TRIANGULAR NUMBERS, are a kind of polygonal numbers; being the sums of arithmetical progressions, which have 1 for the common difference of their terms.

Thus, from these arithmeticals 1 2 3 4 5 6, are formed the triangular numbers 1 3 6 10 15 21, or the third column of the arithmetical triangle above-mentioned.

The sum of any number n of the terms of the triangular numbers, 1, 3, 6, 10, &c. is =

\frac{n^2}{6} + \frac{n^2}{2} + \frac{n^2}{3}, \text{ or } \frac{n}{1} \times \frac{n+1}{2} \times \frac{n+2}{3}

which is also equal to the number of shot in a triangular pile of balls, the number of rows, or the number in each side of the base, being n.

The sum of the reciprocals of the triangular series, infinitely continued, is equal to 2; viz.

1 + \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8} + \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} + \frac{1}{13} + \frac{1}{14} + \frac{1}{15} + \frac{1}{16} + \frac{1}{17} + \frac{1}{18} + \frac{1}{19} + \frac{1}{20} + \frac{1}{21} + \frac{1}{22} + \frac{1}{23} + \frac{1}{24} + \frac{1}{25} + \frac{1}{26} + \frac{1}{27} + \frac{1}{28} + \frac{1}{29} + \frac{1}{30} + \frac{1}{31} + \frac{1}{32} + \frac{1}{33} + \frac{1}{34} + \frac{1}{35} + \frac{1}{36} + \frac{1}{37} + \frac{1}{38} + \frac{1}{39} + \frac{1}{40} + \frac{1}{41} + \frac{1}{42} + \frac{1}{43} + \frac{1}{44} + \frac{1}{45} + \frac{1}{46} + \frac{1}{47} + \frac{1}{48} + \frac{1}{49} + \frac{1}{50} + \frac{1}{51} + \frac{1}{52} + \frac{1}{53} + \frac{1}{54} + \frac{1}{55} + \frac{1}{56} + \frac{1}{57} + \frac{1}{58} + \frac{1}{59} + \frac{1}{60} + \frac{1}{61} + \frac{1}{62} + \frac{1}{63} + \frac{1}{64} + \frac{1}{65} + \frac{1}{66} + \frac{1}{67} + \frac{1}{68} + \frac{1}{69} + \frac{1}{70} + \frac{1}{71} + \frac{1}{72} + \frac{1}{73} + \frac{1}{74} + \frac{1}{75} + \frac{1}{76} + \frac{1}{77} + \frac{1}{78} + \frac{1}{79} + \frac{1}{80} + \frac{1}{81} + \frac{1}{82} + \frac{1}{83} + \frac{1}{84} + \frac{1}{85} + \frac{1}{86} + \frac{1}{87} + \frac{1}{88} + \frac{1}{89} + \frac{1}{90} + \frac{1}{91} + \frac{1}{92} + \frac{1}{93} + \frac{1}{94} + \frac{1}{95} + \frac{1}{96} + \frac{1}{97} + \frac{1}{98} + \frac{1}{99} + \frac{1}{100} + \frac{1}{101} + \frac{1}{102} + \frac{1}{103} + \frac{1}{104} + \frac{1}{105} + \frac{1}{106} + \frac{1}{107} + \frac{1}{108} + \frac{1}{109} + \frac{1}{110} + \frac{1}{111} + \frac{1}{112} + \frac{1}{113} + \frac{1}{114} + \frac{1}{115} + \frac{1}{116} + \frac{1}{117} + \frac{1}{118} + \frac{1}{119} + \frac{1}{120} + \frac{1}{121} + \frac{1}{122} + \frac{1}{123} + \frac{1}{124} + \frac{1}{125} + \frac{1}{126} + \frac{1}{127} + \frac{1}{128} + \frac{1}{129} + \frac{1}{130} + \frac{1}{131} + \frac{1}{132} + \frac{1}{133} + \frac