Draft proposals for calendar reformIsaacNewtonc.1,099 wordsThe Newton ProjectFalmer2009Newton Project, University of Sussex

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'Regulæ pro determinatione Paschæ' (draft and fair copy) [Yahuda Ms. 24e]Yahuda Ms. 24Draft proposals for rectifying the Julian calendar [Yahuda Ms. 24c]IsraelJerusalemNational Library of IsraelYahuda MssYahuda Ms. 24dSL222

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1699 and laterEnglandEnglishLatinHolograph

A number of jotted calculations at the beginning of the document have been omitted from the transcription.

ReligionChronologyCatalogue information compiled by Rob Iliffe, Peter Spargo & John YoungTagged transcription by John YoungProofed by Robert IliffeCatalogue exported to teiHeader by Michael Hawkins

10′. 48″ // 10′. 56″. 64 // 11′. ″ 13′. 92 // 11′. 31″. 2 facit in annis 5000 facit 37$\frac{1}{2}$, 38, 39, 40 dies respective.Observationes HipparchiAnnoPeriodi 3 CalippiAnte ChristūumAlexandriæTemp. appar GrenoviciTemp. med GrenoviciLocus ☉ ex calculo si annus 365$\frac{1}{4}$ dies − 11′17162Sept 27 sub occas. ☉27.d 3.h 44′20159Sept 27 sub ort ☉26. 15. 4421158Sept 27 in ips. merid.26. 21. 44232147Sept 26 media nocte26. 9. 44323146Sept 27 mane26. 15. 4432146Mar 24 mane et iterūumhora diei 5ta23. 15. 44 & 23. 20. 4436143Sept. 26 vesp.26. 3. 4443135Mart 23 circa med. noct23. 9. 4449128Mart 23 sub occas. ☉23. 3. 44162Sept 267. 13$\frac{1}{4}$26. 22. 59158Sept 27. 12$\frac{1}{2}$26. 22. 14146Sept 27. 10$\frac{1}{4}$26. 2019. 59159Sept. 27. 1$\frac{3}{4}$26. 11. 29147Sept. 276. 23$\frac{1}{2}$26. 9. 14143Sept. 26 22$\frac{3}{4}$26 8. 2917162.Sept. 27. 00.4427. 06. 0− 5. 1620159Sept. 276. 178.1126. 18. 0+ 0. 1121158Sept. 27. 00.0027. 00. 0+ 0. 0032147Sept. 26. 15.5926. 12. 0+ 3. 5933146Sept. 26. 21.4826. 18. 0+ 3. 4836143Sept. 26. 15.1526. 06. 0+ 9. 1532146Mar 23. 20. 123. 20. 30.(6) + 12. 29 (2. 5 − 0. 2943135Mar 23. 12. 023. 12. 0− 0. 049128Mar 23. 4.4323. 06. 0− 1. 1750.3) − 1. 46 (35$\frac{1}{3}$ − 7.′ 14″ æq. t.Diff merid 2h 15′Diff merid 2h 15′Temp appar mediocre cor AlexandTemp appar GrenoviciAlexandTemp. appar. Grenovici27. 8. 526. 22. 3926. 20. 2426. 20. 526. 16. 626. 13. 5127. 2. 526. 21. 5526. 19.4026. 14. 526. 13. 5426. 11. 3926. 20. 526. 19. 4326. 17. 2826. 8. 526. 13. 1026. 9. 5523. 20. 3623 18. 2123. 12. 3523. 10. 2023. 5. 1823. 3. 3And at yethe end of every 500 years the larger period of lunar months wchwhich shall or should be then running shall contein only 45 m lunar months & consist ofthe three lesser periods each of wchwhich shallof wchwhich that larger period consists shall each of them contein only 15 lunar months, the two last months of the two periods co conteining 17 months being then omitted.The advantage of this Calendar above yethe Gregorian in respect of the solar y is that in yethe Gregorian the Solar year errs a day in 5000 years in this it errs a day & by that error recedes from yethe state it had in yethe age of Christ, in this it errs a day in 10000 years & by that error approaches the state it had in yethe age of Christ so that in 30000 years it will a the equinox will fall on yethe 24th of March as it did in yethe age of Christ & in 110000 years the beginning of Ianuary will fall on yethe winter solstice as it ought to do. Also yethe recconing by 500, 1000, 1500 &c runs in rounder & fewer numbers then that by 400, 800, 1200, 1600. And tho yethe Kalendars differ yet yethe stilesthey will agree in stile for 700 years to come.1vThe advantage in respect of yethe Lunar year is that much greater. For in the Gregorian Kalendar the full Moon on wchwhich Easter depends requires is not to be found wthwith out yethe help of three or four Tables, & when you have that full moon there is no rule in that Kalendar for finding yethe other full moons & yethe new moons throughout yethe year. But in this Kalendar all the new & full Moons are found perpetually without any Tables at all or any other recconing then yethe continuall addition of yethe230 & 29 days wchwhich is so very easy a work that any Novice may perform it. And besides this rule is exacter then yethe Gregorian for that errs thre hours & t in 239 years this errs but 3 hours in five hundred years.Folio 2r is blank. A series of calculations on f. 2v is here omitted from the transcription.3rThe advantage of this Kalendar above yethe Gregorian in respect of yethe solar year is that yethe solar year in yethe Gregorian errs a day in 5000 years & by that error recedes from yethe state it had in yetheage of Christ, in this it errs a day in 10000 years & by that error approaches the state it had in yethe age of Christ so that in 30000 years the equinox will fall on yethe 24th of March as it did in yethe age of Christ & in 110000 years the beginning of Ianuary will fall on yethe winter solstice as it ought to do. Also the recconing by 500, 1000, 1500 &c runs in rounder & fewer numbers then that by 400, 800, 1200, 1600 &c. And tho yethe Kalendars differ yet they will agree in stile for 700 years to come.The advantage in respect of yethe Lunar year is much greater. For in yethe Gregorian Kalendar yethe full Moon on wchwhich Easter depends is not to be found wthwithout the help of three or four Tables, and when you have that full moon there is no rule in that Kalendar for finding the other full moons & yethenew moons throughout yethe year. But in this Kalendar all yethenew & full moons are found perpetually wthwithout any Tables or any other recconing then yethe continual addition of 30 & 29 days alternately wchwhich is so very easy a work that any Novice may perform it. And besides this rule is much exacter then the Gregorian for that errs three hours in 39 years this errs but 3 hours in 500 years, & may be corrected eveyevery 500 years to keep it exact.