<1r>
Annis
365 mathML formula d. − 11′. 13″. 92
365 mathML formula − 11′. 31″. 2
365 mathML formula − 10′. 56. 64
365 mathML formula − 10′. 48″Ann. Greg

10′. 48″ // 10′. 56″. 64 // 11′. 13′. 92 // 11′. 31″. 2 in annis 5000 facit 37 mathML formula , 38, 39, 40 dies respective.

Observationes Hipparchi

Anno
Periodi 3 Calippi Ante Christum AlexandriŠ Temp. appar Grenovici Temp. med Grenovici Locus Sun symbol ex calculo si annus 365mathML formula dies − 11′
17 162 Sept 27 sub occas. Sun symbol 27.d 3.h 44′
20 159 Sept 27 sub ort Sun symbol 26. 15. 44
21 158 Sept 27 in ips. merid. 26. 21. 44
32 147 Sept 26 media nocte 26. 9. 44
33 146 Sept 27 mane 26. 15. 44
32 146 Mar 24 mane et iterum hora diei 5ta 23. 15. 44
& 23. 20. 44
36 143 Sept. 26 vesp. 26. 3. 44
43 135 Mart 23 circa med. noct 23. 9. 44
49 128 Mart 23 sub occas. Sun symbol 23. 3. 44
162 Sept 27. 13mathML formula 26. 22. 59
158 Sept 27. 12 mathML formula 26. 22. 14
146 Sept 27. 10 mathML formula 26. 19. 59
159 Sept. 27. 1 mathML formula 26. 11. 29
147 Sept. 26. 23 mathML formula 26. 9. 14
143 Sept. 26 22 mathML formula 26 8. 29
17 162. Sept. 27. 00.44 27. 06. 0 − 5. 16
20 159 Sept. 26. 18.11 26. 18. 0 + 0. 11
21 158 Sept. 27. 00.00 27. 00. 0 + 0. 00
32 147 Sept. 26. 15.59 26. 12. 0 + 3. 59
33 146 Sept. 26. 21.48 26. 18. 0 + 3. 48
36 143 Sept. 26. 15.15 26. 06. 0 + 9. 15
32 146 Mar 23. 20. 1 23. 20. 30. (6) + 12. 29 (2. 5
− 0. 29
43 135 Mar 23. 12. 0 23. 12. 0 − 0. 0
49 128 Mar 23. 4.43 23. 06. 0 − 1. 17
50. 3) − 1. 46 (35 mathML formula

− 7.′ 14″ Šq. t.

Diff merid 2h 15′
Temp appar mediocre cor Alexand Temp appar Alexand Temp. appar. Grenovici
26. 22. 39 26. 20. 24
26. 16. 6 26. 13. 51
26. 21. 55 26. 19.40
26. 13. 54 26. 11. 39
26. 19. 43 26. 17. 28
26. 13. 10 26. 9. 55
23. 20. 36 23 18. 21
23. 12. 35 23. 10. 20
23. 5. 18 23. 3. 3


And at the end of every 500 years the larger period of lunar months which shall or should be then running shall contein only 45 lunar months & the three lesser periods of which that larger period consists shall each of them contein only 15 lunar months, the two last months of the two periods conteining 17 months being omitted.

The advantage of this Calendar above the Gregorian in respect of the solar y is that in the Gregorian the Solar year errs a day in 5000 years & by that error recedes from the state it had in the age of Christ, in this it errs a day in 10000 years & by that error approaches the state it had in the age of Christ so that in 30000 years the equinox will fall on the 24th of March as it did in the age of Christ & in 110000 years the beginning of Ianuary will fall on the 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. And tho the Kalendars differ yet they will agree in stile for 700 years to come.

<1v>

The advantage in respect of the Lunar year is much greater. For in the Gregorian Kalendar the full Moon on which Easter depends is not to be found with out the help of three or four Tables, & when you have that full moon there is no rule in that Kalendar for finding the other full moons & the new moons throughout the year. But in this Kalendar all the new & full Moons are found perpetually without any Tables at all or any other recconing then the continuall addition of 30 & 29 days which is so very easy a work that any Novice may perform it. And besides this rule is exacter then the Gregorian for that errs thre hours in 39 years this errs but 3 hours in five hundred years.

[Editorial Note 1] <3r>

The advantage of this Kalendar above the Gregorian in respect of the solar year is that the solar year in the Gregorian errs a day in 5000 years & by that error recedes from the state it had in the age of Christ, in this it errs a day in 10000 years & by that error approaches the state it had in the age of Christ so that in 30000 years the equinox will fall on the 24th of March as it did in the age of Christ & in 110000 years the beginning of Ianuary will fall on the 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 the Kalendars differ yet they will agree in stile for 700 years to come.

The advantage in respect of the Lunar year is much greater. For in the Gregorian Kalendar the full Moon on which Easter depends is not to be found without 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 & the new moons throughout the year. But in this Kalendar all the new & full moons are found perpetually without any Tables or any other recconing then the continual addition of 30 & 29 days alternately which 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 every 500 years to keep it exact.

[Editorial Note 1] Folio 2r is blank. A series of calculations on f. 2v is here omitted from the transcription.

ę 2013 The Newton Project

Professor Rob Iliffe
Director, AHRC Newton Papers Project

Scott Mandelbrote,
Fellow & Perne librarian, Peterhouse, Cambridge

University of Sussex, East Sussex - BN1 9SH - newtonproject@sussex.ac.uk

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