Nikolai Lobachevsky (1792-1856) Born: 1 Dec 1792 in Nizhny Novgorod, Russia Died: 24 Feb 1856 in Kazan, Russia Went to school and studied in Kazan under Martin ...
Went to school and studied in Kazan under Martin Bartels (1769 - 1833), who was ... 17. A straight line maintains the characteristic of parallelism at all its points. ...
Nikolai Lobachevsky The Great Mathematics Educator 1792 1856 Maryam Vulis Norwalk CC Nikolai Ivanovich Lobachevsky Biography November 20, 1792 - Born in ...
Lobachevsky: All straight lines which in a plane go out from a point can, with reference to a given straight line in the same plane, be divided into two classes ...
Gauss worked with Farkas Bolyai who also made several false proofs. Farkas taught his son, ... Straight lines parallel to a third line are parallel to each other.
C and D are both obtuse angles; C and D are both acute angles. ... Saccheri Hypothesis is angles C and D are obtuse. Angle sum of a triangle is greater than p. ...
The most famous of which was Playfair's Postulate. This postulate was named after Scottish scientist John Playfair, who made it ... Palyfair's Postulate: ...
Made independently by Carl Friedrich Gauss in Germany, Janos Bolyai in Hungary, ... In 1855 Gauss recognized the merits of this theory, and recommended him to the ...
Antiphon the Sophist introduced a method of exhaustion' ... 'Antiphon therefore deserves an honourable place in the history of geometry' - T L Heath ...
GREEK MATHEMATICS The axiomatic method The Elements begins with definitions and five postulates. There are also axioms which Euclid calls 'common notions'.
Or je soutiens que dans toute th orie particuli re de la nature il n'y a ... traduit (actualise ?) le dire de Kant ' espace et temps sont les cadres a priori de toute ...
EL SIGLO XIX MATEM TICAS F SICA QU MICA CIENCIAS SOCIALES Matem ticas Las matem ticas del siglo XIX alcanzaron un nivel de desarrollo tal que las llev m s ...
... Euclidean Geometry ... axioms for non-Euclidean geometry and derived theorems, but ... show that non-Euclidean geometry is as consistent as Euclidean geometry. ...
Science Ethics What's the Big Deal? Credit: Prof. D. Venkataraman made this presentation ... Kant: 'categorical imperative' = when considering an action, do it ...
generation mechanism - Cyclotron Maser Instability; STEREO SWG & Science Workshop ... Electron Cyclotron Maser works most efficient within auroral cavities, where fp ...
Sistemas Formais Jorge Muniz Barreto UFSC-INE Curso: Fundamentos da Computa o Em que consiste? Formal se refere a forma. Portanto sistemas formais, s o sistemas ...
Paradoxurilogico-matematice. Valoarea de adevar a propozitiei: Eu mint Bertrand Russell (1872-1970): Multimile se clasifica in: Multimi care se contin ...
Clusters are found at the densest spots, the interstices, of this network. ... the universe ``flies apart'' ... v = H r. This expansion of the universe ...
To illustrate with a few examples the usefulness of some ... http://discus.anu.edu.au/~rpb/F10.html. Integers modulo n. Examples: n=2 (odd and even numbers) ...
Agradezco a los siguientes colegas y amigos que me aportaron distintas ... un comentario sobre los Elementos, donde habla de intentos de probar el quinto ...
M. Cantor: Historia de la Matem tica hasta el siglo XVIII (4 vol menes) ... fue encontrada independientemente por el dan s Carl Wessel (1797), y por el ...
Teorias Modernas do Espa o-Tempo Maria Cristina Batoni Abdalla mabdalla@ift.unesp.br IFT/UNESP - Abril de 2005 Eu demonstro o valor da soma dos ngulos do ...
The geometry taught today in school is a confused mixture ... terms of properties invariant under homeomorphism, one can see the underlying idea in operation. ...
Let no one else's work evade your eyes, Remember why the good ... Consult generally available electronic resources Encarta, PUL resources, etc. Plagiarize, ...
Two kinds interpretation of quantum mechanics This file is only Part 1 of the entire presentation and includes: 1. Motivation 2. ... Negation of some axioms: ...
Further, assume that at time t = t' = 0, the ships are at the same point in space. ... In the Star Trek universe, 'sensors' are devices that are used to gather ...
... foundations for the infinitesimal and derivative calculus and therefore sought ... rigorous and clear foundations for the infinitesimal and derivative calculus. ...
Pascal's greatest achievements... Protestant Reformers, Pascal's religious order ... Pascal's independent discovery of Geometry's postulates testifies that ...
To illustrate with a few examples the usefulness of some mathematical theories ... 1963 John Leech: uses Golay's ideas for sphere packing in dimension 24 ...
... Diophantus is primarily concerned with the theory of numbers. Charles Babbage (English, 1791-1871) Originated the modern analytic computer Educated at ...
That all right angles are equal to one another. ... All right angles are congruent to each other. ... every angle is congruent to itself. Postulate III. ...
I am interested in non-standard ('deviant') logics; and in Cold War humor. ... The art of the possible. ... Deviant Logic. Fuzzy Logic. Beyond the Formalism. ...
l origine de la g om trie hyperbolique La construction d un rectangle par Euclide, Al-Khayy m, Saccheri et Lambert Les d couvertes de Gauss, Bolya et ...
Quantum-mechanical problems in the spaces of a constant positive and negative ... model for description of quarkonium spectrum, and ecxitons semiconductor quantum ...