geometric point
71Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics …
72Focus (geometry) — Point F is a focus point for the red ellipse, green parabola and blue hyperbola. In geometry, the foci (  / …
73Pedal curve — Geometric construction of the pedal of C with respect to P In the differential geometry of curves, a pedal curve is a curve derived by construction from a given curve (as is, for example, the involute). Let C be a given curve and P a fixed point… …
74Almagest — Geometric construction used by Hipparchus in his determination of the distances to the sun and moon. The Almagest is a 2nd century mathematical and astronomical treatise on the apparent motions of the stars and planetary paths. Written in Greek… …
75mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …
76analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …
77Microlith — For the catalytic reactor, see Microlith (catalytic reactor). Backed edge bladelet A microlith is a small stone tool usually made of flint or chert and typically a centimetre or so in length and half a centimetre wide. It is produced from either… …
78painting, Western — ▪ art Introduction history of Western painting from its beginnings in prehistoric times to the present. Painting, the execution of forms and shapes on a surface by means of pigment (but see also drawing for discussion of depictions in …
79Geometrization conjecture — Thurston s geometrization conjecture states that compact 3 manifolds can be decomposed canonically into submanifolds that have geometric structures. The geometrization conjecture is an analogue for 3 manifolds of the uniformization theorem for… …
80Greek 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… …
