Volume 2

The elements of Euclid explain'd. In a new, but most easie method, together with the use of every proposition through all parts of the mathematicks / Written in French, by that exccellent [sic] mathematician F. Claud. Francis Milliet de Chales ... And now carefully done into English. And purg'd from a multitude of errors, which had escap'd in the original.

  • Euclid.
Date:
1685
Catalogue details

Licence: Public Domain Mark

Credit: The elements of Euclid explain'd. In a new, but most easie method, together with the use of every proposition through all parts of the mathematicks / Written in French, by that exccellent [sic] mathematician F. Claud. Francis Milliet de Chales ... And now carefully done into English. And purg'd from a multitude of errors, which had escap'd in the original. Source: Wellcome Collection.

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    6. The Exireams of a Superficies are Lines. 7. À plane or right Superficies is that, whofe dines are equally plac 4 between its two Extreams 3 Or that, to whith a right line maybe every way apply 4. A D Lhave before obferv'd, that fT TLL {| ‘ motion may produce any quan” rho ea LH HU EN accordingly Ci “we fay, when one line moves PEt 1 ] cover another, it produces a Su- B © éperfcies, or a Plane; and chat “chat motion has a kind of affinicy with Arith- € merical Multiplication. Suppofe then the μπε AB co pals along the line BC, retaining © fill che fame fcuation, without any inclination το one fide or other: che point A will defcribe “the line AD, che poinc Bthe line BC, and ‘the intermediate points the lines parallel to € chofe, which will make up the Superiicies A «Ρο D. 1 add further, that this motion anfivers “co Arithr vertical Multi plication ; becaufe did € I know che number of points that are-c contain 4 © in both chofe lines, AB, and DC; by ‘mula- * plying them togerher, { thould find a produét, “which would give me.the number of points, € which confiture che whole fuperficies ABCD, © As for example, if AB contain d four points, , | “and BC fax, by faying four times fix make: |} “cwenty four, I find, chat the whole fuperficies : | © ABCD confifts of twenty four points. Now: li: by |