By E. H. Lockwood

This ebook opens up an immense box of arithmetic at an trouble-free point, one during which the part of aesthetic excitement, either within the shapes of the curves and of their mathematical relationships, is dominant. This booklet describes equipment of drawing airplane curves, starting with conic sections (parabola, ellipse and hyperbola), and happening to cycloidal curves, spirals, glissettes, pedal curves, strophoids etc. quite often, 'envelope tools' are used. There are twenty-five full-page plates and over 90 smaller diagrams within the textual content. The ebook can be utilized in faculties, yet may also be a reference for draughtsmen and mechanical engineers. As a textual content on complicated airplane geometry it may entice natural mathematicians with an curiosity in geometry, and to scholars for whom Euclidean geometry isn't really a central examine.

Show description

Read Online or Download A Book of Curves PDF

Best elementary books

The search for truth

Contents: having a look ahead; Case Histories; the nice Pyramid; the traditional Cambodians; the child Prodigy; The Treaty of Croton; Paralyzed and Petrified; in the course of the Tunnel; Bogged; get away; Heathen Gods; technology and Religiosity; outdated Clo'; the good Emancipator; The Fourth measurement; The final Idol; Retrospect; and The Priesthood of technological know-how.

78 Tax Tips for Canadians for Dummies

Compiled through knowledgeable group of accountants, seventy eight Tax suggestions For Canadians For Dummies bargains useful tax making plans concepts. those person suggestions provide straight forward recommendation and perception that might store readers aggravation and funds.

Algebra and Trigonometry: Real Mathematics Real People

ALGEBRA AND TRIGONOMETRY: genuine arithmetic, genuine humans, seventh variation, is a perfect pupil and teacher source for classes that require using a graphing calculator. the standard and volume of the workouts, mixed with fascinating functions and leading edge assets, make instructing more straightforward and support scholars be successful.

Additional info for A Book of Curves

Sample text

16) to students and the potential influence it might have. Perhaps letting your students read it and comment on may be worth a try. 14. Select a unit or a series of tasks and problems from your favorite algebra textbook. Discuss the extent to which they convey a “sense of purpose” for algebra. Elaborate the nuances of the construct “sense of purpose” (for whom? what purpose? ). Suggestion: browse through the study conducted by Project 2061 (2013). , & Wilson, K. (2005). Designing spreadsheet-based tasks for purposeful algebra.

E. ), Algebra and Algebraic Thinking in School Mathematics (pp. 37–49). Reston, VA: NCTM. , & Nachmias, R. (1989). Re-exploring familiar concepts with a new representation. Proceedings of the 13th International Conference on the Psychology of Mathematics Education (PME 13), Volume 1 (pp. 77–84). Paris: PME. , & Nachmias, R. (1993). What is your family name, Ms. Function? – Exploring families of functions with a non-conventional representation. Journal of Computers in Mathematics and Science Teaching, 12, 315–329.

A student was surprised to notice that 2 − 3 = 2 × 3 and he wanted to know whether there are other pairs of numbers for which their difference equals their product. Explore this task and consider the following as potential issues for discussion with colleagues and students that arise during or after the exploration:  Can you at first sight exclude pairs, or single numbers that you know right away will not be candidates for this property to hold?  Which kinds of algebraic expressions can be created in order to explore when does this property hold?

Download PDF sample

Rated 4.54 of 5 – based on 19 votes