## Epact Sentence Examples

**Epact**Is A Word Of Greek Origin, Employed In The Calendar To Signify The Moon'S Age At The Beginning Of The Year.- Another Addition Of Eleven Gives Thirty Three For The
**Epact**Of The Fourth Year; But In Consequence Of The Insertion Of The Intercalary Month In Each Third Year Of The Lunar Cycle, This**Epact**Is Reduced To Three. - In Like Manner The
Of All The Following Years Of The Cycle Are Obtained By Successively Adding Eleven To The**Epacts****Epact**Of The Former Year, And Rejecting Thirty As Often As The Sum Exceeds That Number. - They Are Therefore Connected With The Golden Numbers By The Formula (I), In Which N Is Any Whole Number; Andor A Whole Lunar Cycle (Supposing The First
**Epact**To Be 11), They Are As Follows: 11, 22, 3, 14, 25, 6, 17, 28, 9, 20, I, 12, 23, 4, 15, 26, 7, 18, 29. - But The Order Is Interrupted At The End Of The Cycle; For The
**Epact**Of The Following Year, Found In The Same Manner, Would Be 29 11=40 Or 10, Whereas It Ought Again To Be 1S To Correspond With The Moon'S Age And The Golden Number 1. - The Reason Of This Is, That The Intercalary Month, Inserted At The End Of The Cycle, Contains Only Twenty Nine Days Instead Of Thirty; Whence, After 11 Has Been Added To The
**Epact**Of The Year Corresponding To The Golden Number 19, We Must Reject Twenty Nine Instead Of Thirty, In Order To Have The**Epact**Of The Succeeding Year; Or, Which Comes To The Same Thing, We Must Add Twelve To The**Epact**Of The Last Year Of The Cycle, And Then Reject Thirty As Before. - In Consequence Of The Solar And Lunar Equations, It Is Evident That The
**Epact**Or Moon'S Age At The Beginning Of The Year, Must, In The Course Of Centuries, Have All Different Values From One To Thirty Inclusive, Corresponding To The Days In A Full Lunar Month. - The Third Column Corresponding To The Golden Number 3, Has For Its First
**Epact**12 = 23; And In The Same Manner All The Nineteen Columns Of The Table Are Formed. - The
**Epact**Of The Following Year Is Therefore Twenty Nine. - The 2Nd Of January Is Therefore The Day Of The New Moon, Which Is Indicated By The
**Epact**Twenty Nine. - In Like Manner, If The New Moon Fell On The 4Th Of December, The
**Epact**Of The Following Year Would Be Twenty Eight, Which, To Indicate The Day Of Next New Moon, Must Correspond To The 3Rd Of January. - When The
**Epact**Of The Year Is Known, The Days On Which The New Moons Occur Throughout The Whole Year Are Shown By Table Iv., Which Is Called The Gregorian Calendar Of.**Epacts** - For Example, The Golden Number Of The Year 1832 Is (= 9 19 R And The
**Epact**, As Found In Table Iii., Is Twenty Eight. - This
**Epact**Occurs At The 3Rd Of January, The 2Nd Of February, The 3Rd Of March, The Znd Of April, The 1St Of May, &C., And These Days Are Consequently The Days Of The Ecclesiastical New Moons In 1832. - From This It Appears That If The Golden Number Of The Year Exceeds Ii, The
**Epact**25, In Six Months Of The Year, Must Correspond To The Same Day In The Calendar As 26; But If The Golden Number Does Not Exceed Ii, That**Epact**Must Correspond To The Same Day As 24. - In Using The Calendar, If The
**Epact**Of The Year Is 25, And The Golden Number Not Above Ii, Take 25; But If The Golden Number Exceeds Ii, Take 25'. - The
**Epact**19' (Also Distinguished By An Accent Or Different Character) Is Placed Table Iii. - It Is, However, Only Used In Those Years In Which The
**Epact**19 Concurs With The Golden Number 19. - Hence, If In That Year The
**Epact**Should Be 19, A New Moon Would Fall On The 2Nd Of December, And The Lunation Would Terminate On The 30Th, So That The Next New Moon Would Arrive On The 3 Ist. - The
**Epact**Of The Year, Therefore, Or 19, Must Stand Beside That Day, Whereas, According To The Regular Order, The**Epact**Corresponding To The 31St Of December Is 20; And This Is The Reason For The Distinction. - Under 9, And In The Line C, We Find The
**Epact**28. - In The