{1}{134} + \frac{1}{135} + \frac{1}{136} + \frac{1}{137} + \frac{1}{138} + \frac{1}{139} + \frac{1}{140} + \frac{1}{141} + \frac{1}{142} + \frac{1}{143} + \frac{1}{144} + \frac{1}{145} + \frac{1}{146} + \frac{1}{147} + \frac{1}{148} + \frac{1}{149} + \frac{1}{150} + \frac{1}{151} + \frac{1}{152} + \frac{1}{153} + \frac{1}{154} + \frac{1}{155} + \frac{1}{156} + \frac{1}{157} + \frac{1}{158} + \frac{1}{159} + \frac{1}{160} + \frac{1}{161} + \frac{1}{162} + \frac{1}{163} + \frac{1}{164} + \frac{1}{165} + \frac{1}{166} + \frac{1}{167} + \frac{1}{168} + \frac{1}{169} + \frac{1}{170} + \frac{1}{171} + \frac{1}{172} + \frac{1}{173} + \frac{1}{174} + \frac{1}{175} + \frac{1}{176} + \frac{1}{177} + \frac{1}{178} + \frac{1}{179} + \frac{1}{180} + \frac{1}{181} + \frac{1}{182} + \frac{1}{183} + \frac{1}{184} + \frac{1}{185} + \frac{1}{186} + \frac{1}{187} + \frac{1}{188} + \frac{1}{189} + \frac{1}{190} + \frac{1}{191} + \frac{1}{192} + \frac{1}{193} + \frac{1}{194} + \frac{1}{195} + \frac{1}{196} + \frac{1}{197} + \frac{1}{198} + \frac{1}{199} + \frac{1}{200} + \frac{1}{201} + \frac{1}{202} + \frac{1}{203} + \frac{1}{204} + \frac{1}{205} + \frac{1}{206} + \frac{1}{207} + \frac{1}{208} + \frac{1}{209} + \frac{1}{210} + \frac{1}{211} + \frac{1}{212} + \frac{1}{213} + \frac{1}{214} + \frac{1}{215} + \frac{1}{216} + \frac{1}{217} + \frac{1}{218} + \frac{1}{219} + \frac{1}{220} + \frac{1}{221} + \frac{1}{222} + \frac{1}{223} + \frac{1}{224} + \frac{1}{225} + \frac{1}{226} + \frac{1}{227} + \frac{1}{228} + \frac{1}{229} + \frac{1}{230} + \frac{1}{231} + \frac{1}{232} + \frac{1}{233} + \frac{1}{234} + \frac{1}{235} + \frac{1}{236} + \frac{1}{237} + \frac{1}{238} + \frac{1}{239} + \frac{1}{240} + \frac{1}{241} + \frac{1}{242} + \frac{1}{243} + \frac{1}{244} + \frac{1}{245} + \frac{1}{246} + \frac{1}{247} + \frac{1}{248} + \frac{1}{249} + \frac{1}{250} + \frac{1}{251} + \frac{1}{252} + \frac{1}{253} + \frac{1}{254} + \frac{1}{255} + \frac{1}{256} + \frac{1}{257} + \frac{1}{258} + \frac{1}{259} + \frac{1}{260} + \frac{1}{261} + \frac{1}{262} + \frac{1}{263} + \frac{1}{264} + \frac{1}{265} + \frac{1}{266} + \frac{1}{267} + \frac{1}{268} + \frac{1}{269} + \frac{1}{270} + \frac{1}{271} + \frac{1}{272} + \frac{1}{273} + \frac{1}{274} + \frac{1}{275} + \frac{1}{276} + \frac{1}{277} + \frac{1}{278} + \frac{1}{279} + \frac{1}{280} + \frac{1}{281} + \frac{1}{282} + \frac{1}{283} + \frac{1}{284} + \frac{1}{285} + \frac{1}{286} + \frac{1}{287} + \frac{1}{288} + \frac{1}{289} + \frac{1}{290} + \frac{1}{291} + \frac{1}{292} + \frac{1}{293} + \frac{1}{294} + \frac{1}{295} + \frac{1}{296} + \frac{1}{297} + \frac{1}{298} + \frac{1}{299} + \frac{1}{300} + \frac{1}{301} + \frac{1}{302} + \frac{1}{303} + \frac{1}{304} + \frac{1}{305} + \frac{1}{306} + \frac{1}{307} + \frac{1}{308} + \frac{1}{309} + \frac{1}{310} + \frac{1}{311} + \frac{1}{312} + \frac{1}{313} + \frac{1}{314} + \frac{1}{315} + \frac{1}{316} + \frac{1}{317} + \frac{1}{318} + \frac{1}{319} + \frac{1}{320} + \frac{1}{321} + \frac{1}{322} + \frac{1}{323} + \frac{1}{324} + \frac{1}{325} + \frac{1}{326} + \frac{1}{327} + \frac{1}{328} + \frac{1}{329} + \frac{1}{330} + \frac{1}{331} + \frac{1}{332} + \frac{1}{333} + \frac{1}{334} + \frac{1}{335} + \frac{1}{336} + \frac{1}{337} + \frac{1}{338} + \frac{1}{339} + \frac{1}{340} + \frac{1}{341} + \frac{1}{342} + \frac{1}{343} + \frac{1}{344} + \frac{1}{345} + \frac{1}{346} + \frac{1}{347} + \frac{1}{348} + \frac{1}{349} + \frac{1}{350} + \frac{1}{351} + \frac{1}{352} + \frac{1}{353} + \frac{1}{354} + \frac{1}{355} + \frac{1}{356} + \frac{1}{357} + \frac{1}{358} + \frac{1}{359} + \frac{1}{360} + \frac{1}{361} + \frac{1}{362} + \frac{1}{363} + \frac{1}{364} + \frac{1}{365} + \frac{1}{366} + \frac{1}{367} + \frac{1}{368} + \frac{1}{369} + \frac{1}{370} + \frac{1}{371} + \frac{1}{372} + \frac{1}{373} + \frac{1}{374} + \frac{1}{375} + \frac{1}{376} + \frac{1}{377} + \frac{1}{378} + \frac{1}{379} + \frac{1}{380} + \frac{1}{381} + \frac{1}{382} + \frac{1}{383} + \frac{1}{384} + \frac{1}{385} + \frac{1}{386} + \frac{1}{387} + \frac{1}{388} + \frac{1}{389} + \frac{1}{390} + \frac{1}{391} + \frac{1}{392} + \frac{1}{393} + \frac{1}{394} + \frac{1}{395} + \frac{1}{396} + \frac{1}{397} + \frac{1}{398} + \frac{1}{399} + \frac{1}{400} + \frac{1}{401} + \frac{1}{402} + \frac{1}{403} + \frac{1}{404} + \frac{1}{405} + \frac{1}{406} + \frac{1}{407} + \frac{1}{408} + \frac{1}{409} + \frac{1}{410} + \frac{1}{411} + \frac{1}{412} + \frac{1}{413} + \frac{1}{414} + \frac{1}{415} + \frac{1}{416} + \frac{1}{417} + \frac{1}{418} + \frac{1}{419} + \frac{1}{420} + \frac{1}{421} + \frac{1}{422} + \frac{1}{423} + \frac{1}{424} + \frac{1}{425} + \frac{1}{426} + \frac{1}{427} + \frac{1}{428} + \frac{1}{429} + \frac{1}{430} + \frac{1}{431} + \frac{1}{432} + \frac{1}{433} + \frac{1}{434} + \frac{1}{435} + \frac{1}{436} + \frac{1}{437} + \frac{1}{438} + \frac{1}{439} + \frac{1}{440} + \frac{1}{441} + \frac{1}{442} + \frac{1}{443} + \frac{1}{444} + \frac{1}{445} + \frac{1}{446} + \frac{1}{447} + \frac{1}{448} + \frac{1}{449} + \frac{1}{450} + \frac{1}{451} + \frac{1}{452} + \frac{1}{453} + \frac{1}{454} + \frac{1}{455} + \frac{1}{456} + \frac{1}{457} + \frac{1}{458} + \frac{1}{459} + \frac{1}{460} + \frac{1}{461} + \frac{1}{462} + \frac{1}{463} + \frac{1}{464} + \frac{1}{465} + \frac{1}{466} + \frac{1}{467} + \frac{1}{468} + \frac{1}{469} + \frac{1}{470} + \frac{1}{471} + \frac{1}{472} + \frac{1}{473} + \frac{1}{474} + \frac{1