Other editions of book The Six First: Together With the Eleventh and Twelfth Books of Euclid's Elements, Demonstrated After a New, Plain, and Easie Method

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.Medical theory and practice of the 1700s developed rapidly, as is evidenced by the extensive collection, which includes descriptions of diseases, their conditions, and treatments. Books on science and technology, agriculture, military technology, natural philosophy, even cookbooks, are all contained here.++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification:++++<sourceLibrary>British Library<ESTCID>T131718<Notes>With a list of subscribers.<imprintFull>London : printed by William Pearson, and sold by R. and J. Bonwicke; F. Fayram; and B. Motte, 1726. <collation>[12],267,[1]p. : ill. ; 4°

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Excerpt from The Six First: Together With the Eleventh and Twelfth Books of Euclid's Elements, Demonstrated After a New, Plain, and Easie MethodThe firpc Step added to the fecond Step. The firfi Step added to the Quantity 2 A B. The firfi Step wanting the {econd Step.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

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. 1726 Excerpt: ...Ax. 1.Ц E. D. If the. Secant DA pafs not thro' the Cerner E. PREPARATION. From the Center E, to the Point of Conta& B, draw E B, which (18.) will be perpendicular to the Tangent DB; alfo draw EC. ED, and EF cutting D A, at Right-angles, which 0.) will Bifc£t CA in the Point F. Prop, xxxvn. If the ReBangle contained under the Secant D A, and its external Part D C, be equal to the Square of a Line D B, meeting the Circumference of a Circle А В С F, thai Line D В touches tlx Circle. PREPARATION. From tht Point D, draw (17.) a Tangent D F; alfo from the Center Б, draw EB, ED, EF. I fay, © touting tije Cwcfe DEMONSTRATION. DAxDC = DF#. 36. DAxDC = DB?. Hyp. D¥qz=DBtq. Ax. 1. DF = DB. Ax. 10. EF = EB. Def. 16. 1. E'D is common. DF = DB, EF = EB, ED is common. ¿EFD = ¿EBD. 8. i. EFD is a xL. 18. EBD is a xL ©35 toudjeg tfce Cfrcle,. Cer. Q. E. D, EUCLID'S ELEMENTS, Demonftraced after a New, Plain, and Eafie METHOD. Ai the Line AB. a tötQtöMfoeö f wtt it fatb to be tnfcvibeu in й CiVCle, when the Vertex of each of its A Angles touches the Circumference of the Circle it is inferibed in. Thus the Triangle ABC is inferibed in the B Circlç ABC. L 1 ci r a Circle ist Шь to be oefcribeo about а ШфШп eb ífígure, when its Circumference panes thro' the Vertex of each Angle of the Figure it is faid to be circumfcribed about. Thus the Circle ABC is defcribed about the Triangle ABC а ШьШшъ figure i$ rtato to be oefcribca a bOUt a Circle, when all the Sides of the Figure which: is circumfcrjbed, touch the Periphery of JD the Ciicle. Thus the Triangle EDF, is delcribed about the Circle G H I. a Cir...

Excerpt from The Six First: Together With the Eleventh and Twelfth Books of Euclid's Elements, Demonstrated After a New, Plain, and Easie MethodThe firpc Step added to the fecond Step. The firfi Step added to the Quantity 2 A B. The firfi Step wanting the {econd Step.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.