Short, but yet plain elements of geometry. Shewing how by a brief and easie method, most of what is necessary and useful in Euclid, Archimedes, Apollonius, and other excellent geometricians, both ancient and modern, may be understood / Written in French by F. Ignat. Gaston Pardies. And render'd into English, by John Harris.

  • Ignace-Gaston Pardies
Date:
1725
Catalogue details

Licence: Public Domain Mark

Credit: Short, but yet plain elements of geometry. Shewing how by a brief and easie method, most of what is necessary and useful in Euclid, Archimedes, Apollonius, and other excellent geometricians, both ancient and modern, may be understood / Written in French by F. Ignat. Gaston Pardies. And render'd into English, by John Harris. Source: Wellcome Collection.

    15/184 page 3
    If che Point À move not in ore or more right or ftrait Lines towards C, it muft go crooked, and fo will form a Curve or crooked Line, as ADC. . And from hence alfo ‘tis plain, That any two Points, moving with equal Velocity, will in the fame Time generate equal Lines. 6. When two Lines meet in a Point, the Aper- ture, Diftance or Inclination between them, is call’d an Angle, Which, when the Lines forming it are right or ftrait ones, is called a Reëtilineal Angle ; as A. But if they are crooked, ‘tis called a Curv:- lineal One ; as B. And when one is ftrait and the other crooked, ‘tis called a Mix’d Angle ; as C. N. B. The Lines, forming any Angle, are called sts Legs. YO ALY 7. That Angle is faid to be lefs than another, whofe Legs are more inclined to (or nearer to) each other. Let there be two Lines AB and AC meet- ing in the Point A. If,you ima- gine thofe Lines to be moveable like the Legs of a Pair of Compaffes, and yet faftened together in A, as with a Joint, ‘tis eafie then to con- ceive, that the further they are open- ed, or parted from one another, the greater will be the Angle between them : As on the Contrary, the nearer they are brought together, the more they will incline towards each other, and fe the Angle between them muft be the le(s. B 2 8. 1s
    digitised image 1
    digitised image 2
    digitised image 3