published by Scholastic Inc. ISBN 0-590-48991-7 Click Here For The March 2002 Daily Calendar

5. Math Documents. Chat Room. Tools. pi geometry 2 Back to pi geometry , Prev Next. PiGeometry 2.bmp Posted by PJS on 1/24/2003, 21KB, Also on MSN. Want to meet her? http://groups.msn.com/Math/pigeometry.msnw?action=ShowPhoto&PhotoID=33

6. Math Chat Room. Tools. pi geometry Back to pi geometry , Prev Next. Finding the radiusof a 10! circle. pi geometry.bmp Posted by PJS on 1/22/2003, 22KB, Also on MSN. http://groups.msn.com/Math/pigeometry.msnw?action=ShowPhoto&PhotoID=27

7. Math pi geometry 2 Back to pi geometry , Prev Next. pi geometry2.bmp Posted by PJS on 1/24/2003, 21KB, http://moneycentral.communities.msn.com/Math/pigeometry.msnw?action=ShowPhoto&Ph

8. Math pi geometry Choose Another Photo Album, View Grid View. List View.pi geometry pi geometry.bmp. pi geometry 2 pi geometry 2.bmp. http://moneycentral.communities.msn.com/Math/pigeometry.msnw?Page=1

9. October 2002 WOM Teaching Geometry Lending and Duplication Geometry Flip and Fold Seeing Symmetry, 15 min. ( 065476)pi geometry Getting Into Shape Playing With Polygons, 15 min. http://www.aea11.k12.ia.us/womwww/10-02wom/10-02geometry.html

October 2002 Resources for Teaching Geometry Here are some resources intermediate teachers might find useful to teach geometry. Use the following key for audience level: P, Primary, I, Intermediate, J, Junior High, S, Senior High. Professional Library Books To borrow a copy, call the Heartland AEA professional library, ext. 4323. The Amazing Circle (371.2 Aim) Fifth Grade Book of Math Tests (372.72 For) Geometry and Graphing, Middle Grades (372.7 Opi) Hardhatting in a Geo-World, Grades 3-5 (371.2 Aim) Making Geometry Come Alive: Student Activities and Teacher Notes (516 Pos) Math In the Real World of Design and Art: Geometry, Measurements, and Projections (372.7 Coo) Math Plans: Lessons From the Field (372.7 Mar) Navigating Through Geometry in Grades 3-5 (372.7 Nav)

10. Health Physics And Radiation Sciences Training At PTP detector views the sample. In a 4 pi geometry, the detector completelysurrounds the detector. This is accomplished by placing http://www.orau.com/ptp/collection/proportional counters/Hanford.htm

Privacy/Security Notice Professional Training Programs Hands-on, laboratory-based training in the areas of radiation safety (health physics), medical health physics, environmental monitoring, and decommissioning. Course Information Registration Join Our Mailing List! Electronic Library CD ... Related Services Neutron Induced Fission For more information or a complete PTP Course Catalog, contact: Registrar Professional Training Programs Oak Ridge Associated Universities P.O. Box 117, MS-11, Oak Ridge, TN 37831-0117 Phone: 1-865-576-3576 . Fax: 1-865-241-9152 Animated GIFs courtesy of Justin Matis, Cornell PTP Courses Registration About PTP Lodging and Transportation ... Related Training and Services Last updated: Notice to Users

11. Health Physics And Radiation Sciences Training At PTP support. The support and sample were then sandwiched between two hemisphericalchambers (2.5 diameter) to provide a 4 pi geometry. The http://www.orau.com/ptp/collection/proportional counters/4pi.htm

Privacy/Security Notice Professional Training Programs Hands-on, laboratory-based training in the areas of radiation safety (health physics), medical health physics, environmental monitoring, and decommissioning. Course Information Registration Join Our Mailing List! Electronic Library CD ... Related Services Neutron Induced Fission For more information or a complete PTP Course Catalog, contact: Registrar Professional Training Programs Oak Ridge Associated Universities P.O. Box 117, MS-11, Oak Ridge, TN 37831-0117 Phone: 1-865-576-3576 . Fax: 1-865-241-9152 Animated GIFs courtesy of Justin Matis, Cornell PTP Courses Registration About PTP Lodging and Transportation ... Related Training and Services Last updated: Notice to Users

