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 excellent mathematician, F. Claud. Francis Milliet de Chales ... And now made English. And a multitude of errors corrected, which had escap'd in the original.

  • Dechales, Claude-François Milliet, 1621-1678.
Date:
1696
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 excellent mathematician, F. Claud. Francis Milliet de Chales ... And now made English. And a multitude of errors corrected, which had escap'd in the original. Source: Wellcome Collection.

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    | “Let the two . ET aes “right anglespro- . is ‘pos’d be ABC, cB DHF «GS EFH I fy. they De: oes Ue ape equal. For if ‘two equal circles CAD, HEG, be defcrib’d “ from thé centers B and F; the fourth parts of “thofe circles CA, HE, which are thé meafures “of the angles, ABC, EFH, will be equal : “therefore the angles ABC, EFH, having * equal meafures, “will be Cr E. - bte at ° The eleventh’ MaxisyiS¢ Euclid is to this effect. If two lines AB, CD, being cut by a C:/E D third EF, make the internal soho! angles, BEF, DFE, {ef than two right angles; the lines AB, CD being pro- ‘duc'd, will at length concur towards the points B and D. * Which, though it be true, is’ not clear “enough to be receiv’d for a Maxim: therefore * I have’fubltituted another in its place. 11: If two lines be parallel, all the perpen- diculars contain’d betwixt them will:be equal. AE GB * As for example, if the lines AB, lm *CD, are parallels, the perpendi- Se * cular lines FE, HG, are equal. For if EF was greater than GH, “the lines AB and CD, would be more remote | B from.