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Book Along Parallel Lines

    Book Details:
  • Author : John Gunn
  • Publisher : john gunn
  • Release : 1989
  • ISBN : 9780522843873
  • Pages : 640 pages

Download or read book Along Parallel Lines written by John Gunn and published by john gunn. This book was released on 1989 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Railways have played an immense part in the history of New South Wales. The parallel lines extended as the population grew and themselves made possible new settlement and new industries. Railways crossed the mountain barriers that surround Sydney and opened up both the vast hinterland and the northern and southern coasts. Railways joined every part of New South Wales to Sydney in a distinctive, centralized pattern. They also joined New South Wales to the neighbouring colonies and states.

Book Elementary College Geometry

Download or read book Elementary College Geometry written by Henry Africk and published by . This book was released on 2004 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book N Gen Math 8  Bundle   20

    Book Details:
  • Author : Kirk Weiler
  • Publisher :
  • Release : 2021-10
  • ISBN : 9781944719371
  • Pages : pages

Download or read book N Gen Math 8 Bundle 20 written by Kirk Weiler and published by . This book was released on 2021-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Parallel Lines

    Book Details:
  • Author : Ian Marchant
  • Publisher : Bloomsbury Publishing
  • Release : 2014-12-11
  • ISBN : 1408866226
  • Pages : 387 pages

Download or read book Parallel Lines written by Ian Marchant and published by Bloomsbury Publishing. This book was released on 2014-12-11 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: _________________ 'Compelling... Part Bill Bryson, part Nick Hornby, part memoir and part pastiche ... Light, lively and, above all, right: what every enthusiast should be expected to know' - The Times 'Michael Palin meets Nick Hornby meets What the Victorians Did for Us ... wacky and amiable' - Independent on Sunday 'A gloriously disingenuous front for the most acerbic and humorous criticism of public transport policy ... a more entertaining and incisive read will not be found this year' - Glasgow Herald _________________ A brilliantly witty story of one man's encounter with the British railways For 175 years the British have lived with the railway, and for a long while it was a love affair - the grandeur of the Victorian heyday, the glorious age of steam, the romance of Brief Encounter. Then the love affair turned sour - strikes, bad food, delays, disasters... Parallel Lines tells the story of these two railways: the real railway and the railway of our dreams. Travelling all over Britain, Ian Marchant examines the history of the British railway and meets those who still hold the railways close to their hearts - the model railway enthusiasts, the train-spotters and bashers (a hybrid of train-spotting where the individual - usually male - has to travel behind a certain locomotive in order to catalogue it), the steam enthusiasts. He swaps stories with commuters at the far reaches of London suburbia, he travels to deserted railway museums, and smokes cigarettes on remote, windswept stations in the furthest corners of Scotland, turning his characteristic eye for character, humour and surprise to one of the great shared experiences of the British nation. _________________ 'The trip keeps its pace and purpose, fuelled by the genial, flexible rhythms of the prose and enriched by two centuries of railway-culture hinterland' - Independent

Book Leibniz on the Parallel Postulate and the Foundations of Geometry

Download or read book Leibniz on the Parallel Postulate and the Foundations of Geometry written by Vincenzo De Risi and published by Birkhäuser. This book was released on 2016-01-28 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.

Book Euclid s Window

    Book Details:
  • Author : Leonard Mlodinow
  • Publisher : Simon and Schuster
  • Release : 2010-09-28
  • ISBN : 1439135371
  • Pages : 326 pages

Download or read book Euclid s Window written by Leonard Mlodinow and published by Simon and Schuster. This book was released on 2010-09-28 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

Book Straight Lines  Parallel Lines  Perpendicular Lines

Download or read book Straight Lines Parallel Lines Perpendicular Lines written by Mannis Charosh and published by A & C Black. This book was released on 1970 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: By making believe there are no straight edges or rulers in the world, the reader learns the geometric principles of straight, parallel, and perpendicular lines.

Book Parallel Lines

    Book Details:
  • Author : Peter Lantos
  • Publisher :
  • Release : 2007
  • ISBN : 9781905147571
  • Pages : 0 pages

Download or read book Parallel Lines written by Peter Lantos and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the story of a young boy's journey from a sleepy provincial town in Hungary during the Second World War to the concentration camp in Bergen-Belsen. Peter Lantos revisits his past from the perspective of the present and finally lays to rest the ghosts of his past.

Book Theory of Parallels

    Book Details:
  • Author : Nikolaj Ivanovič Lobačevskij
  • Publisher : Independently Published
  • Release : 2019-05-22
  • ISBN : 9781099688812
  • Pages : 52 pages