12. The Golden Section - The Number And Its Geometry Circumference and pi Conjecture The circumference of a circle is the length around the edge of the circle. The diameter is a chord that passes through the center of the circle. The radius is a segment from the center to any point on the circle. Back Conjectures in geometry Conjecture List or to the Introduction. http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi.html

The Golden section ratio: Phi Contents of this Page The line means there is a Things to do investigation at the end of the section. What is the Golden Ratio (or Phi)? A simple definition of Phi A bit of history... Links on Euclid and his "Elements" ... More What is the golden section (or Phi)? We will call the Golden Ratio (or Golden number) after a greek letter, Phi ) here, although some writers and mathematicians use another Greek letter, tau ). Also, we shall use phi (note the lower case p) for a closely related value. A simple definition of Phi There are just two numbers that remain the same when they are squared namely and . Other numbers get bigger and some get smaller when we square them: Squares that are bigger Squares that are smaller is 4 is 9 is 100 One definition of Phi (the golden section number) is that to square it you just add 1 or, in mathematics: Phi = Phi + 1 In fact, there are

13. Discovering Pi - An AskERIC Lesson Plan use in geometry or other mathematic areas. This particular activity allows students to discover why pi works in solving http://ericir.syr.edu/Virtual/Lessons/Mathematics/Geometry/GEO0001.html

Lesson Plan #:AELP-GEO0001 Discovering Pi An AskERIC Lesson Plan AUTHOR: Jack Eckley, Sunset Elem., Cody, WY Date: Grade Level(s): Subject(s): Mathematics/Geometry OVERVIEW: Many students tend to memorize, without understanding, formulas that we use in geometry or other mathematic areas. This particular activity allows students to discover why pi works in solving problems dealing with finding circumference. OBJECTIVES: The students will: Measure the circumference of an object to the nearest millimeter. Measure the diameter of an object to the nearest millimeter. Explain how the number 3.14 for pi was determined. Demonstrate that by dividing the circumference of an object by its diameter you end up with pi. Discover the formula for finding circumference using pi, and demonstrate it. RESOURCES/MATERIALS: round objects such as jars, lids, etc. measuring tapes, or string and rulers paper pencil calculator ACTIVITIES AND PROCEDURES: Divide class into groups of two. Give materials to student teams. Have student teams make a table or chart that shows name or number of object, circumference, diameter, and ?.

14. Math Forum - Ask Dr. Math This site is great for helping in high school math, especially in geometry. Activities for pigeometry (up to Year 8) http://mathforum.com/library/drmath/view/55034.html

Associated Topics Dr. Math Home Search Dr. Math Approximating Pi using Geometry http://mathforum.org/dr.math/ Associated Topics High School Conic Sections/Circles High School Geometry High School Triangles and Other Polygons Middle School Conic Sections/Circles ... Middle School Triangles and Other Polygons Search the Dr. Math Library: Find items containing (put spaces between keywords): Click only once for faster results: [ Choose "whole words" when searching for a word like age. all keywords, in any order at least one, that exact phrase parts of words whole words Submit your own question to Dr. Math Math Forum Home Math Library Quick Reference ... Math Forum Search Ask Dr. Math TM http://mathforum.org/dr.math/

15. Discovering Pi - An AskERIC Lesson Plan without understanding, formulas that we use in geometry or other mathematic areas.This particular activity allows students to discover why pi works in solving http://www.askeric.org/Virtual/Lessons/Mathematics/Geometry/GEO0001.html

