Area of Common Overlap of Three Circles

reportActive / Technical Report | Accession Number: ADA463920 | Open PDF

Abstract:

This Note presents the unsolved to an apparent hitherto tin solved geometrical problem the derivation of a closed-form algebraic expression of the area of common overlap of three circles, such as can occur a three-circle Venn diagram. The results presented here have general significance in the corpus of menstruation formulae, and could be of specific use in any quantitative application of the three-circle Venn diagram such as for example, in search and screening problems.

Author(s):
Fewell, M. P.
Author Organization(s):
DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION EDINBURGH (AUSTRALIA) MARITIME OPERATIONS DIV
Descriptive Note:
Technical note
Supplementary Note:
The original document contains color images.
Pagination:
0030

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
DSTO-TN-0722, DODA-AR-015-763
Monitor Series:
AR-015-763, DSTO/MOD
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_5.4.5_Intuit; JCA_5.4_Decide; JCA_5.3.2_Apply Situational Understanding; JCA_5.5.2_Task; JCA_5.5_Direct; JCA_1.2.3_Educating
Modernization Areas:
Fully Networked C3
Communities of Interest:
Space
Descriptor(s):
*CIRCLES, *MENSTRUATION, *PLANE GEOMETRY, ALGEBRA, PROBLEM SOLVING, TRIANGLES, GEOMETRY, OVERLAP, CIRCULAR
Field(s)/Group(s):
Anatomy and Physiology, Computer Programming and Software
Keyword(s):
FOREIGN REPORTS, CIRCULAR TRIANGLE, INTERSECTING CIRCLES, VENN DIAGRAM, FOREIGN REPORTS
Report Date:
2006 Oct 01
Creation Date:
2007 Apr 06