and desires.  For your declaration of Vieta’s appendicle it is so full and plaine, as you haue aboundantlie satisfyed my desire, for wch I yield you the thankes I ought, onlie in a word tell me whether by it he can solue Copernicus, 5 cap:  of his 5. booke.  The last of Vieta’s probleames you leaue to speake of because (you say) I had a better of you, wch was more vniuersal and more easilie demonstrated, and findeth the point, E. as wel out of the plaine of the triangle giuen, as in the plaine.  I pray here helpe my memorie or vnderstand-inge, for although I haue bethought my selfe vsq ad insaniam, I cannot remember or conceaue what proposition you meane.  If I haue had such a one of you, tel me what one it is and by what tokens I may know it ; If I haue not had, then let me now haue it, for you know how much I loue your things and of all wayes of teaching for richnesse and fullnesse for stuffe and forme, yours vnto me are incomparablie most satisfactorie.  If your leasure giue you leaue imparte also unto me somewhat els of your riches in this argument.

Let me intreate you to advise and direct this bearer Mr. Vaughan wher and how to prouide himselfe of a fit sphere ; that by the contemplation of that our imaginations here may be releued in manie speculations that perplexe our vnderstandings with diagrammed in plano.  He hath monie to prouide doe you but tell him wher the are to be had and what manner of sphere (I meant with what and how manie circles) wilbe most vsefull for vs to thes studies.  After all this I must needs tell you my sorrowes.  God that gaue him, hath taken from me my onlie sun, by continual and strange fits of Epelepsie or Apoloxie, when in apparence, as he was most pleasant and goodlie, he was most healthie, but amongst other things, I haue learnt of you to setle and submit my desires to the will of god ; onlie my wife with more greife beares this affliction, yet now againe she begins to be comforted.  Let me heare fro you and according to your leasure and frindshippe haue directions in the course of studie I am in.  Aboue al things take care of your health, keepe correspondence with Kepler and wherinsoeuer you can haue vse of me, require it with all libertie.  Soe I rest ever,

     Your assured and true friend to be vsed in

     all things that you please.

     Willm Lowër.

     Tra’vent on Mount Martin [in South Wales.] 6 February, 1610.

Let me not make my selfe more able then ther is cause.  I can not order the calculation by the construction you sent me of Vieta’s 3. probleme, to find the distances of C. & D. & B. from the Apegen or the proportion of ia. to ac. the eccentricitie.  I tooke Copernicus, 3. observations in the, 6. chap, of his, 5. booke, therfore helpe here once againe.

     Addressed: To his especiall good friend

     Mr. THO :  HARRYOT at Sion neere London.