Lesson Plan #:AELP-GEO0001 Discovering Pi An AskERIC Lesson Plan AUTHOR: Jack Eckley, Sunset Elem., Cody, WY Date: Grade Level(s): Subject(s): Mathematics/Geometry OVERVIEW: Many students tend to memorize, without understanding, formulas that we use in geometry or other mathematic areas. This particular activity allows students to discover why pi works in solving problems dealing with finding circumference. OBJECTIVES: The students will: Measure the circumference of an object to the nearest millimeter. Measure the diameter of an object to the nearest millimeter. Explain how the number 3.14 for pi was determined. Demonstrate that by dividing the circumference of an object by its diameter you end up with pi. Discover the formula for finding circumference using pi, and demonstrate it. RESOURCES/MATERIALS: round objects such as jars, lids, etc. measuring tapes, or string and rulers paper pencil calculator ACTIVITIES AND PROCEDURES: Divide class into groups of two. Give materials to student teams. Have student teams make a table or chart that shows name or number of object, circumference, diameter, and ?.

16. Areas, Volumes, Surface Areas (pi = = 3.141592 ). Areas. square = a 2. rectangle = ab. parallelogram = bh. trapezoid= h/2 (b 1 + b 2 ). circle = pi r 2. ellipse = pi r 1 r 2. triangle = (1/2) bh. http://www.math2.org/math/geometry/areasvols.htm

Dave's Math Tables: Areas, Volumes, Surface Areas Math Geometry AreasVolumes pi Areas square = a rectangle = ab parallelogram = bh trapezoid = h/2 (b + b circle = pi r ellipse = pi r r triangle = (1/2) b h equilateral triangle = (1/4) (3) a triangle given SAS = (1/2) a b sin C triangle given a,b,c = [s(s-a)(s-b)(s-c)] when s = (a+b+c)/2 (Heron's formula) when n = # of sides and S = length from center to a corner Volumes cube = a rectangular prism = a b c irregular prism = b h cylinder = b h = pi r h pyramid = (1/3) b h cone = (1/3) b h = 1/3 pi r h sphere = (4/3) pi r ellipsoid = (4/3) pi r r r Surface Area cube = 6 a prism: (lateral area) = perimeter( b ) L (total area) = perimeter( b ) L + 2 b sphere = 4 pi r

17. History Of Mathematics - Table Of Contents Topics include background in Babylonian, Euclid, Al'Khwarizmi, pi, and trigonometry. Also has recreations and java chat. http://members.aol.com/bbyars1/contents.html

And Insights into the History of Mathematics Table of Contents Prologue The First Mathematicians The Most Famous Teacher Pi: It Will Blow Your Mind ... Comments and Notices

18. Circles origin the center of the circle pi ( ) A number, 3.141592 , equal to (the circumference)/ (the diameter) of any circle. Area of Circle area = pi r 2. http://www.math2.org/math/geometry/circles.htm

Dave's Math Tables: Circles Math Geometry Circles a circle Definition: A circle is the locus of all points equidistant from a central point. Definitions Related to Circles arc: a curved line that is part of the circumference of a circle chord: a line segment within a circle that touches 2 points on the circle. circumference: the distance around the circle. diameter: the longest distance from one end of a circle to the other. origin: the center of the circle pi ( A number, 3.141592..., equal to (the circumference) / (the diameter) of any circle. radius: distance from center of circle to any point on it. sector: is like a slice of pie (a circle wedge). tangent of circle: a line perpendicular to the radius that touches ONLY one point on the circle. diameter = 2 x radius of circle Circumference of Circle = PI x diameter = 2 PI x radius where PI Area of Circle: area = PI r Length of a Circular Arc: (with central angle if the angle is in degrees, then length = x (PI/180) x r if the angle is in radians, then length = r

19. Conjectures In Geometry Circumference And Pi equal to 3.14, or 22/7. Click here to further explore pi. Conjecture Previous InscribedQuadrilateral Conjecture Back Conjectures in geometry Conjecture List http://www.geom.umn.edu/~dwiggins/conj49.html

20. Pi Fibonacci Numbers pi Fibonacci Numbers. Recall that 3). arctan(1/3) = arctan(1/5) + arctan(1/8).geometry of arctan(1/3) = arctan(1/5) + arctan(1/8). As http://www.geom.umn.edu/~huberty/math5337/groupe/fibonacci.html

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