Books with author Euclid

Excerpt from The Elements of Euclid: The First Six Books and the Eleventh and Twelfth From the Text of Robert Simson, M. DThe text of the former edition of the work has been adhered to, with such slight variations only as were rendered necessary by the nature of the plan, the pnncipal feature of which was to exhibit the Propositions under the form in which they are usually written by students in the University.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.

Excerpt from The Elements of Euclid: The First Six Books and the Eleventh and Twelfth From the Text of Robert Simson, M. DThe text of the former edition of the work has been adhered to, with such slight variations only as were rendered necessary by the nature of the plan, the pnncipal feature of which was to exhibit the Propositions under the form in which they are usually written by students in the University.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.

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 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...

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. 1884 Excerpt: ...BC is greater than FG. (3) Join EB, EC, EF. It may be proved, as before, that BC-2 BH, FG = 2 FK, and that EH2 + HB2 = EK2 + KF2. Now, since BC is greater than FG, Hyp.... BH is greater than FK, and BH2 greater than FK2. Hence EH2 must be less than EK2, and EH less than EK. 1. The shortest chord that can be drawn through a given point within a circle is that which is perpendicular to the diameter through the point. 2. Of two chords of a circle which intersect each other, and make unequal angles with the diameter drawn through their point of intersection, that which makes the less angle is the greater. 3. If two secants of a circle intersect each other, and make unequal angles with the diameter drawn through their point of intersection, that part which is intercepted by the oce on the secant making the less angle is greater than the corresponding part on the other. 4. Through either of the points of intersection of two circles draw the greatest possible straight line terminated both ways by the O"!8. Draw also the least possible, and show that the two are at right angles to each other. PROPOSITION 16. Theorem. The straight line drawn perpendicular to a diameter of a circle from either end of it, is a tangent to the circle; and every other straight line drawn through the same point cuts the circle Euclid's proof of this proposition is indirect. The one in the text is given by Orontius Finseus (1544), the second part, however, being somewhat simplified. Let ABC be a circle, of which F is the centre and AC a diameter; through C let there be drawn DE JL AC, and any other straight line HK: it is required to prove that DE is a tangent to the Q ABC, and that HK cuts the circle. Take any point G in DE, and join FG; from F draw FL _L HK. I. 12 Because L FCG is r...

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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°

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.

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