Torporley’s manuscripts, as has been stated, have often been referred to, and sometimes copied, but their true history and character is explained by Hariot’sWill. There are really but two manuscripts relating to Hariot. The more important one comprises 116 closely-written folio leaves, or 232 pages, all in Torporley’s handwriting. It bears no title or designation. Hence various writers who have seen it, from Collins, Wood, and Dr Zach, have given it different names, such as, _‘Ephemeris Chysometria,’ ‘Congestor opus Matbematicum,’_ etc. but it appears to be nothing more nor less than Torporley’s attempt to pen out such doctrine as he found in Hariot’s papers. The leaves are numbered, 1 to 16 containing a Treatise on Hariot’s Theory of Numbers. Leaves 17 to 25 are tables of the divisors of odd numbers up to 20,300. On the verso of leaf 25 the Theory of Numbers is resumed, extending to the recto of 27. On the verso of leaf 27 begins the treatise on the properties of Triangles and ends on leaf 34. Leaves 35 to 55 comprise examples of Algebraical processes, and leaves 56 to 116 contain Tables (probably tabulæ sinuum ?) up to 180°. On the second leaf the Author speaks of himself as working out, or working on Hariot’s principles, and also as making use of the writings of Vieta. He adds: ‘And since it is our principal design to explain the improvement in this science[the Properties of Numbers and Triangles] discovered by our friend Thomas Hariot; but he neither completely reformed it (which indeed was not necessary) nor gave a full account of it, but only strengthened it where it was defective, and by treating in his own way the points of the science which were heretofore more difficult, rendered them clear and easy.’ This manuscript was probably intended for another printed volume of Hariot’s mathematical works, but owing to the deaths about the same time, 1632, of the venerable editor and the noble patron this work never bore a definite name and never saw the light of the press. CORRECTOR ANALYTICUS Artis pofthumx THOMÆ HARIOTI Vt Mathematici eximij, perraro Vt Philofophi Audentes, frequentius errantis Vt Hominis evanidi, infigniter Ad Fidedigniorem refutationem Philopfeudofophiæ Atomifticæ;, per cum Reducis, et præ cæteris eius Portentis feriò corripiendæ, anathematyzandæq Compendiu Antimonitorfi, et Speciminale exanthorati ia Senioris Na: Torporley. Vt Noverit Arbiter Caveat Emptor. non bene Ripæ Creditur, ipfe Aries etiam nunc Vellera ficcat. _Virgil, Ecl._ iii. 94,95,] This Second Manuscript is a pretentious but small affair. It was manifestly written at Sion College after the _Praxis_ appeared in 1631. It is only the preface or the opening of a growl of envy or disappointment. It shows clearly that Torporley himself was not the editor of the Algebra or Praxis. The above is the pedantic title-page, given line for line and verbatim.