The Way To Geometry by Petrus Ramus

Author:Petrus Ramus [Ramus, Petrus]
Language: eng
Format: epub
Tags: Geometry -- Early works to 1800, Mathematics -- Early works to 1800
Published: 2008-10-01T23:00:00+00:00

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Of Geometry the twelfth Booke, Of a Quadrate.

1 A Rectangle is a Quadrate or an Oblong.

This division is made in the proper termes: but the thing it selfe and the subject difference is common out of the angles and sides.

2 A Quadrate is a rectangle equilater 30. d j.

Quadratum, a Quadrate, or square, is a rectangled parallellogramme of equall sides: as here thou seest aeio, to be.

Plaines are with us, according to their diverse natures and qualities, measured with divers and sundry kindes of measures. Boord, Glasse, and Paving-stone are measured by the foote: Cloth, Wainscote, Painting, Paving, and such like, by the yard: Land, and Wood, by the Perch or Rodde.

Of Measures and sundry sorts thereof commonly used and mentioned in histories we have in the former spoken at large: Yet for the farther confirmation of some thing then spoken, and here againe now upon this particular occasion repeated, it shall not be amisse to heare what our Statutes speake of these three sorts here mentioned.

It is ordained, saith the Statute, That three Barley-cornes dry and round, doe make an Ynch: twelve ynches doe make a Foote: three foote doe make a Yard: Five yards and an halfe doe make a Perch: Fortie perches in length, and foure in breadth doe make an Aker. 33. Edwardi 1. De Terris mensurandis. Item, De compositione Ulnarum & Perticarum.

Moreover observe, that all those measures there spoken of were onely lengths: These here now last repeated, are such as the magnitudes by them measured are, in Planimetry, I meane, they are Plaines: In Stereometry they are solids, as hereafter we shall make manifest. Therefore in that which followeth, An ynch is not onely a length three barley-cornes long: but a plaine three barley-cornes long, and three broad. A Foote is not onely a length of 12. ynches: But a plaine also of 12. ynches square, or containing 144. square ynches: A yard is not onely the length of three foote: But it is also a plaine 3. foote square every way. A Perch is not onely a length of 5½. yards: But it is a plot of ground 5½. yards square every way.

A Quadrate therefore or square, seeing that it is equilater that is of equall sides: And equiangle by meanes of the equall right angles, of quadrangles that onely is ordinate.

Therefore

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