}{475} + \frac{1}{476} + \frac{1}{477} + \frac{1}{478} + \frac{1}{479} + \frac{1}{480} + \frac{1}{481} + \frac{1}{482} + \frac{1}{483} + \frac{1}{484} + \frac{1}{485} + \frac{1}{486} + \frac{1}{487} + \frac{1}{488} + \frac{1}{489} + \frac{1}{490} + \frac{1}{491} + \frac{1}{492} + \frac{1}{493} + \frac{1}{494} + \frac{1}{495} + \frac{1}{496} + \frac{1}{497} + \frac{1}{498} + \frac{1}{499} + \frac{1}{500} + \frac{1}{501} + \frac{1}{502} + \frac{1}{503} + \frac{1}{504} + \frac{1}{505} + \frac{1}{506} + \frac{1}{507} + \frac{1}{508} + \frac{1}{509} + \frac{1}{510} + \frac{1}{511} + \frac{1}{512} + \frac{1}{513} + \frac{1}{514} + \frac{1}{515} + \frac{1}{516} + \frac{1}{517} + \frac{1}{518} + \frac{1}{519} + \frac{1}{520} + \frac{1}{521} + \frac{1}{522} + \frac{1}{523} + \frac{1}{524} + \frac{1}{525} + \frac{1}{526} + \frac{1}{527} + \frac{1}{528} + \frac{1}{529} + \frac{1}{530} + \frac{1}{531} + \frac{1}{532} + \frac{1}{533} + \frac{1}{534} + \frac{1}{535} + \frac{1}{536} + \frac{1}{537} + \frac{1}{538} + \frac{1}{539} + \frac{1}{540} + \frac{1}{541} + \frac{1}{542} + \frac{1}{543} + \frac{1}{544} + \frac{1}{545} + \frac{1}{546} + \frac{1}{547} + \frac{1}{548} + \frac{1}{549} + \frac{1}{550} + \frac{1}{551} + \frac{1}{552} + \frac{1}{553} + \frac{1}{554} + \frac{1}{555} + \frac{1}{556} + \frac{1}{557} + \frac{1}{558} + \frac{1}{559} + \frac{1}{560} + \frac{1}{561} + \frac{1}{562} + \frac{1}{563} + \frac{1}{564} + \frac{1}{565} + \frac{1}{566} + \frac{1}{567} + \frac{1}{568} + \frac{1}{569} + \frac{1}{570} + \frac{1}{571} + \frac{1}{572} + \frac{1}{573} + \frac{1}{574} + \frac{1}{575} + \frac{1}{576} + \frac{1}{577} + \frac{1}{578} + \frac{1}{579} + \frac{1}{580} + \frac{1}{581} + \frac{1}{582} + \frac{1}{583} + \frac{1}{584} + \frac{1}{585} + \frac{1}{586} + \frac{1}{587} + \frac{1}{588} + \frac{1}{589} + \frac{1}{590} + \frac{1}{591} + \frac{1}{592} + \frac{1}{593} + \frac{1}{594} + \frac{1}{595} + \frac{1}{596} + \frac{1}{597} + \frac{1}{598} + \frac{1}{599} + \frac{1}{600} + \frac{1}{601} + \frac{1}{602} + \frac{1}{603} + \frac{1}{604} + \frac{1}{605} + \frac{1}{606} + \frac{1}{607} + \frac{1}{608} + \frac{1}{609} + \frac{1}{610} + \frac{1}{611} + \frac{1}{612} + \frac{1}{613} + \frac{1}{614} + \frac{1}{615} + \frac{1}{616} + \frac{1}{617} + \frac{1}{618} + \frac{1}{619} + \frac{1}{620} + \frac{1}{621} + \frac{1}{622} + \frac{1}{623} + \frac{1}{624} + \frac{1}{625} + \frac{1}{626} + \frac{1}{627} + \frac{1}{628} + \frac{1}{629} + \frac{1}{630} + \frac{1}{631} + \frac{1}{632} + \frac{1}{633} + \frac{1}{634} + \frac{1}{635} + \frac{1}{636} + \frac{1}{637} + \frac{1}{638} + \frac{1}{639} + \frac{1}{640} + \frac{1}{641} + \frac{1}{642} + \frac{1}{643} + \frac{1}{644} + \frac{1}{645} + \frac{1}{646} + \frac{1}{647} + \frac{1}{648} + \frac{1}{649} + \frac{1}{650} + \frac{1}{651} + \frac{1}{652} + \frac{1}{653} + \frac{1}{654} + \frac{1}{655} + \frac{1}{656} + \frac{1}{657} + \frac{1}{658} + \frac{1}{659} + \frac{1}{660} + \frac{1}{661} + \frac{1}{662} + \frac{1}{663} + \frac{1}{664} + \frac{1}{665} + \frac{1}{666} + \frac{1}{667} + \frac{1}{668} + \frac{1}{669} + \frac{1}{670} + \frac{1}{671} + \frac{1}{672} + \frac{1}{673} + \frac{1}{674} + \frac{1}{675} + \frac{1}{676} + \frac{1}{677} + \frac{1}{678} + \frac{1}{679} + \frac{1}{680} + \frac{1}{681} + \frac{1}{682} + \frac{1}{683} + \frac{1}{684} + \frac{1}{685} + \frac{1}{686} + \frac{1}{687} + \frac{1}{688} + \frac{1}{689} + \frac{1}{690} + \frac{1}{691} + \frac{1}{692} + \frac{1}{693} + \frac{1}{694} + \frac{1}{695} + \frac{1}{696} + \frac{1}{697} + \frac{1}{698} + \frac{1}{699} + \frac{1}{700} + \frac{1}{701} + \frac{1}{702} + \frac{1}{703} + \frac{1}{704} + \frac{1}{705} + \frac{1}{706} + \frac{1}{707} + \frac{1}{708} + \frac{1}{709} + \frac{1}{710} + \frac{1}{711} + \frac{1}{712} + \frac{1}{713} + \frac{1}{714} + \frac{1}{715} + \frac{1}{716} + \frac{1}{717} + \frac{1}{718} + \frac{1}{719} + \frac{1}{720} + \frac{1}{721} + \frac{1}{722} + \frac{1}{723} + \frac{1}{724} + \frac{1}{725} + \frac{1}{726} + \frac{1}{727} + \frac{1}{728} + \frac{1}{729} + \frac{1}{730} + \frac{1}{731} + \frac{1}{732} + \frac{1}{733} + \frac{1}{734} + \frac{1}{735} + \frac{1}{736} + \frac{1}{737} + \frac{1}{738} + \frac{1}{739} + \frac{1}{740} + \frac{1}{741} + \frac{1}{742} + \frac{1}{743} + \frac{1}{744} + \frac{1}{745} + \frac{1}{746} + \frac{1}{747} + \frac{1}{748} + \frac{1}{749} + \frac{1}{750} + \frac{1}{751} + \frac{1}{752} + \frac{1}{753} + \frac{1}{754} + \frac{1}{755} + \frac{1}{756} + \frac{1}{757} + \frac{1}{758} + \frac{1}{759} + \frac{1}{760} + \frac{1}{761} + \frac{1}{762} + \frac{1}{763} + \frac{1}{764} + \frac{1}{765} + \frac{1}{766} + \frac{1}{767} + \frac{1}{768} + \frac{1}{769} + \frac{1}{770} + \frac{1}{771} + \frac{1}{772} + \frac{1}{773} + \frac{1}{774} + \frac{1}{775} + \frac{1}{776} + \frac{1}{777} + \frac{1}{778} + \frac{1}{779} + \frac{1}{780} + \frac{1}{781} + \frac{1}{782} + \frac{1}{783} + \frac{1}{784} + \frac{1}{785} + \frac{1}{786} + \frac{1}{787} + \frac{1}{788} + \frac{1}{789} + \frac{1}{790} + \frac{1}{791} + \frac{1}{792} + \frac{1}{793} + \frac{1}{794} + \frac{1}{795} + \frac{1}{796} + \frac{1}{797} + \frac{1}{798} + \frac{1}{799} + \frac{1}{800} + \frac{1}{801} + \frac{1}{802} + \frac{1}{803} + \frac{1}{804} + \frac{1}{805} + \frac{1}{806} + \frac{1}{807} + \frac{1}{808} + \frac{1}{809} + \frac{1}{810} + \frac{1}{811} + \frac{1}{812} + \frac{1}{813} + \frac{1}{814} + \frac{1}{815} + \frac{1}{816