PPT-“Platonic Solids, Archimedean Solids, and Geodesic Sphere

Jim Olsen Western Illinois University JROlsenwiuedu Platonic Archimedean Plato 423 BC 347 BC Aristotle 384 BC  322 BC Euclid 325 and 265 BC Archimedes 287  BC . De64257ne celestial equator celestial pole right as cension declination ecliptic equinox solstice and 64257nd these on the celestial sphere Explain how we can use the celestial sphere to model the yearly motion of the Sun and the daily motions of st 16 N. H. Abdel-All and E. I. Abdel-Galil 1.Introduction Geodesics are curves on a surface that make turns just to stay on David Alan Paterson. 23 Aug 2011. Part 1. Infinite numbers as the limits of sequences of real numbers. Part 2. Oscillatory sequences & applications. Banishing divergence: Omega. Banishing Divergence: Big O notation. Lesson Objective. Students will use the formula for the volume of a . pyramid, cone, . and . sphere . to solve problems. . Lesson Beginning. Find the volume.. . J. Blackmon. Platonic Forms. Platonic Forms. The Problem. We encounter particular instances of justice, but how do we come to know justice?. We encounter particular triangles, but how do we come to know about . Sebald. Geometric Solids. Introduction. Geometric Solids are 3-Dimensional (or “3-D”) shapes – which means they have the 3 . dimensions. of width, depth, and height. Basic examples are spheres, cubes, cylinders, and pyramids. But there are lots of others. Some geometric solids have . The Public Sphere. Charles Walton. The Public Sphere. Charles Walton. Immanuel Kant. What is Enlightenment? . (1784). Private use of reason:. Officer in a civic post. Can be limited. Public use of reason:. MATH 420 Presentation: Kelly Burgess. What are they?. Convex Polyhedron (polyhedron: 3d solid with straight edges and flat faces). All faces are congruent. Same number of faces meet at each vertex. Named after Greek philosopher Plato who associated each with a basic "element". Volume Formula of a Sphere:. In 3 dimensions, the . volume.  inside a sphere . is found by using the formula . where.  . r.  is the . radius. of the . sphere. Once you have the radius, you can easily find Volume! . Warm Up. Find each measurement.. 1.. . the radius of circle . M. if the diameter is 25 cm. 2.. the circumference of circle . X. if the radius is . 42.5 in.. 3.. the area of circle . T. if the diameter is 26 ft. A sphere is ⅔ a cylinders volume.. Volume units are cube. . . Attributes of a Sphere: . Diameter/Height. Volume of a Sphere formula: . V= . 4/3 . πr^3. Example 1: . Find the Volume for the following sphere. The radius is 8 inches. . Investigating Regular Polyhedra– Level 1. What You’ll Learn…. What the Platonic solids are, what makes them unique, and how they relate to one another.. The math behind these special shapes and why there is a limited number of regular polyhedra. . Bladder – Prostate – Rectum. A Challenging Example. Male Pelvis. Bladder – Prostate – Rectum. How do they move over time (days)?. (all within same person). A Challenging Example. Male Pelvis. Salts, Sugars, Metals. Amorphous Solids- have no regular repeating arrangement of their molecules. Common glass, several polymers.. Crystalline Structure. Amorphous. Amorphous solids. Amorphous solids, due to a lack of arrangement of molecules, .