Calendar, Table Iv., Look For April, And The
**Epact**28 Is Found Opposite The Second Day. - Under 17, In Line B, The
**Epact**Is 25'. - In The Calendar This
**Epact**First Occurs Before The 2Nd Of December At The 26Th Of November. - Hence We Derive The Following Rule For Finding Easter Sunday From The Tables: 1St, Find The Golden Number, And, From Table Iii., The
**Epact**Of The Proposed Year. - 2Nd, Find In The Calendar (Table Iv.) The First Day After The 7Th Of March Which Corresponds To The
**Epact**Of The Year; This Will Be The First Day Of The Paschal Moon. - Sometimes a misunderstanding has arisen from not observing that this regulation is to be construed according to the tabular full moon as determined from the
**epact**, and not by the true full moon, which, in general, occurs one or two days earlier. - But the fourteenth of this moon falls at the latest on the 18th of April, or 29 days after the 20th of March; for by reason of the double
**epact**that occurs at the 4th and 5th of April, this lunation has only 29 days. - Now, if (1840+1) = 17, and the
**epact**(Table III. - Line C) is 26.2nd, 19 r After the 7th of March the
**epact**26 first occurs in Table III. - In Order To Investigate A Formula For The
**Epact**, Let Us Make E=The True**Epact**Of The Given Year; J =The Julian**Epact**, That Is To Say, The Number The**Epact**Would Have Been If The Julian Year Had Been Still In Use And The Lunar Cycle Had Been Exact;, S =The Correction Depending On The Solar Year; M =The Correction Depending On The Lunar Cycle; Then The Equation Of The**Epact**Will Be E=J S M; So That E Will Be Known When The Numbers J, S, And M Are Determined. - The
**Epact**J Depends On The Golden Number N, And Must Be Determined From The Fact That In 1582, The First Year Of The Reformed Calendar, N Was 6, And J 26. - For The Following Years, Then, The Golden Numbers And
Are As Follows: 1583, N= 7, J=26 Ii 30= 7; 1584, N= 8, J= 7 11 =18; 1585, N= 9, J = 18 Ii =29; 1586, N = To, J = 29 I I 30 10; And, Therefore, In General J = J (N Io(N I)) 30 R On Account Of The Solar Equation S, The**Epacts****Epact**J Must Be Diminished By Unity Every Centesimal Year, Excepting Always The Fourth. - Hence The Correction Of The
**Epact**, W Or The Number Of Days To Be Intercalated After X Centuries Reckoned From The Commencement Of One Of The Periods Of Twenty Five (X I Centuries, Is ? ? - Let (C7) W =A, Then For All Years After 1800 The Value Of M Will Beiven By The Formula (C 18 A), G' Y W Therefore, 3 Counting From The Beginning Of The Calendar In 1582, C 15 A ' M = 3 W By The Substitution Of These Values Of J, S And M, The Equation Of The
**Epact**Becomes E C 16 (C 16 (C 15 A) 3 O R () 4 W 3 W. - The Above Formula For The
**Epact**Is Given By Delambre (Hist. - Having Determined The
**Epact**Of The Year, It Only Remains To Find Easter Sunday From The Conditions Already Laid Down. - The Value Of L Is Always Given By The Formula For The Dominical Letter, And P And 1 Are Easily Deduced From The
**Epact**, As Will Appear From The Following Considerations. - When P =I The Full Moon Is On The 21St Of March, And The New Moon On The 8Th (21 13 =8), Therefore The Moon'S Age On The 1St Of March (Which Is The Same As On The 1St Of January) Is Twentythree Days; The
**Epact**Of The Year Is Consequently Twenty Three. - When P=2 The New Moon Falls On The Ninth, And The
**Epact**Is Consequently Twenty Two; And, In General, When P Becomes I X, E Becomes 23 X, Therefore P E = I X 23 X =24, And P =24 E. - But It Is Evident That When 1 Is Increased By Unity, That Is To Say, When The Full Moon Falls A Day Later, The
**Epact**Of The Year Is Diminished By Unity; Therefore, In General, When 1=4 X, E=23 X, Whence L E =27 And 1=27 E. - By Means Of The Formulae Which We Have Now Given For The Dominical Letter, The Golden Number And The
**Epact**, Easter Sunday May Be Computed For Any Year After The Reformation, Without The Assistance Of Any Tables Whatever.