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Second Degree Equations as Sections of a Cone
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Read, Cecil B. – School Science and Mathematics, 1971
Descriptors: Algebra, Analytic Geometry, Mathematics, Secondary School Mathematics
Sign Lines, Asymptotes, and Tangent Carriers--An Introduction to Curve Sketching.
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Spikell, Mark A.; Deane, William R. – 1971
This paper discusses methods of sketching various types of algebraic functions from an analysis of the portions of the plane where the curve will be found and where it will not be found. The discussion is limited to rational functions. Methods and techniques presented are applicable to the secondary mathematics curriculum from algebra through…
Descriptors: Algebra, Analytic Geometry, Instruction, Mathematics
Easy Ways of Going Round the Bend
Fletcher, T. J. – Mathematical Gazette, 1973
The length of the longest ladder which will go round a right-angled bend in a corridor is found by five methods, none of which involves calculus. (MM)
Descriptors: Algebra, Analytic Geometry, Geometry, Mathematical Applications
Parametric Construction of the Conics
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Shwarger, Michael – Mathematics Teacher, 1972
Descriptors: Algebra, Analytic Geometry, Mathematics, Secondary School Mathematics
What is an Asymptote?
Giblin, P. J. – Mathematical Gazette, 1972
Descriptors: Algebra, Analytic Geometry, Calculus, College Mathematics
Duplicating the Cube with a Mira.
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Martin, George E. – Mathematics Teacher, 1979
A proof is given of a construction axiom, involving the use of a Mira used to construct a segment of a length cube root of K when segments of lengths 1 and k are given. (MP)
Descriptors: Algebra, Analytic Geometry, Geometry, Mathematics
Circular Coordinates: A Strange New System of Coordinates
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Trask, Frederick K., III – Mathematics Teacher, 1971
Descriptors: Algebra, Analytic Geometry, Graphs, Instruction
Phantom Points.
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Duncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1979
The simultaneous solution of equations in polar form does not always yield the points of intersection of their graphs. An explanation is given. (MP)
Descriptors: Algebra, Analytic Geometry, Graphs, Instruction
A Pencil of Lines
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Bender, Edward D. – School Science and Mathematics, 1974
Given two interesecting lines, the "pencil" of this interesection is the family of all lines passing through the point of intersection. Presented is a characterization of all lines both in the plane and lying in opposite sectors of the plane as determined by one of the original intersecting lines. (JP)
Descriptors: Algebra, Analytic Geometry, Geometric Concepts, Inequalities
A Geometric Technique for Factoring Polynomials
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Meconi, L. J. – Mathematics Teacher, 1972
Descriptors: Algebra, Analytic Geometry, Instruction, Mathematical Enrichment
Writing Equations for Intersecting Circles.
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Hopkinson, Richard J. – Mathematics Teacher, 1979
A method is developed for finding the equations of two circles that intersect at points with integral coordinates. Such equations are useful for the introducing systems of quadratic equations. (MP)
Descriptors: Algebra, Analytic Geometry, Instruction, Mathematics
An Interesting Vector Problem
Utterback, Allen C. – MATYC Journal, 1977
A method for converting a three-dimensional coordinate system to a two-dimensional coordinate system is explained. (MN)
Descriptors: Algebra, Analytic Geometry, College Mathematics, Geometry
Some Thoughts on Simultaneous Equations and Transformations of the Plane
Anderson, Johnston A. – Mathematics Teaching, 1973
Descriptors: Algebra, Analytic Geometry, Geometry, Instruction
Equations of Geometric Figures
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Johnson, Carl S.; And Others – Mathematics Teacher, 1974
By translating inequalities into equations (e.g., x greater than 0 can be written x- absolute value of x = 0) and forming equations for unions and intersections of solution sets, students can develop equations for polygons. The method can be generalized to yield equations in three dimensions. (SD)
Descriptors: Algebra, Analytic Geometry, Enrichment Activities, Geometry
Mathematical Education for Geographers
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Wilson, Alan – Journal of Geography in Higher Education, 1978
Outlines mathematical topics of use to college geography students identifies teaching methods for mathematical techniques in geography at the University of Leeds; and discusses problem of providing students with a framework for synthesizing all content of geography education. For journal availability, see SO 506 593. (Author/AV)
Descriptors: Algebra, Analytic Geometry, Calculus, Comparative Education
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