Geometrie der EbeneBiblio.com
Vorlesungen Über Geometrie Vol. 1
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182941605Berlin G. Reimer 1829. 4to. No wrappers. Extracted from "Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle" Bd. 4. - Plücker's paper pp. 349-370 <br/><br/><em>First edition of a major paper in the arithmetization of geometry introducing the so-called triangular coordinates. "In 1829 Plücker contributed to Crelle's Journal the paper offered here with a revolutionary point of view that broke completely with the old Cartesian view of coordinates as line segments. The equation of a straight line in homogenous coordinates has the form ax by ct=0.Plücker saw that one could modify the usual language and call abc the homogenous coordinates of a line.Plücker had discovered the immidiate analytic counterpart of the geometric principle of duality about which Gergonne and Poncelet had quarreled; it now became clear that the justification that pure geometry had sought in vain was here supplied by the algebraic point of view." Boyer History of Mathematics. </em> unknown
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1728315966University of Halle 1728. Abundantly illustrated with watercolor drawings and tables. 1 vols. 4to. Disbound remnants of contemporary reversed calf and marbled boardslosses to top edges. Abundantly illustrated with watercolor drawings and tables. 1 vols. 4to. Extensive German manuscript on geometry with handsome period-colored illustrations. The first part discusses the relationship of the diameter to the circumference with an introduction on Pi comparing findings by Euclid Archimedes and Ptolemy as well as 16th- and 17th-century scholars like Augustin Hirschvogel Albrecht Dürer Nicolaus de Cusa Ludolph van Ceulen Kepler Adam Kochansky François Viète Carlo Renaldini and Adriaan Metius. The second features problems theorems and solutions to geometrical exercises on linear and proportional measures of inscribed and circumscribed polygons. A few pages contain occasional verse and notes on chemical preparations.<br /> <br /> Johann Gottlieb Arndt was an engineer and taught mathematics at the University of Halle in 1728-32. He also published on physical mathematical and economic education. unknown
2011BN28357Springer 2011. 2011. Hardcover. 246 x 168 x 2 cm. Vectorworks® ist das meist genutzte CAD-Programm für Apple und eines der führenden für Windows. Mit dem Buch lernen Architekten Innenarchitekten Bühnen- und Szenenbildner sowie Studierende das Programm noch besser kennen. Zu Beginn werden Leser in Programmoberfläche Werkzeuge Strukturhilfen Standardzeichentechniken und -translationsoperationen eingeführt wobei die 3D- und 2D-Werkzeuge anhand eines Beispielprojekts vorgestellt werden. Am Ende steht ein komplettes 3D-Modell des Bauwerks einschließlich davon abgeleiteter Pläne. Programmoberfläche · Blattrand und Raster ausblenden · Fangeinstellungen · Automatische Sicherung · Handbuch Quickstart · Arbeitsumgebungen · Tastenkürzel · Rasterbilder importieren · Klassen anlegen · Ebene bearbeiten · Navigation Klassen/Ebenen · Zeichnen per Koordinateneingabe · 2D zu 3D · 3D-Werkzeug Boden/Decke · Bauteildefinition · Boden/Decke bearbeiten · 3D-Werkzeug Wand · Wände verbinden · Wände bearbeiten · Partielle Höhenanpassung von Wänden · Wandverbindungen bearbeiten · Grundrissdarstellung steuern · Fenster und Türen als 2D/3D-Symbole anlegen · Arbeitsebenen als Konstruktionshilfe · 2D/3D-Symbole bearbeiten · Symbole im Modell einsetzen · Klassenstruktur von Symbolen · Symbolverwaltung in der Zubehörpalette · Ebenen als Geschosse · Ebenenübergreifende Modellansicht · 3D-Befehl Dachfläche anlegen · Wände an Dach anpassen · Dachfläche bearbeiten und ergänzen · Wandnische anlegen · Gekrümmte Bauteile als NURBS-Flächen modellieren · Kurvenflächen verbinden · Wendeltreppe mit dem Treppen-Werkzeug erstellen · Treppenobjekt 2D-editieren · Treppenobjekt im Modell einsetzen · Gesicherte Darstellungen · Layoutebene anlegen · Ansichtsbereiche · Ansichten Schnitt und Grundrisse aus 3D-Modell erzeugen · Zeichnungen 2D-editieren · Schraffuren und Verläufe anlegen · Bemaßungen anlegen und editieren · Kombination Liniendarstellung/Renderworks · Kamera festlegen · Kamerasteuerung aus dem Layout · Szenenbeleuchtung mit Umgebungslicht und anderen Lichtquellen · HDRI-Beleuchtung · Indirekte Beleuchtung · Vorgabe-Materialien · Shader- und Bitmapbasierte Texturen selbst erstellen · Materialzuweisung und Texturprojektion · Renderzeit-Optimierung · Spiegelung mit Rasterbildobjekten- Autor: Horst Sondermann