Correspondence.

A PEEPETUAL MENTAL CALENDAR , "TO THB EDIXOH OF THE SKEEMAS 02 TS' 3 IAGAZIjnj AXD SIASONIC 1 IIREOE . DEAR SIR AND BROTHER , — -Having been for some ¦ time , as you are aware , in possession of a method for ¦ finding the day of the week answering to any day of the month of any yearand which has been found

, exceedingly useful both by myself and others to whom I have communicated it , I take the liberty of laying it before your readers . Utile . —Add together the day of the month , the index of the month , the index of the ' century , the year and its fourth part ( omittinfractions ) divide

g , the sum by 7 , and the remainder will be the day of the week , calling Sunday 1 , Monday 2 , & c . The indices referred to in the above rule are as under : — JMOXTHS . JanuaryOctober 3

, May -t August , February ( leap year ) 5 February , ilarch , November 6 Juno 0 September , December 1 April , July , January ( leap year ) 2 CEXTUKIES . '

Old Style . —AVhen the century divided by 7 leaves a remainder of 0 1 2 . 3 4 5 6 , the indices are 2 1 0 6 5 4 3 respectively . New Style . *—AVhen the century divided by 4 leaves a remainder of 0 12 3 , the indices are 4 2 0 5 respecth ^ elv .

Examples . —On -what flay of tbe week was the battle of "Waterloo , Juno 18 th , 1815 ? 18 th , clay of tho month 13 June , index p . table 0 18 / 00 , 18 divided by 4 loaves a remainder of 2 , therefore index 0 15 , year plus Jth 18

3 G -which divided by 7 loaves a remainder of I—Sunday , ¦ What day of tho month was the first Sunday in Jau ., 1 , 351 ? January 3 ls / oo ; : ; .. 0 51 ( plus its ith ) G 3

( if ! which divided by 7 loaves a remainder of 3 , to which must be addod 5 for Sth day ( which is tho same as 1 st day ) or Sunday ; therefore tho 5 th was tho first Sunday . Thus , what day of tho week was tho 25 th of December , 1 B . C . ? or 25 th of December , 4004 A . M .

25 th 25 December \ 40 / 00 4 4 5 which divided by 7 loaves a remainder 0—Saturday . — - 35 Erom this last example it will be seen hoAv to find the

Sunday letter for any year , for if , as above , the Sth of January , 1851 , was the first Sunday in the year , the fifth letter of the alphabet ( E ) was the Sunday letter . In applying the rule to years B . C . they must first ¦ be reduced to years A . M ., by deducting the given year from 4005 .

I will now make a few remarks for facilitating the remembrance of this rule . It will be perceived that the indices of the centuries may he reduced to the following law : — Old Style . — Divide the century hy 7 , and deduct the remainder from 9 ; the difference will be the index . New Style . —Divide the century by 4 , and deduct twice the remainder from 11 ,- the diiference will be

the index . Note . —Since the first and eighth of a month , or any other interval of seven days , will fall on the same day of the week , it follows that the sevens may be cast out at any stage of the operation . This will account for 0 , the remainder in the last example , being called the seA'enth dayor Saturdayit will

, ; also account for the last two rules for finding the indices of the centuries , sometimes giving a different number from the table . The difference , hoAvever , being always 7 , will , of course , not affect the result . The rule here given appears to be all that can be desired . It is sufiicientlv brief to be committed to

memory ; it applies to any date , either B . C . or A . D ., leap years or common years , and it has no exceptions . To prevent misconception it may be well to mention that , by centuries is here meant the hundreds , and by years , the tens and units of a year . E . g . in the present year 1867 , 18 is called the century , and 67 the year . Tours fraternally , J . H . YOIJNGHIISBAND ,

Prov . J . CD ., and P . Z . 32 and 241 . Liverpool , Sept . ISth , 1867 . [ Bro . J . H . Younghusband , of Liverpool , an accomplished Mason , Avell known not only in Lancashire but throughout England as being one of the most talented , efficient , and obliging Provincial Grand

Officers in the Craft , has forwarded to us the foregoing very interesting communication , which , although not strictly a Masonic production , is , as the result of scientific investigations by a celebrated Freemason , well worthy of a place in our columns . It is , moreover of real practical utility to all who have to deal with dates—ED . E . M . ]

MASONS AT PUBLIC ENTERTAINMENTS . TO THE EDITOR OS THE F & EE 3 TASOXS' MAGAZINE AJfD MASONIC SIIEEOE . DEAR SIR AND BROTHER , — I trust you will pardon me for thrusting this scrap on your notice , but I do so in order to have your opinion regarding some of the points of which your Masonic knowledge

will not require to be informed of . It is , I am sorry to say , a general thing in this quarter for managers of shows , circuses , and concert rooms to ask and obtain Masonic patronage . In all cases of respectability the brethren do what they can to dispose of ticketsand otherwise endeavour to make the benefit

, one of reality . The other night such patronage was given to the circus here , but in some respects it was unprecedented . During the visit of that equestrian establishment several of its members had been initiated in one of our lod andprobablon that score about eight

ges , , y , or nine of the members of that lodge put on their colours and jewels , and thus proceeded to the place of amusement . No doubt this was very complimentary to the