given two triangles
91Plato: metaphysics and epistemology — Robert Heinaman METAPHYSICS The Theory of Forms Generality is the problematic feature of the world that led to the development of Plato’s Theory of Forms and the epistemological views associated with it.1 This pervasive fact of generality appears …
92architecture — /ahr ki tek cheuhr/, n. 1. the profession of designing buildings, open areas, communities, and other artificial constructions and environments, usually with some regard to aesthetic effect. Architecture often includes design or selection of… …
93Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …
94History of geometry — Geometry (Greek γεωμετρία ; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre modern mathematics, the other being the study of numbers. Classic geometry… …
95Trigonometric functions — Cosine redirects here. For the similarity measure, see Cosine similarity. Trigonometry History Usage Functions Generalized Inverse functions …
96Point location — The point location problem is a fundamental topic of computational geometry. It finds applications in areas that deal with processing geometrical data: computer graphics, geographic information systems (GIS), motion planning, and computer aided… …
97Circumscribed circle — Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the… …
98Golden ratio — For the Ace of Base album, see The Golden Ratio (album). Not to be confused with Golden number. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the… …
99Malfatti circles — In geometry, the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle. They are named after Gian Francesco Malfatti, who made early studies of the problem of …
100History of trigonometry — The history of trigonometry and of trigonometric functions may span about 4000 years.EtymologyOur modern word sine is derived from the Latin word sinus , which means bay or fold , from a mistranslation (via Arabic) of the Sanskrit word jiva ,… …