ist Architekt und Professor an der Architekturfakultät der HFT Stuttgart. Er studierte an der TU Berlin und unterrichtet seit 1994 Darstellende Geometrie und Architekturdarstellung. Zur Architekturvisualisierung hat er bereits die Bücher Licht Schatten Raum · Architekturvisualisierung mit Cinema 4D® Cinema 4D®·Tipps und Tricks für die Architekturvisualisierung sowie Photoshop® in der Architekturgrafik im Springer-Verlag veröffentlicht. <br/><br/>Vectorworks® ist das meist genutzte CAD-Programm für Apple und eines der führenden für Windows. Mit dem Buch lernen Architekten Innenarchitekten Bühnen- und Szenenbildner sowie Studierende das Programm noch besser kennen. Zu Beginn werden Leser in Programmoberfläche Werkzeuge Strukturhilfen Standardzeichentechniken und -translationsoperationen eingeführt wobei die 3D- und 2D-Werkzeuge anhand eines Beispielprojekts vorgestellt werden. Am Ende steht ein komplettes 3D-Modell des Bauwerks einschließlich davon abgeleiteter Pläne. Programmoberfläche · Blattrand und Raster ausblenden · Fangeinstellungen · Automatische Sicherung · Handbuch Quickstart · Arbeitsumgebungen · Tastenkürzel · Rasterbilder importieren · Klassen anlegen · Ebene bearbeiten · Navigation Klassen/Ebenen · Zeichnen per Koordinateneingabe · 2D zu 3D · 3D-Werkzeug Boden/Decke · Bauteildefinition · Boden/Decke bearbeiten · 3D-Werkzeug Wand · Wände verbinden · Wände bearbeiten · Partielle Höhenanpassung von Wänden · Wandverbindungen bearbeiten · Grundrissdarstellung steuern · Fenster und Türen als 2D/3D-Symbole anlegen · Arbeitsebenen als Konstruktionshilfe · 2D/3D-Symbole bearbeiten · Symbole im Modell einsetzen · Klassenstruktur von Symbolen · Symbolverwaltung in der Zubehörpalette · Ebenen als Geschosse · Ebenenübergreifende Modellansicht · 3D-Befehl Dachfläche anlegen · Wände an Dach anpassen · Dachfläche bearbeiten und ergänzen · Wandnische anlegen · Gekrümmte Bauteile als NURBS-Flächen modellieren · Kurvenflächen verbinden · Wendeltreppe mit dem Treppen-Werkzeug erstellen · Treppenobjekt 2D-editieren · Treppenobjekt im Modell einsetzen · Gesicherte Darstellungen · Layoutebene anlegen · Ansichtsbereiche · Ansichten Schnitt und Grundrisse aus 3D-Modell erzeugen · Zeichnungen 2D-editieren · Schraffuren und Verläufe anlegen · Bemaßungen anlegen und editieren · Kombination Liniendarstellung/Renderworks · Kamera festlegen · Kamerasteuerung aus dem Layout · Szenenbeleuchtung mit Umgebungslicht und anderen Lichtquellen · HDRI-Beleuchtung · Indirekte Beleuchtung · Vorgabe-Materialien · Shader- und Bitmapbasierte Texturen selbst erstellen · Materialzuweisung und Texturprojektion · Renderzeit-Optimierung · Spiegelung mit Rasterbildobjekten- Autor: Horst Sondermann ist Architekt und Professor an der Architekturfakultät der HFT Stuttgart. Er studierte an der TU Berlin und unterrichtet seit 1994 Darstellende Geometrie und Architekturdarstellung. Zur Architekturvisualisierung hat er bereits die Bücher Licht Schatten Raum · Architekturvisualisierung mit Cinema 4D® Cinema 4D®·Tipps und Tricks für die Architekturvisualisierung sowie Photoshop® in der Architekturgrafik im Springer-Verlag veröffentlicht. Springer hardcover
036601384X.Gpaperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback
170748217Paris Jean Boudot et Jean Boudet fils 1707. 4to. Contemporary full calf. A bit of cracking to front hinges so that cords are seen but cover not loosening. Spine with 6 raised bands richly gilt compartments. Wear to top of spine. Two small old paperlabels one to upper compartment one to frontcover. Covers slightly rubbed. 44595 pp. Large woodcut vignette on titlepage 2 other vignettes one engraved one in woodcut. 32 folded engraved plates and one smaller folded plate Fig. A. An old owners stamp on flyleaf. Internally clean and fine. A few tiny brownspots. Wide-margined and printed on good paper. <br/><br/><em>Scarce first edition of l'Hôspital's second book - his second successfull textbook - the manuscript of which was left completed at his death in 1704. His first book "Analyse des infiniment petits pour l’intelligence des lignes courbes" 1696 was the first textbook of the differential calculus and his name lives on in the name of the rule for finding the limiting value of a fraction whose numerator and denominator tend to zero. His mathyematical teacher was Jean Bernoulli.The year in which Newton published the anti-Cartesian "Arithmeticus" there appeared in France a conspicuously successfull textbook on Cartesian geometry along the lines of that of Guisnée. This was the "Traité Analytique des Sections Coniques". a book