This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 Excerpt: ...angles y; and it can be constructed without that assumption. The associated triangle gives us the second side b of the required triangle. This argument depends upon the theorem proved in 41-3, that we can always find H(p) when p is given, and that proved in 45, that given IT(p), we can always find p. 37. Proper and ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 Excerpt: ...angles y; and it can be constructed without that assumption. The associated triangle gives us the second side b of the required triangle. This argument depends upon the theorem proved in 41-3, that we can always find H(p) when p is given, and that proved in 45, that given IT(p), we can always find p. 37. Proper and Improper Points. In the Euclidean Plane two lines either intersect or are parallel. If we speak of two parallels as intersecting at "a point at infinity and assign to every straight line "a point at infinity," so that the plane is completed by the introduction of these fictitious or improper points, we can assert that any two given straight lines in the plane intersect each other. On this understanding we have two kinds of pencils of straight lines in the Euclidean Plane: the ordinary pencil whose vertex is a proper point, and the set of parallels to any given straight line, a pencil of lines whose vertex is an improper point. Also, in this Non-Euclidean Geometry, there are advantages to be gained by introducing fictitious points in the plane. If two coplanar straight lines are given they belong to one of three classes. They may intersect in the ordinary sense; they may be parallel; or they may be not-intersecting lines with a common perpendicular. Corresponding to the second and third classes we introduce two kinds of fictitious or improper points. Two parallel lines are said to intersect at a point at infinity. And every straight line will have two points at infinity, one corresponding to each direction of parallelism. All the lines parallel to a given line in the same sense will thus have a common point--a point at infinity on the line. Two not-intersecting lines have a common perpendicular. The lines ar...
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Add this copy of The Elements of Non-Euclidean Plane Geometry and to cart. $16.27, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of The Elements of Non-Euclidean Plane Geometry and to cart. $26.62, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2022 by Legare Street Press.
Add this copy of The Elements of Non-Euclidean Plane Geometry and to cart. $27.44, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of The Elements of Non-Euclidean Plane Geometry and to cart. $39.71, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2022 by Legare Street Press.
Add this copy of The Elements of Non-Euclidean Plane Geometry and to cart. $82.00, new condition, Sold by Leather Book Shop rated 2.0 out of 5 stars, ships from Delhi, DELHI, INDIA, published 2015 by Facsimile Publisher.
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Seller's Description:
New in New jacket. {Size: 19.68 x 24.13 cms} Presenting an Exquisite Leather-Bound Edition, expertly crafted by the prestigious organization “Rare Biblio” with Original Natural Leather that gracefully adorns the spine and corners. The allure continues with Golden Leaf Printing that adds a touch of elegance, while Hand Embossing on the rounded spine lends an artistic flair. This masterpiece has been meticulously reprinted in 2015, utilizing the invaluable guidance of the original edition published many years ago in 1916. The contents of this book are presented in classic black and white. Its durability is ensured through a meticulous sewing binding technique, enhancing its longevity. Imprinted on top-tier quality paper. A team of professionals has expertly processed each page, delicately preserving its content without alteration. Due to the vintage nature of these books, every page has been manually restored for legibility. However, in certain instances, occasional blurriness, missing segments, or faint black spots might persist. We sincerely hope for your understanding of the challenges we faced with these books. Recognizing their significance for readers seeking insight into our historical treasure, we've diligently restored and reissued them. Our intention is to offer this valuable resource once again. We eagerly await your feedback, hoping that you'll find it appealing and will generously share your thoughts and recommendations. Lang: -English, Pages: -194. If it is a multi-volume set, then it is only a single volume. Product Disclaimer: Kindly be informed that, owing to the inherent nature of leather as a natural material, minor discolorations or textural variations may be perceptible. Explore the FOLIO EDITION (12x19 Inches): Available Upon Request.
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