Clavis geometrica catholica. The geometrical key: or the gate of equations unlock'd: a new discovery of the construction of all equations ... not exceeding the fourth degree; viz. of, linears, quadratics, cubics, biquadratics; and the finding of all their roots ... without the use of mesolable, trisection of angles; without reduction, depression, or any other previous preparation of equations, by a circle, and any ... parabole. And this, by one only general rule ... Fortified with demonstrations / [Thomas Baker].

  • Thomas Baker
Date:
1684
Catalogue details

Licence: Public Domain Mark

Credit: Clavis geometrica catholica. The geometrical key: or the gate of equations unlock'd: a new discovery of the construction of all equations ... not exceeding the fourth degree; viz. of, linears, quadratics, cubics, biquadratics; and the finding of all their roots ... without the use of mesolable, trisection of angles; without reduction, depression, or any other previous preparation of equations, by a circle, and any ... parabole. And this, by one only general rule ... Fortified with demonstrations / [Thomas Baker]. Source: Wellcome Collection.

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    1, X? AA.. <1 J , r THE !TjJ iff* 4 V V* ^ *L>. GEOMETRICAL KEY. t r> ajl fin .it* n r n'-- Some Things truly , very neceflary to be known, are to be premifed^ <yi%. Nature *) r —— * 3 ! / The^Properties J>of a Parabole. .. . / rr \ c Conftru&ion) * • - CHAP. I. ^■■UTII Ji » -d , III P ' J ’ * '• V nthetical Method, requires, that we proceed from a Parabole, as the univerfal Subjell of this Treat ife, unto the Parts, that is, unto thofe Right Lines’ which are conftdered in'the parts of a Parabole, as the principles and caufes; «S»e» 4? length, unto the affections and properties of a Parabole ; that fo way may be made for its conflruUion. * m ■ • ' • *v r ■ ' T s well known to every mean Mathematician, that the A Bale (b Nc) of the Cone fab c) is circular: and the Point (a) is called its Vertex, and the “Right Line ( aZ ) ( which is drawn from the Vertex fa) fZtKCln-er°/ the Circular Bafe ( ZJ is termed its Axe! Which being known, . ' V, - _ i i. , * If the Con* (bac) be cut with a Plane through its ]herC Wl11 refult the Triangle fabf) in whofePlane, draw A O parallel (to either’ of the iTdc< .fuppofe) to the Side ( ac.) In the plane of the'Circular -'-iHh— mtk 2 Bafe : ( * «*> * Cs - A Fig.i. v*. f r - r. > A.V.
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