ERIC Number: ED100648
Record Type: Non-Journal
Publication Date: 1974
Reference Count: N/A
Curves and Their Properties.
Yates, Robert C.
This volume, a reprinting of a classic first published in 1952, presents detailed discussions of 26 curves or families of curves, and 17 analytic systems of curves. For each curve the author provides a historical note, a sketch or sketches, a description of the curve, a discussion of pertinent facts, and a bibliography. Depending upon the curve, the discussion may cover defining equations, relationships with other curves (identities, derivatives, integrals), series representations, metrical properties, properties of tangents and normals, applications of the curve in physical or statistical sciences, and other relevant information. The curves described range from the familiar conic sections and trigonometric functions through the less well known Deltoid, Kieroid and Witch of Agnesi. Curve related systems described include envelopes, evolutes and pedal curves. A section on curve sketching in the coordinate plane is included. (SD)
Descriptors: Analytic Geometry, College Mathematics, Geometric Concepts, Geometry, Graphs, Instruction, Mathematical Enrichment, Mathematics Education, Plane Geometry, Secondary School Mathematics
National Council of Teachers of Mathematics, Inc., 1906 Association Drive, Reston, Virginia 22091 ($6.40)
Publication Type: Books
Education Level: N/A
Authoring Institution: National Council of Teachers of Mathematics, Inc., Reston, VA.