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A61376 Campanalogia: or, The art of ringing improved. With plain and easie rules to guide the practitioner in the ringing all kinds of changes. To which is added, great variety of new peals. Stedman, Fabian, 1631?-1713. 1677 (1677) Wing S5374A; ESTC R32671 83,405 235

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CAMPANALOGIA OR THE ART OF RINGING Improved With plain and easie Rules to guide the Practitioner in the Ringing all kinds of Changes TO Which is added great variety of NEW PEALS LONDON Printed by W. Godbid for W.S. and are to be sold by Langley Curtis in Goat-Court on Ludgate-hill 1677. TO THE HONOURED AND TO His much Esteemed FRIENDS The Members of the Society of COLLEDG YOUTHS Gentlemen AS your Society even ab origine hath deservedly acquired an eminency in many respects above others of this kind so more especially for the pregnancy of its Members in the composing of Peals For when the Art of Cross-pricking lay enveloped in such obscurity that it was thought impossible that double Changes on five bells could be made to extend farther than ten and triple and double Changes on six farther than sixty then it was that a worthy and knowing Member of your Society to dissipate those mists of Ignorance and to usher in the bright morn of Knowledg prickt those much applauded Peals of Grandsire and Grandsire Bob which for their excellency have for many years together continued triumphant in practice amidst all others whatsoever and which indeed have been a great light in the production of that great variety of new Peals herein contained the greatest part of which being also the off-spring of your Society I therefore thought fit to usher them into the world under the wings of your Protection Gentlemen as a member I held my self obliged to add my Mite to your full fraught Treasury of Speculative and Practical Knowledg of this kind though I confess your acquisition on this account will be very mean since my want of ability sufficient to undertake a thing of this nature and also want of opportunity by converse with others to supply my own defects have rendred the Book less acceptable than it might have been done by some more knowing head and acuter Pen. And although I am conscious that it meriteth not your acceptance yet I assume the confidence to believe that you will favour it with a kind entertainment amongst you and the rather for that I know you are too judicious to sentence it without first casting into the ballance of your indifferent judgments some Grains of Allowance The countenance you shew it will silence Detractors and be Armour of proof against the fools bolts which may happen to be soon shot at the Author who is Gentlemen A constant Well-wisher to the Prosperity though an unworthy member of your Society F. S. ERRATA Courteous Reader SOme few faults have escaped the Press as pag. 27 line the 4th for grateful read graceful page 31. line the 19th for imitatieg read imitating with some others which you are desired either candidly to amend or tacitly to pass over OF THE ART OF Changes THese clear dayes of Knowledge that have ransackt the dark corners of most Arts and Sciences and freed their hidden mysteries from the bonds of obscurity have also registred this of Ringing in the Catalogue of their Improvements as well the Speculative as the Practick part which of late years remain'd in Embryo are now become perfect and worthy the knowledge of the most ingenious Although the Practick part of Ringing is chiefly the subject of this Discourse yet first I will speak something of the Art of Changes its Invention being Mathematical and produceth incredible effects as hereafter will appear But first I will premise a word or two to shew what the nature of those Changes are Some certain number of things are presupposed to be changed or varied as 2. 3. 4. 5. 6. or any greater number whatsoever then the number of things to be so varied must have the like number of fixed places assigned them As if five men were sitting upon five stools in a row the stools are supposed to be fixed places for the five men but the men by consent may move or change to each others places at pleasure yet still sitting in a row as at first now this Art directs how and in what order those five men may change places with each other whereby they may sit sixscore times in a row and not twice alike And likewise a Peal of five Bells being raised up to a fit compass for ringing of Changes are there supposed to have five fixed places which time assigns to their notes or strokes yet the notes of the Bells may change into each others places at pleasure now this Art also directs the manner and method of changing the five notes in such sort that they may strike sixscore times round and not twice alike The numbers of Changes are thus to be discovered Two must first be admitted to be varied two wayes then to find out the Changes in three the Changes on two must be multiplied by three and the product will be six which are the compleat number of Changes on three Those six Changes being multiplied by four will produce 24 which are the compleat number of Changes on four The 24 Changes on four being multiplied by five will produce 120 which are the compleat number of Changes on five And in like manner the 120 being multiplied by six will produce 720 which are the compleat number on six The 720 being multiplied by seven will produce 5040 which are the number of Changes on seven The 5040 being multiplied by eight will produce 40320 which are the number of Changes on eight Those Changes on eight being multiplied by nine will produce 362880 which are the number of Changes on nine Those Changes on nine being multiplied by ten will produce 3628800 which are the number on ten Those on ten being multiplied by eleven will produce 39916800 which are the number on eleven Those also being multiplied by twelve will produce 479001600 which are the compleat number of Changes on twelve And if twelve men should attempt to ring all those Changes on twelve Bells they could not effect it in less than seventy five years twelve Lunar Months one week and three days notwithstanding they ring without intermission and after the proportion of 720 Changes every hour Or if one man should attempt to prick them down upon Paper he could not effect it in less than the aforesaid space And 1440 being prickt in a sheet they would take up six hundred sixty five Reams of Paper and upwards reckoning five hundred Sheets to a Ream which Paper at five shillings the Ream would cost one hundred sixty six Pounds five Shillings The reason of the aforesaid Multiplication by which the numbers of Changes are discovered and also that those Products are the true numbers of Changes will plainly and manifestly appear in these following Demonstrations But first two must be admitted to be varied two ways thus 12 21 And then consequently three will make three times as many Changes as two for there are three times two figures to be produced out of three and not twice two the same figures which are to be produced by casting away each of