Cutting Solid Figures by Plane--Analytical Solution and Spreadsheet Implementation

Autor/in	Benacka, Jan
Titel	Cutting Solid Figures by Plane--Analytical Solution and Spreadsheet Implementation
Quelle	In: International Journal of Mathematical Education in Science and Technology, 43 (2012) 5, S.647-654 (8 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2011.618553
Schlagwörter	Trigonometry; Mathematics Activities; Mathematics Education; Mathematics Curriculum; Geometry; Geometric Concepts; Plane Geometry; Mathematical Formulas; Computation; Equations (Mathematics); Algebra + Suchen Sie Ihr Suchwort? Trigonometrie; Mathematische Bildung; Geometrie; Elementare Geometrie; Planimetrie; Mathematische Formel; Equations; Mathematics; Gleichungslehre
Abstract	In some secondary mathematics curricula, there is a topic called Stereometry that deals with investigating the position and finding the intersection, angle, and distance of lines and planes defined within a prism or pyramid. Coordinate system is not used. The metric tasks are solved using Pythagoras' theorem, trigonometric functions, and sine and cosine rules. The basic problem is to find the section of the figure by a plane that is defined by three points related to the figure. In this article, a formula is derived that gives the positions of the intersection points of such a plane and the figure edges, that is, the vertices of the section polygon. Spreadsheet implementations of the formula for cuboid and right rectangular pyramids are presented. The user can check his/her graphical solution, or proceed if he/she is not able to complete the section. (Contains 6 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10