which contains less original material than that of Guisnée but which is more extensive and closer to the modern manner of treatment. The work had been intended for publication at the time the authors famous calculus textbook appeared in 1696 but l'Hospital's illness apparently led to delay and it appeared posthumously in 1707. It is Cartesian in emphasis and although it consists of but one volume follows generally the tripartite plan of Lahire and Ozanam: first an algebraic quasi-analytic treatment of the Conic Sections along the lines of Apollonian theory; then an analytic study of the loci and finally a long section on the customary construction by conics of the roots of cubic and quartic polynominal equations. LHospital sometimes used two axes and seems to have recognized the interchangeability of these but he betrays some hesitation. In general L'Hospital like Descartes was more interested in analytic geometry as a measure of ecpressing loci algebraivcally than as a method of deriving the properties of a curve from its equation." Carl B. Boyer "History of Analytic geometry" pp. 150-154. </em> hardcover
19932090202118104937Tokuma Bookstore 1993. Soft Cover. Fine. The book is in fine condition. Tokuma Bookstore paperback
2008Manohar-9783540764052Springer 2008. Hardcover. New. Springer hardcover
2008Manohar-9783540764052Springer 2008. Hardcover. New. Springer hardcover
1450300162.Gpaperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback
2011DADAX1450300162ACM 2011-08-29. paperback. New. 8.50x0.91x11.00. Buy with confidence. Excellent Customer Service & Return policy. ACM paperback
ria9781450300162_inpPaperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The topics of the Annual Symposium on Computational Geometry reflect the rich diversity of research interests in computational geometry. They are intended to highlight both the depth and scope of computational geometry and to invite fr paperback
A9781450300162Paperback / softback. New. paperback
2011SONG1450300162ACM 2011-08-29. paperback. Used: Good. 8.50x0.91x11.00. Buy with confidence. Excellent Customer Service & Return policy. ACM paperback
1669113<p>Renowned italian treatise on mathematic and Practical geometry</p><p>the use of the "Squadro Geometrico" Set Square </p><p>the multiplication "<em>per crocetta</em>" and the first mention of the <em>surveyor's cross</em></p><p> Feliciano Francesco<strong>.</strong> <em>Scala Grimaldelli libro di aritmetica e geometria speculatiua e pratticale di M. Francesco Feliciano Veronese. Diuiso in tre libri. Nel primo si tratta di cose pertinenti a Mercatanti . Nel secondo si tratta dell'arte maggiore di algebra .accresciuto in quest'vltima impressione di dottissimi problemi . Nel terzo & vltimo si dimostra il misurar della Terra . i nuovo ristampato e da molti errori corretto e accresciuto di molte cose da M. Filippo Macario Veronese . </em>Venetia : presso Gio. Giacomo Hertz 1669.</p><p>4to 188 x 120 mm contemporary paper board handwrtten titles at front board in sepia ink pp. 8 240 printer device with <em>Galleon</em> at title page xylographic head-letters head-pieces and end-pieces.</p><p> Last printed edition of this milestone in the history of mathematic </p><p>The <em>Scala Grmaldelli</em> is a work of outstanding importance in the history of mathematics and more than any other work influenced the teaching of this science in the sixteenth century.</p><p>The book deals with commercial arithmetic treatment of roots the rule of false position algebra and a section on practical geometry. </p><p>At leaf d2 <em>recto</em> Feliciano illustrates the method of multiplication "<em>Per Crocetta</em>" one of several methods that were in use in the Italian Renaissance.</p><p>It is noteworthy in the part dealing with practical geometry the constant use of the "Squadro Geometrico" geometric square which appears to have been practiced in Italy since the XV century.</p><p>The <em>Scala Grimaldelli</em> when first published was the first book describing the use of the <em>Surveyor's Cross</em> a simple instrument made of two bars forming a right-angled cross with sights at each end and used in setting out right angles in surveying an innovative tool at a time when long distances were often merely estimated by sight.</p><p>The book was so important in the teaching of elementary mathematics that he was reprintd in numerous editions including this last one in 1669 143 years after the original edition.