Download or read book Theory of Parallels written by Nikolaj Ivanovič Lobačevskij and published by Independently Published. This book was released on 2019-05-22 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." * * * "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevsky's of Geometry from Euclid's noted empirical axiom." Cayley says, "It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevsky constructed a perfectly consistent theory, where- in this axiom was assumed not to hold good, or say a system of non- Euclidean plane geometry. There is a like system of non-Euclidean solid geometry." GEORGE BRUCE HALSTED. 2407 San Marcos Street, Austin, Texas. * * * *From the TRANSLATOR'S INTRODUCTION. "Prove all things, hold fast that which is good," does not mean demonstrate everything. From nothing assumed, nothing can be proved. "Geometry without axioms," was a book which went through several editions, and still has historical value. But now a volume with such a title would, without opening it, be set down as simply the work of a paradoxer. The set of axioms far the most influential in the intellectual history of the world was put together in Egypt; but really it owed nothing to the Egyptian race, drew nothing from the boasted lore of Egypt's priests. The Papyrus of the Rhind, belonging to the British Museum, but given to the world by the erudition of a German Egyptologist, Eisenlohr, and a German historian of mathematics, Cantor, gives us more knowledge of the state of mathematics in ancient Egypt than all else previously accessible to the modern world. Its whole testimony con- firms with overwhelming force the position that Geometry as a science, strict and self-conscious deductive reasoning, was created by the subtle intellect of the same race whose bloom in art still overawes us in the Venus of Milo, the Apollo Belvidere, the Laocoon. In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. Not only at its very birth did this typical product of the Greek genius assume sway as ruler in the pure sciences, not only does its first efflorescence carry us through the splendid days of Theon and Hypatia, but unlike the latter, fanatics cannot murder it; that dismal flood, the dark ages, cannot drown it. Like the phoenix of its native Egypt, it rises with the new birth of culture. An Anglo-Saxon, Adelard of Bath, finds it clothed in Arabic vestments in the land of the Alhambra. Then clothed in Latin, it and the new-born printing press confer honor on each other. Finally back again in its original Greek, it is published first in queenly Basel, then in stately Oxford. The latest edition in Greek is from Leipsic's learned presses.

Book Problems and Solutions in Euclidean Geometry

Download or read book Problems and Solutions in Euclidean Geometry written by M. N. Aref and published by Courier Corporation. This book was released on 2010-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.

Book Learn Clip Studio Paint

Download or read book Learn Clip Studio Paint written by Liz Staley and published by Packt Publishing Ltd. This book was released on 2018-12-20 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take your comics and illustrations to the next level with the powerful art tools in Clip Studio Paint 1.8 Key FeaturesOvercome “interface overwhelm” with a practical breakdown of the Clip Studio interfaceComprehensive guide on the Clip Studio Paint with detailed coverage of all the tools and concepts of designing comics Streamline your workflow to create faster and easier using Clip Studio’s featuresBook Description Clip Studio Paint, the successor to Manga Studio, is used by over four million illustrators and comic creators around the world. This book will guide you through every step of learning this software, from system requirements and installation, all the way through to exporting your work for print or the web. Learn how to create new documents, customize tools to fit your working style, use ruler tools to create anything from straight lines to intricate backgrounds, add 3D elements, create comic panels using the specialized panel tools, utilize screentones and materials, add text and word balloons to your comics, create sound effects, easily flat and color your comics using reference layers, and bring your drawings to life using the animation features. By the end of this book, you will be able to navigate the Clip Studio Interface and program preferences, customize the various tools, and be able to create your own black-and-white and color illustrations and comics from start to finish. What you will learnUnderstand the differences between Clip Studio Paint Pro and EXDiscover how to navigate and customize the user interface Creating custom tools that fit your unique style of illustrationUsing the ruler tools to create intricate perspective shots and complex symmetryDiscover how to use 3D elements in your workLearn how to create lettering and word balloons to bring your comic stories to lifeUnderstand the process of digital art creation from pencils to inks to colorUnderstand how to use the animation tools available in Clip Studio PaintWho this book is for If you are a beginning digital artist or are switching to Clip Studio from another graphics software, this book is for you. This book is excellent for those with no knowledge of digital art up to intermediate users looking to explore the unique features of Clip Studio Paint.

Book Parallel Lines

    Book Details:
  • Author : Kenny Wright
  • Publisher :
  • Release : 2015-07-04
  • ISBN : 9780692484098
  • Pages : 186 pages

Download or read book Parallel Lines written by Kenny Wright and published by . This book was released on 2015-07-04 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part one of Parallel Lines: An Experiment in Temptation"I don't want an open marriage, but if you're interested, then maybe we could try an experiment."Megan and Malik Trammell have been together for over ten years. They have love. They have great jobs. They have three kids. And they are suddenly each faced with a nearly irresistible temptation.David McKinley is young and hung, a junior lawyer at Meg's firm, where she finds herself wanting to break every rule in the book. Elena Maskova looks like a model and her wicked smile hints hints at a willingness to do just about anything.So they try something new--they have decided to have flings. Only one rule: no lies.Find out what happens when their mutual adventure begins to diverge.

Book Euclid s Elements

Download or read book Euclid s Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Book Visual Complex Analysis

Download or read book Visual Complex Analysis written by Tristan Needham and published by Oxford University Press. This book was released on 1997 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Book Experiencing Geometry

Download or read book Experiencing Geometry written by David Wilson Henderson and published by Prentice Hall. This book was released on 2005 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

Book Parallel Coordinates

    Book Details:
  • Author : Alfred Inselberg
  • Publisher : Springer Science & Business Media
  • Release : 2009-08-15
  • ISBN : 0387686282
  • Pages : 571 pages

Download or read book Parallel Coordinates written by Alfred Inselberg and published by Springer Science & Business Media. This book was released on 2009-08-15 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one book that can genuinely be said to be straight from the horse’s mouth. Written by the originator of the technique, it examines parallel coordinates as the leading methodology for multidimensional visualization. Starting from geometric foundations, this is the first systematic and rigorous exposition of the methodology's mathematical and algorithmic components. It covers, among many others, the visualization of multidimensional lines, minimum distances, planes, hyperplanes, and clusters of "near" planes. The last chapter explains in a non-technical way the methodology's application to visual and automatic data mining. The principles of the latter, along with guidelines, strategies and algorithms are illustrated in detail on real high-dimensional datasets.