The Way To Geometry

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Petrus Ramus. The Way To Geometry

TO THE. WORSHIPFVL

The Authors Preface

THE FIRST BOOKE OF Peter Ramus's Geometry, Which is of a Magnitude

The second Booke of Geometry. Of a Line

The third Booke of Geometry. Of an Angle

The fourth Booke, which is of a Figure

The fifth Booke, of Ramus his Geometry, which is of Lines and Angles in a plaine Surface

Of Geometry, the sixt Booke, of a Triangle

Of Geometry, the seventh Booke, Of the comparison of Triangles

Of Geometry the eight Booke, of the diverse kindes of Triangles

The ninth Booke, of P. Ramus Geometry, which intreateth of the measuring of right lines by like right-angled triangles

The tenth Booke of Geometry, of a Triangulate and Parallelogramme

Of Geometry, the eleventh Booke, of a Right angle

Of Geometry the twelfth Booke, Of a Quadrate

Of Geometry, the thirteenth Booke, Of an Oblong

The fourteenth Booke, of P. Ramus Geometry: Of a right line proportionally cut: And of other Quadrangles, and Multangels

The fifteenth Booke of Geometry, Of the Lines in a Circle

The sixteenth Booke of Geometry, Of the Segments of a Circle

Of Geometry the seventeenth Booke, Of the Adscription of a Circle and Triangle

Of Geometry, the eighteenth Booke, Of the adscription of a Triangulate

Of Geometry the ninteenth Booke; Of the Measuring of ordinate Multangle and of a Circle

Of Geometry the twentieth Booke, Of a Bossed surface

Geometry, the one and twentieth Book, Of Lines and Surfaces in solids

The twenty second Booke, of P. Ramus Geometry, Of a Pyramis

The twenty third Booke of Geometry, of a Prisma

Of Geometry the twentie fourth Book. Of a Cube

Of Geometry the twenty fifth Booke; Of mingled ordinate Polyedra's

Of Geometry the twenty sixth Booke; Of a Spheare

Of Geometry the twenty seventh Book; Of the Cone and Cylinder

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Two things, I feare me, will here be objected against me: The one concerneth my selfe, directly: The other mine Author, and the worke I have taken in hand the translating of him. Concerning my selfe, I suppose, some will aske, Why I being a Divine; should meddle or busie my selfe with these prophane studies? Geometry may no way further Divinity, and therefore is no fit study for a Divine? This objection seemeth to smell of Brownisme, that is, of a ranke peevish humour overflowing the stomach of some, whereby they are caused to loath all manner of solid learning, yea of true Divinity it selfe, and therefore it doth not deserve an answer: And this we in our Title before signified. For we have not taken this paines for Turkes and others, who by the lawes of their profession are bound to abandon all manner of learning. But if any man shall propose it, as a question, with a desire of satisfaction, we are ready to answer him to the best of our abilitie. First, that Theologia vera est ars artium & scientia scientiarum, Divinity is the Art of Arts, and Science of Sciences; or Divinity is the Mistresse upon which all Arts and Sciences are to attend as servants and handmaides. And why then not Geometry? But in what place she should follow her, I dare not say: For I am no herald, and therefore I meddle not with precedencie: But if I were, she should be none of the hindermost of her traine.

The Oratour saith, and very truly doubtlesse, That, Omnes artes, quæ ad humanitatē pertinent, habent commune quoddam vinculum, & cognatione quadam inter se continentur. All Arts which pertaine unto humanity, they have a certaine common bond, and are knit together by a kinde of affinity. If then any Arts and Sciences may be thought necessary attendants upon this great Lady; Then surely Geometry amongst the rest must needes be one: For otherwise her traine will be but loose and shattered.

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This definition of it selfe is somewhat obscure, and to be understand onely in a geometricall sense: And it dependeth especially of the common bounde. For the parts (which here are so called) are nothing in the whole, but in a potentia or powre: Neither indeede may the whole magnitude bee conceived, but as it is compact of his parts, which notwithstanding wee may in all places assume or take as conteined and continued with a common bound, which Aristotle nameth a Common limit; but Euclide a Common section, as in a line, is a Point, in a surface, a Line: in a body, a Surface.

5. A bound is the outmost of a Magnitude.

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