A Catalog of Special Plane Curves by J. Dennis Lawrence

By J. Dennis Lawrence

Forty years after its preliminary book, this quantity keeps to rank one of the field's most-cited references. one of many greatest and most interesting to be had collections, the catalog covers basic homes of curves and kinds of derived curves. The curves and the values in their parameters are illustrated by means of approximately ninety pictures from a CalComp electronic incremental plotter.
Suitable for college students and researchers in geometry and laptop technological know-how, the textual content starts through introducing normal homes of curves and kinds of derived curves. next chapters follow those houses to conics and polynomials, cubic and quartic curves, algebraic curves of excessive measure, and transcendental curves. a complete of greater than 60 specified curves are featured, every one illustrated with a number of CalComp plots containing curves in as much as 8 various variations. Indexes offer tables of derived curves, curve names, and a 95-item consultant to extra reading.

Show description

Read Online or Download A Catalog of Special Plane Curves PDF

Similar geometry & topology books

Local and Analytic Cyclic Homology (EMS Tracts in Mathematics)

Periodic cyclic homology is a homology concept for non-commutative algebras that performs the same position in non-commutative geometry as de Rham cohomology for gentle manifolds. whereas it produces solid effects for algebras of gentle or polynomial services, it fails for higher algebras akin to so much Banach algebras or C*-algebras.

Geometry. A comprehensive course

"A lucid and masterly survey. " — arithmetic GazetteProfessor Pedoe is well known as a superb instructor and an excellent geometer. His talents in either components are truly obtrusive during this self-contained, well-written, and lucid advent to the scope and techniques of straightforward geometry. It covers the geometry frequently incorporated in undergraduate classes in arithmetic, apart from the idea of convex units.

Foundations of Geometry

The fabric inside the following translation used to be given in substance by way of Professor Hilbert as a process lectures on euclidean geometry on the college of Göttingen throughout the iciness semester of 1898–1899. the result of his research have been re-arranged and positioned into the shape during which they seem right here as a memorial handle released in reference to the party on the unveiling of the Gauss-Weber monument at Göttingen, in June, 1899.

Calculus Revisited

During this booklet the main points of many calculations are supplied for entry to paintings in quantum teams, algebraic differential calculus, noncommutative geometry, fuzzy physics, discrete geometry, gauge conception, quantum integrable structures, braiding, finite topological areas, a few elements of geometry and quantum mechanics and gravity.

Extra info for A Catalog of Special Plane Curves

Sample text

1 As can be seen in the above proof of the e commutative as well as of the associative laws of multiplication use was made only of the special case of Pascal's Theorem whose proof on pp. 49 to 50 (Section 14) can be carried out in a particularly simple way by several applications of the inscribed quadrilateral theorem. By combining these developments the following method for multiplication of segments is arrived at, which among all methods encountered so far seems to be the simplest. a 1 Compare to this, also, the methods of the development of the theory of proportion which have been given in the meantime by A.

35 (1903) . As additional investigations of the axioms of continuity, the following examples are mentioned here: R. Baldus, "Zur Axiomatik der Geometrie," I-III, I in Math. , (1928), 100, 321-33; II in Atti d. Conge. into d. Mat. (Bologna, 1928), IV (1931); III in Sitzber. d. Heidelberger Akad. , 1930, Fifth Proceedings. A. , 1931, Fifth Proceedings. P. Bemays, "Betrachtungen tiber das Vollstandigkeitsaxiom und verwandte Axiome," Math. Zeitschr. 63 (1955), 219-92. CHAPTER II THE CONSISTENCE AND THE MUTUAL INDEPENDENCE OF THE AXIOMS § 9.

The Independence of the Continuity Axiom V (Non-Archimedean Geometry) In order to demonstrate the independence of Archimedes' Axiom V,l it is necessary to construct a geometry in which all axioms with the exception of Axiom V are satisfied. 1 To this end construct a field no (t) of all algebraic functions of t which arise from t through the five operations of addition, subtraction, WI Here w multiplication, division, and the operation VI denotes any function which is obtained by these five operations.

Download PDF sample

Rated 4.46 of 5 – based on 25 votes