</p><p>"Few books had greater influence on the subsequent teaching of elementary mathematics" Smith. </p><p>The symbology expressed in the title is fascinating: just as you need a ladder to attack a fortress and a lockpick to open a lock in the same way to approach complex mathematics you need this book.<!--endif--></p><p>Francesco Feliciano was a mathematician of Lazesio Veronese who lived in the second half of the century. XV and in the first quarter of the XVI. </p><p>He published in 1517 <em>Libro di abbaco</em> printed in several editions but he is best known for the book of arithmetic and speculative and practical geometry described here: <em>Scala Grimaldelli </em>1526 whose subsequent editions reached the end of the XVII century.</p><p> This important treatise disseminated outside Italy the ideas the notions and the methods in the field of arithmetic geometry algebra and their applications that were first exposed by Leonardo Pisano and then cultivated in italian schools.</p><p> Conditions: this book was meant to be heavily used so it's rare find a copy in good condition as despite few marls of use this copy in its original binding can be defined. </p><p> Provenance: I. Faded handwriten ownership signature at title page II. Contemporary handwrtten annotations and calculations on margins.</p><p> Reference: Honeyman IV 1288; Michel-Michel III-29; Riccardi II-22.</p> Giacomo Hertz
1998x-0824701534Marcel Dekker Inc 1998. Paperback. New. 1st edition. 352 pages. 10.25x7.25x0.75 inches. Marcel Dekker Inc paperback
1334610614.Gpaperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback
0821850024.Gpaperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback
1980SONG08218500241980-11-01. paperback. Used: Good. xx. Buy with confidence. Excellent Customer Service & Return policy. paperback
172745242London T. Bowles 1727. Small 8vo. Contemp. full calf raised bands blindtooled covers Cambridge-binding. Wear to spine ends and spine. Hinges weakening but still holding. Titlepage in red/black. 21956 pp. and 80 full page engraved illustrations. Some soiling and browning mainly marginal last 10 engravings with a faint dapmstain. The charming plates are engraved by Leclerc. <br/><br/><em>Scarce English edition the third of Leclerc's charming and very popular treatise on elementary practical geometry and perspective.Sebastien Leclerc 1637-1714 was originally an engraver who studied physics and geometry in relation to perspective theory a field of which he became famous. In 1672 he was appointed to "l'Academie de Peinture" as professor in perspective. He was also engraver to Louis XIV and was appointed professor at "l'Ecole des Gobelins". </em> hardcover
1991x-0306436930Plenum Pub Corp 1991. Hardcover. New. 681 pages. 9.61x6.69x1.50 inches. Plenum Pub Corp hardcover
187353254London and New York Macmillan and Co. 1873. 4to. Orig. full brown cloth gilt spine pictorial gilt frontcover. Near mint condition. Small embossed stamp at upper corner of title-page David Dunlop ObservatoRy Library. In: "Nature a weekly illustrated Journal of Science." Volume VIII May 1873 to October 1873. XII562 pp. Entire volume offered. Riemann's paper: pp. 14-17 a. 36-37. Internally clean and fine no traces of use. <br/><br/><em>First English translation of this milestone work on the foundations of geometry. It "is one of the key work from which derives the modern study of differential geometry and especially the study of manifolds of dimension greater than two. It was to prove central to the overthrow of Euclidean geometry as the source of geometrical ideas and to Einstein's general theory of relativity after 1915." Grattan-Guiness "Landmark Writings in Western Mathematics 1640-1940.It is a translation of Riemann's famous Habilitationsvortrag held in 1854 in secondary literature it is often misidentified as his Habilitationsschift but that was concerned with Fourier series and was delivered the year before. Riemann begins his lecture with a remark about a certain darkness that lies at the foundation of geometry. This darkness obscures the relations between that which geometry assumes i.e. the notion of space and the first principles of constructions in space. In Riemann's oponion one must take another approach towards this problem than the usual axiomatic method used ever since Euclid. The approach taken by Riemann is to a large extent guided by Gauss's work on the intrinsic geometry of surfaces; 'Disquisitiones generales circa superficies curvas' 1828. In this work Gauss showed that the curvature of a surface can be determined without reference to the ambient Euclidean space in which it lies i.e. that the curvature is an intrinsic property of the surface. Based