Other editions of book An introduction to geometry; containing the most useful propositions in Euclid, & other authors ...

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1768 edition. Excerpt: ...Defg paffing through the points A and B, to revolve, or turn about the line Ab as an axis, till it falls upon the point c, and there remains at reft. Now the points A, B, C are in the plain Defg.-above Therefore, the lines Ab, Bc, Ca are alfo in the plain Defg-------6 Confequentjy, the three fides of any plain triangle, are ia one plain.: 248. Corollary. Aplain niill pafs through any two /trait lines which meet each ether. 2 249. The Let the plains Ab, Cd cut one another in E and r, and join Ef; then the ftrait line Ef is their commoa iedion. For the points e and F being in the plain Ab, the itrait line E F will agree with the faid plain--6 By the fame reafon, the line Ef will agree with the plain Cd--------Th. the ftrait line Ef muft be their common fe&ion. Remark. If marry plains pa/s thro two points B and F, tit ftrait line if is the common Jeclion of them all.,,.4 t 1 f 153' 3 2JO. If a flrait line ftands at right dngfeito (wo Jirait lines cutting one another, at the point of feBient it will he perpendicular to the plain in which thoje lines are Jituate.-. F „ Let the line Ef (land at right angles to the lines Ab, co cutting each other in E; then Ef is perpendicular to the plain Acbd. For take Ea, Ec, Eb, Ed equal to one another, join Att, Cb, draw Geh at pleafure meeting Ad, Cb in p and H, and join Fa, Fg, Fd, Fb, Fh, Fc. Now Ea, Ed, Eb, Ec are equal--con. And the contained angles Aed, Bec are equal-70 Th. the angle Gae--Ebh, and Ad--Ec--62 But the angle Aeg = Beh----79' Therefore---AO = Bh, and Ge = Eh--77 2. The angles Fea,'fed, Feb, Fec are equal-54. Th. Fa, Fd, Fb, Fc are equal-62 Th. the angles Fad, Fbc are equal-'-66 3. The fides Fa, Ag are equal to Fb, Bh each to each above And the contained angles Fag, Fbh are...

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.

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>T106919<Notes><imprintFull>London : sold by T. Payne; J. Marks; and M. Hingeston, 1767. <collation>[6],232p. : 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.

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.

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