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Topic: Stereometry

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	HISTORY (Site not responding. Last check: 2007-10-18)
		The epochal event was the discovery of the number in natural phenomena.
		Stereometry is in fact the basis of architecture.
		Euclid defines the regular body as a figure which is limited by equal,equilateral and equiangular surfaces, That proves that there can be only five such solids, the so-called Platonic solids: tetrahedron, octahedron, hexahedron, dodecahedron and icosahedron, a finite list.
	www.mi.sanu.ac.yu /vismath/schulze/METAEDER/metaeder1 (799 words)

	All Elementary Mathematics - Study Guide - Geometry - Common notions...
		Stereometry studies geometric properties of solid bodies and figures.
		As well as in planimetry the basic elements are a point and a straight line, in stereometry a plane and a straight line are the basic notions.
		The main axiom of stereometry: Through any three points of a space, not placed on the same straight line, it is possible to draw one and only one plane.
	www.bymath.com /studyguide/geo/sec/geo13.htm (383 words)

	Amazon.com: stereometry (Site not responding. Last check: 2007-10-18)
		A concise history of the stereometry and the body measures, according to the contemporary sources,: From Archaic Egypt to the Viking Age by Bent Otte Grandjean (Unknown Binding - 1969)
		Stereometry;: A study of geometric figures in one, two, and three dimensions with designs for making all space models by Bertha M Zenzen (Unknown Binding - 1969)
		to trigonometry; the eighty-sixth to stereometry, which is the study of...
	www.amazon.com /s?ie=UTF8&keywords=stereometry&tag=dragoncon&index=blended&link_code=qs&page=1 (976 words)

	Dalest Project Web Page
		DALEST: Developing an Active Learning Environment for Stereometry.
		The main purpose of the DALEST project is to develop a dynamic three dimensional software suitable for teaching stereometry in middle schools.
		The proposed software focuses on the development of learners' thinking abilities and on their abilities to model ideas, to analyze and solve problems in their everyday activities.
	www.ucy.ac.cy /dalest (133 words)

	Numerical calculation
		Stevin emphasized the utility of decimal arithmetic "for all accounts that are encountered in the affairs of men," and he explained in an appendix how it could be applied to surveying, stereometry, astronomy, and mensuration.
		His idea was to extend the base-10 positional principle to numbers with fractional parts, with a corresponding extension of notation to cover these cases.
		The second was the emergence a century earlier of an established algebraic practice in the work of the Italian and German algebraists and its subsequent shaping into a powerful mathematical tool by Viète at the end of the century.
	www.thocp.net /reference/sciences/mathematics/numerical_calculation.htm (1069 words)

	Proclus on pure and applied mathematics
		For the importance of astronomy in medicine is made clear by Hippocrates and, in fact, by all who have discoursed on seasons and places.
		While these are the branches of mathematics as a whole, geometry, in its turn, is divided into the theory of the plane and stereometry [solid geometry].
		For the study of points and lines cannot constitute a separate branch since the figures they form must be either plane or solid.
	www-groups.dcs.st-and.ac.uk /~history/Extras/Proclus_pure_applied.html (805 words)

	Chapter Stercolin <i>to</i> Sternal of S by Webster's Dictionary (1913 Edition)
		An instrument for determining the specific gravity of liquid bodies, porous bodies, and powders, as well as solids.
		Of or pertaining to stereometry; performed or obtained by stereometry.
		The art of measuring and computing the cubical contents of bodies and figures; — distinguished from planimetry.
	www.bibliomania.com /2/3/257/1210/24135/2.html (469 words)

	What's in a proof?
		Ever since Thales (640-550 BC) proved that the angles at the base of an isosceles triangle are equal and that a diameter divides a circle into two equal parts, the idea of proof, deduction of facts from (apparantly) simpler facts, has established itself as the characteristic aspect of mathematics.
		Euclid's Elements with its very deliberate selection of the simplest facts - postulates (axioms) - from which he derived more complicated facts - theorems - in geometry, arithmetic, and stereometry, served as a mathematical bible for more than 2,000 years.
		The ultimate centrality of proof in mathematics found its expression in the formalistic view on mathematics which imposed itself as the New Math into the school education in the last half of this century.
	www.cut-the-knot.org /fta/what_is_proof.shtml (971 words)

	SLAC Today: SLAC Only Links (Site not responding. Last check: 2007-10-18)
		Synchrotron phase contrast radiographs (propagation method) of fatigue crack in small compact tension specimen of aluminum alloy were recorded, and by taking images at different sample orientations and applying stereo reconstruction technique crack surface map was obtained.
		Because of high aspect ratio of compact tension specimen geometry, multiple angle stereometry produces volumetric data with higher resolution and sensitivity than data reconstructed with conventional tomographic methods.
		Increased sensitivity of phase imaging to cracks, compared to that of the absorption X-ray methods, allowed detecting crack positions up to the crack tip with no load applied to the sample.
	today.slac.stanford.edu /today_detail.asp?id=2059 (227 words)

	Review of Robin Evans, The Projective Cast (Site not responding. Last check: 2007-10-18)
		Is it a holdover from the lodge of the High Gothic mason?
		Pérouse de Montclos, the great scholar of French stereometry, has tried to push it back even further, to the ribless vaults of the romanesque.
		He finds the origins in that still uncharted territory between the last gasps of Gothic and the dawn of the Renaissance, "between scene changes." The fan vaulting of Tewkesbury Abbey or the cloister vault of Gloucester Cathedral show the first signs of stereometric projection.
	www.columbia.edu /~jc65/reviews/evans.rev.htm (2459 words)

	DALEST: Developing an Active Learning Environment for Stereometry (3D geometry)
		The aim of this project to devise and test a teaching programme in 3D geometry for middle school students based on the needs, knowledge and experiences of a range of countries within the European Union.
		The main objective of the project is the development (and testing) of a dynamic three-dimensional geometry microworld, which enables students to construct, observe and manipulate geometrical figures in space, and which teachers can use to help students construct understanding of stereometry.
		Full details of the project are on the main project website.
	www.crme.soton.ac.uk /research/dalest.html (527 words)

	Villard Problem Article
		This is speculation, admittedly; but there is an unexpected pattern to Villard's drawings of architecture.
		About half are views and plans of architecture, and about half appear to concern stereometry or masonry construction.
		To define a profession this way is like judging an artist's style totally on restorations and forgeries.
	www.villardman.net /problem.html (5011 words)

	Springer Online Reference Works (Site not responding. Last check: 2007-10-18)
		The geometric approach allows one to transfer immediately to
		planimetry and stereometry, that is, the geometry of 2- and
		-flats, and further to construct the stereometry of
	eom.springer.de /h/h047220.htm (1017 words)

	Dialogues (Site not responding. Last check: 2007-10-18)
		For the online version of this essay, click here
		The traditional mathematics curriculum in Russian schools consists of two separate subjects that are studied simultaneously: (1) algebra and geometry in middle school (grades 7–9) and (2) introduction to analysis and stereometry, or three-dimensional geometry, in high school (grades 10–11).
		For the second half of their time in school, all students study two mathematics subjects in parallel.
	www.nctm.org /dialogues/2001-01/20010103_print.htm (653 words)

	Geometry - Formulae
		If you would like to increase the priority of this collection, contact us by writing to: publish (at) super-memory (dot) com with in the subject.
		The most important formulae used in planimetry and stereometry.
		To use this material you need the SuperMemo software
	www.super-memory.com /sml/colls/geomform.htm (208 words)

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