on this Gauss showed several fundamental theorems about figures on the surface by referring only to the surface itself i.e. indicating that the surface itself is a space with its own geometry independent of the geometry of the ambient Euclidean space. Riemann argues that the true objects and properties of geometry are those which can be studied within the space itself and he defines a general n-dimensional space in a similar manner to the parametric representation of a surface. Riemann believed that we know space only locally he therefore bases his study of the geometry of such a general space or manifold as they are known today on the infinitesimal methods of calculus. This choice is a crucial departure from the classical axiomatic methods used by Euclid Lobachevsky and Bolyai. The notion of distance or metric on a manifold is a generalization of the usual Euclidean distance formula in n-dimensions. Particular choices of space and metric reveal both the hyperbolic geometries of Lobachevsky and Bolyai and elliptic or Riemannian geometry. Riemann's approach to geometry is of paramount importance this work "did more to change our ideas about geometry and physical space than any work on the subject since Euclid's Elements." Landmark Writings in Western Mathematics p.507. "The importance of this treatise is not confined to pure mathematics. Without it Einstein would not have been able to develop his general theory of relativity." Printing and the Mind of Man p.177. </em> hardcover
177031785Berlin Haude & Spener 1770. 4to. No wrappers as issued in "Mémoires de l'Academie Royale des Sciences et Belles Lettres" tome XXIV pp. 327-354 and 1 engraved plates. <br/><br/><em>First edition. Lambert's work on non-Euclidean geometry is among the most important in the field. Carl Boyer writes "No one else came so close to the truth without actually discovering non-Euclidean geomtry." History of Mathematics pp. 504. Lambert wrote his famous book 'Theorie der Parallellinien' in 1766 but it was not published until 1786 nearly a decade after his death. Lambert originally set out to prove Euclid's parallel postulate in a similar way to that which Saccheri had used in his 'Euclides Vindicatus' but in contrast he did not interpret the consequences of non-Euclidean geometry as absurd. The offered paper 'Observations Trigonometriques' is the only work by Lambert on non-Euclidean geometry which was published during his life-time. Here he made the important discovery of the duality between spherical and hyperbolic geometry i.e. that hyperbolic trigonometries can be deduced from spherical trigonometries by using imaginary angles and consequently he introduced the hyperbolic functions for the first time. By illustrating this duality Lambert gave strong evidence of the consistency of non-Euclidean geometries. See Kline's Mathematical Thought from Ancient to Modern Times pp. 404 & 868. </em> unknown
178544970Paris Moutard 1785. 4to. Extracted from "Mémoires fe Mathematique et de Physique Présentés à l'Academie des Sciences par divers Savans" Tome X. Pp. 511-550 a. 2 folded engraved plates. Clean and fine. <br/><br/><em>First appearance of this importent paper by the "greatest geometer of the century" in which he solves some main problems in coordinate geometry especially he introduced the "distant formula" for three dimensions years before it was used by Lagrange. He laid the foundation of a completely new branch of mathematics known as descriptive geometry. The paper was delivered already in 1771 but not published until 1785. "His first important original work was "Memoire sur les développées les rayons de courbure et différents genres d inflexions des courbes á double courbure" He published an extract from it in June 1769 in the Journal encycyclop´matiques and in October 1770 he finished a more complete version that he read before the Academie des Sciences in August 1771; the latter however was not published until 1785 Mémoires de mathématiques et de physique présentés á ’Academic par divers scavanns. By then some of the most important ideas in the memoir no longer seemed so original because Monge had employed them in other works published in the intervening years. Nevertheless this memoir is of exceptional interest for it presents most of the new conceptions that Monge developed in his later works as well as his very personal method of exposition which combined pure geometry analytic geometry and infinitesimal calculus."DSB. </em> unknown
20092081502111901968china map 2009. Soft Cover. Fine. Size: 30cm Hardcover china map paperback
