Steiner was convinced, as Euclid had been, in what he termed the "organic unity of all the objects of mathematics": that there are interrelationships between what were then considered to be unrelated geometric theorems.
JakobSteiner, unschooled until age 18, was one of the founders of and greatest contributors to the field of projective or modern geometry.
Steiner was born on March 18, 1796, in the village of Utzensdorf, near Bern, Switzerland.
After Steiner's publication (1832) of his Systematische Entwickelungen he received, through Jacobi's exertions, who was then professor at Königsberg, an honorary degree of that university; and through the influence of G. Jacobi and of the brothers Alexander and Wilhelm von Humboldt a new chair of geometry was founded for him at Berlin (1834).
Steiner's papers were collected and published in two volumes (Gesammelte Werke, 1881-1882) by the Berlin Academy.
JakobSteiner (Berna, 18 marzo 1796 – Berna, 1 aprile 1863) è stato un matematico svizzero.
Nato nel villaggio di Utzendorf, a 18 anni è allievo di Heinrich Pestalozzi e va a studiare a Heidelberg, quindi a Berlino guadagnandosi da vivere con lezioni private.
Nel 1838 risolse poi per primo il problema isoperimetrico con un processo chiamato simmetrizzazione di Steiner.
Steiner war ein grosser Geometer, dem das Erfassen räumlicher Zusammenhänge mehr lag als irgendein Kalkül.
Er schrieb oft mit Jacobi zusammen, der ihm manchmal (mit analytischen Methoden) die Beweise lieferte, die Steiner nicht finden konnte.
Erst dann kann man mit Steiner behaupten, dass der Kreis unter allen einfach geschlossenen stetigen Kurven von gegebenen Umfang den grössten Inhalt einschliesst.
Steiner believed modern materialism blinds us to a spiritual world we can reach through our senses and inner consciousness, yet he also declared a variety of more controversial and bizarre beliefs over his decades of frenetic lecturing and writing.
Steiner warned against a devilish spirit named Ahriman, who threatened the world; discussed the activities of the Buddha on Mars; advocated reading to the dead; accepted reincarnation and karma (the idea that actions in past lives affect present ones); and proclaimed acquaintance with the Akashic records of everything that has happened in the universe.
Steiner luckily disappeared before his brusque fellow Austrian, Karl Popper, came on the philosophical scene with the falsifiability police.
JAKOBSTEINER (1796-1863), Swiss mathematician, was born on the 18th of March 1796 at the village of Utzendorf (canton Bern).
After Steiner's publication (1832) of his Systematische Entwickelungen he received, through Jacobi's exertions, who was then professor at Konigsberg, an honorary degree of that university; and through the influence of G. Jacobi and of the brothers Alexander and Wilhelm von Humboldt a new chair of geometry was founded for him at Berlin (1834).
Starting from simple elementary propositions, Steiner advances to the solution of problems which analytically require the calculus of variation, but which at the time altogether surpassed the powers of that calculus.
The heyday of synthetic geometry can be considered to have been the nineteenth century; when methods based on coordinates and calculus were ignored by some geometers such as JakobSteiner, in favour of a synthetic development of projectivegeometry.
For example, the treatment of the projective plane starting from axioms of incidence is actually a broader theory (with more models) than is found by starting with a vector space of dimension three.
Synthetic geometry is the branch of geometry which makes use of theorems and synthetic observations to draw conclusions, as opposed to analytic geometry which uses algebra to perform geometric computations and solve problems.
Wer später die Webseite vom Markt Mittenwald anklickt, ist übrigens auch sehr schön und informativ, auch was Buchungsmöglichkeiten angeht, wird dort über Mathias Klotz ein bisserl was anderes bezüglich seines Werdeganges erfahren.
JakobSteiner, ein armer Bauernbursche aus Absam, hatte deren Holz als besonders wohltönend entdeckt.
Auch Mathias Klotz hatte von Steiner vernommen, suchte ihn auf und machte sich die gern gegebenen Lehren des zum Meister gereiften Steiner zu eigen, um seinem Heimatdorfe den neuen Verdienst zu bringen“.
After Steiner's publication (1832) of his Systematische Entwickelungen he received, through Jacobi's exertions, who was then professor at Königsberg, an honorary degree of that university; and through the influence of G. Jacobi and of the brothers Alexander and Wilhelm von Humboldt a new chair of geometry was founded for him at Berlin (1834).
Steiner's papers were collected and published in two volumes (Gesammelte Werke, 1881-1882) by the Berlin Academy.
He discovered the Steiner surface (also called the Roman surface), which has a double infinity of conic sections on it, and the Steiner theorem.
Steiner was born at Utzenstorf, near Bern, and did not learn to read and write until the age of 14.
The Steiner theorem states that two pencils (collections of geometric objects) by which a conic is projected from two of its points are projectively related.
Steiner's publication (1832) of his Systematische Entwickelungen he received, through See also:
rest of Steiner's writings are found in numerous papers mostly published in Crelle's Journal, the first volume of which contains his first four papers.
Steiner's papers were collected and published in two volumes (Gesammelte Werke, 1881–1882) by the Berlin See also:
Steiner is a serious literalist; he can't see the difference between abstractions/ideas and reality.
JakobSteiner was the Swiss mathemetician after whom Steiner surfaces, Steiner trees and I assume Steiner systems were named.
Steiner's work is littered with that kind of ultra-literalism, where abstract concepts are taken as absolute literal properties of the concrete universe.
Steiner is a serious literalist; he can't see the difference between abstractions/ideas and reality.
JakobSteiner was the Swiss mathemetician after whom Steiner surfaces, Steiner trees and I assume Steiner systems were named.
Steiner's work is littered with that kind of ultra-literalism, where abstract concepts are taken as absolute literal properties of the concrete universe.
Steiner left Yverdon in the autumn of 1818 and went to Heidelberg, where he supported himself by giving private instruction.
Steiner überwarf sich bald mit seinem Hauptlehrer, dem Professor Schweins und gab später, in allerdings ziemlich billigem Wortwitze der an der Universität ihm vorgetragenen Geometrie den Namen dieses Dozenten.
Jacob Steiner's geometrical constructions with a ruler, given a fixed circle with its center.
Steiner's Ellipse Problem (that the ellipse circumscribing triangle ABC and having minimal area is the Steiner circum-ellipse, and that the ellipse inscribed in ABC and having maximal area is the Steiner in-ellipse; the two ellipses have as center the centroid of ABC)
Steiner's Circle Problem (that of all plane surfaces having equal perimeter, the circle has the greatest area; and of all plane surfaces with equal area, the circle has the least perimeter)
