Differential Geometry of Previous: 2. Differential Geometry of Contents Index 2.1 Arc length and tangent vector Let us consider a segment of a parametric curve between two points () and () as shown in Fig. 2.1. Its length can be approximated by a chord length , and by means of a Taylor expansion we have Use this formula to calculate the minimum focal length required to fully sample a high resolution image with any particular CCD. This is based on the assumption of perfect seeing and the Airy disk being the limit of resolution.

*Start studying Geometry Circles Formulas & Arc Length/Sector Area. Learn vocabulary, terms, and more with flashcards, games, and other study tools.*Circles have many components including the circumference, radius, diameter, arc length and degrees, sector areas, inscribed angles, chords, tangents, and semicircles. Only a few of these measurements involve straight lines, so you need to know both the formulas and units of measurement required for each. THE MATHEMATICS OF DNA STRUCTURE, MECHANICS, AND DYNAMICS DAVID SWIGON∗ Abstract. A brief review is given of the main concepts, ideas, and results in the ﬁelds of DNA topology, elasticity, mechanics and statistical mechanics. Discussion in-cludes the notions of the linking number, writhe, and twist of closed DNA, elastic rod