Attacking the Mathematical Principles as they are found in Books, and withall some Demonstrations, he takes to task _Euclid_ himself, instead of all, as the Master of all Geometricians, and with him his best interpreter, _Clavius_, examining in the _First_ place, the _Principles_ of _Euclid_: _Secondly_, Declaring false, what is superstructed upon them, whether by _Euclid_, or _Clavius_, or any _Geometer_ whatsoever that hath made use of those or other (as he is pleased to entitle them) _false_ Principles. _Thirdly_, Pretending, that he means so to combat all, both Principles and Demonstrations, undertaken by him, as that he will substitute better in their room, least he should seem to undermine the Science it selfe. {254} The particulars, which he undertakes to reform, are, _Punctum._ _Linea._ _Terminus._ _Linea Recta._ _Superficies._ _Superficiei Termini._ _Superficies Plana,_ _Angulus_ (Where he is large upon the _Angulus Contactus._) _Petitio prima Elem. 1. Euclidis._ _Ratio._ _Radix & Latus._ _Prop. 16. El. 3._ _Dimensio Circuli._ _Magnitudo Circuli Hugeniana._ _Sectio Anguli._ _Ratio, quam habet recta composita ex Radio & Tangente 30. grad, ad Radium ipsum._ _Propos. 47ae. Elem. 1. Demonstratio._ _Addita est Appendix de Mediis proportionalibus in genere._ _KING SALOMONS POUTRAITURE OF OLD AGE_; by _John Smith_, M.D. This Treatise being a _Philosophical_ Discourse, though upon a _Sacred_ Theme, may certainly claim a place among _Philosophical_ Transactions. Not here to mention the many other learned Notes, this Worthy Author gives upon that Hieroglyphical Description of Old Age, made by that Royal Pen-man of _Ecclesiastes_, cap. 12. We shall onely take notice of that surprizingly Ingenious one, there to be met with, concerning the Antiquity of the Doctrine of the _Blood's Circulation_: King _Salomon_, who lived neer 2700 years agoe, using such expressions, as may, to a considering Reader, very probably denote the same Doctrine, which the Sagacious Dr. _Harvey_ has of late years so happily brought to light, and introduced into all the most Ingenuous Societies of Learned men: The _Pitcher_, mention'd in the quoted place, being Interpreted for the _Veines_, and the _Fountain_ for the _Right Ventricle of the Heart_, as the _Cistern_ for the _Left_; the _Wheele_, there spoken off, manifestly importing a _Circulation_, made by the _Great Artery_ with its Branches, the principal Instrument thereof. * * * * * Printed with Licence for _John Martyn_, and _James Allestry_, Printers to the Royal Society. 1666. {255} * * * * * _Num._ 15. PHILOSOPHICAL _TRANSACTIONS._ * * * * * _Wednesday_, _July_ 18. 1666. * * * * * The Contents.