selene. esti de to men kath’ helion agein tous eniautous, to peri tas autas horas tou eniautou tas autas thysias tois theois epiteleithai, kai ten men earinen thysian dia pantos kata to ear synteleithai; ten de therinen, kata to theros; homoios de kai kata tous loipous kairous tou etous tas autas thysias piptein.  Touto gar hypelabon prosenes, kai kecharismenon einai tois theois.  Touto d’ allos ouk an dynaito genesthai, ei me hai tropai, kai hai isemeriai peri tous autous topous gignointo.  To de kata selenen agein tas hemeras, toiouton esti; to akolouthos tois tes selenes photismois tas prosegorias ton hemeron ginesthai. apo gar ton tes selenes photismon hai prosegoriai ton hemeron katonomasthesan.  En hei men gar hemerai nea he selene phainetai, kata synaloiphen neomenia prosegoreuthe; en hei de hemerai ten deuteran phasin poieitai, deuteran prosegoreusan; ten de kata meson tou menos ginomenen phasin tes selenes, apo autou tou symbainontos dichomenian ekalesan. kai katholou de pasas tas hemeras apo ton tes selenes photismaton prosonomasan. hothen kai ten triakosten tou menos hemeran eschaten ousan apo autou tou symbainontos triakada ekalesan.] Propositum enim fuit veteribus, menses quidem agere secundum Lunam, annos vero secundum Solem.  Quod enim a legibus & Oraculis praecipiebatur, ut sacrificarent secundum tria, videlicet patria, menses, dies, annos; hoc ita distincte faciebant universi Graeci, ut annos agerent congruenter cum Sole, dies vero & menses cum Luna.  Porro secundum Solem annos agere, est circa easdem tempestates anni eadem sacrificia Diis perfici, & vernum sacrificium semper in vere consummari, aestivum autem in aestate:  similiter & in reliquis anni temporibus eadem sacrificia cadere.  Hoc enim putabant acceptum & gratum esse Diis.  Hoc autem aliter fieri non posset nisi conversiones solstitiales & aequinoctia in iisdem Zodiaci locis fierent.  Secundum Lunam vero dies agere est tale ut congruant cum Lunae illuminationibus appellationes dierum.  Nam a Lunae illuminationibus appellationes dierum sunt denominatae.  In qua enim die Luna apparet nova, ea per Synaloephen, seu compositionem [Greek:  neomenia] id est, Novilunium appellatur.  In qua vero die secundam facit apparitionem, eam secundam Lunam vocarunt.  Apparitionem Lunae quae circa medium mensis fit, ab ipso eventu [Greek:  dichomenian], id est medietatem mensis nominarunt.  Ac summatim, omnes dies a Lunae illuminationibus denominarunt.  Unde etiam tricesimam mensis diem, cum ultima sit, ab ipso eventu [Greek:  triakada] vocarunt.

The ancient Calendar year of the Greeks consisted therefore of twelve Lunar months, and every month of thirty days:  and these years and months they corrected from time to time, by the courses of the Sun and Moon, omitting a day or two in the month, as often as they found the month too long for the course of the Moon; and adding a month to the year, as often as they found the twelve Lunar months too short for the return of the four seasons. Cleobulus,