} + \frac{1}{817} + \frac{1}{818} + \frac{1}{819} + \frac{1}{820} + \frac{1}{821} + \frac{1}{822} + \frac{1}{823} + \frac{1}{824} + \frac{1}{825} + \frac{1}{826} + \frac{1}{827} + \frac{1}{828} + \frac{1}{829} + \frac{1}{830} + \frac{1}{831} + \frac{1}{832} + \frac{1}{833} + \frac{1}{834} + \frac{1}{835} + \frac{1}{836} + \frac{1}{837} + \frac{1}{838} + \frac{1}{839} + \frac{1}{840} + \frac{1}{841} + \frac{1}{842} + \frac{1}{843} + \frac{1}{844} + \frac{1}{845} + \frac{1}{846} + \frac{1}{847} + \frac{1}{848} + \frac{1}{849} + \frac{1}{850} + \frac{1}{851} + \frac{1}{852} + \frac{1}{853} + \frac{1}{854} + \frac{1}{855} + \frac{1}{856} + \frac{1}{857} + \frac{1}{858} + \frac{1}{859} + \frac{1}{860} + \frac{1}{861} + \frac{1}{862} + \frac{1}{863} + \frac{1}{864} + \frac{1}{865} + \frac{1}{866} + \frac{1}{867} + \frac{1}{868} + \frac{1}{869} + \frac{1}{870} + \frac{1}{871} + \frac{1}{872} + \frac{1}{873} + \frac{1}{874} + \frac{1}{875} + \frac{1}{876} + \frac{1}{877} + \frac{1}{878} + \frac{1}{879} + \frac{1}{880} + \frac{1}{881} + \frac{1}{882} + \frac{1}{883} + \frac{1}{884} + \frac{1}{885} + \frac{1}{886} + \frac{1}{887} + \frac{1}{888} + \frac{1}{889} + \frac{1}{890} + \frac{1}{891} + \frac{1}{892} + \frac{1}{893} + \frac{1}{894} + \frac{1}{895} + \frac{1}{896} + \frac{1}{897} + \frac{1}{898} + \frac{1}{899} + \frac{1}{900} + \frac{1}{901} + \frac{1}{902} + \frac{1}{903} + \frac{1}{904} + \frac{1}{905} + \frac{1}{906} + \frac{1}{907} + \frac{1}{908} + \frac{1}{909} + \frac{1}{910} + \frac{1}{911} + \frac{1}{912} + \frac{1}{913} + \frac{1}{914} + \frac{1}{915} + \frac{1}{916} + \frac{1}{917} + \frac{1}{918} + \frac{1}{919} + \frac{1}{920} + \frac{1}{921} + \frac{1}{922} + \frac{1}{923} + \frac{1}{924} + \frac{1}{925} + \frac{1}{926} + \frac{1}{927} + \frac{1}{928} + \frac{1}{929} + \frac{1}{930} + \frac{1}{931} + \frac{1}{932} + \frac{1}{933} + \frac{1}{934} + \frac{1}{935} + \frac{1}{936} + \frac{1}{937} + \frac{1}{938} + \frac{1}{939} + \frac{1}{940} + \frac{1}{941} + \frac{1}{942} + \frac{1}{943} + \frac{1}{944} + \frac{1}{945} + \frac{1}{946} + \frac{1}{947} + \frac{1}{948} + \frac{1}{949} + \frac{1}{950} + \frac{1}{951} + \frac{1}{952} + \frac{1}{953} + \frac{1}{954} + \frac{1}{955} + \frac{1}{956} + \frac{1}{957} + \frac{1}{958} + \frac{1}{959} + \frac{1}{960} + \frac{1}{961} + \frac{1}{962} + \frac{1}{963} + \frac{1}{964} + \frac{1}{965} + \frac{1}{966} + \frac{1}{967} + \frac{1}{968} + \frac{1}{969} + \frac{1}{970} + \frac{1}{971} + \frac{1}{972} + \frac{1}{973} + \frac{1}{974} + \frac{1}{975} + \frac{1}{976} + \frac{1}{977} + \frac{1}{978} + \frac{1}{979} + \frac{1}{980} + \frac{1}{981} + \frac{1}{982} + \frac{1}{983} + \frac{1}{984} + \frac{1}{985} + \frac{1}{986} + \frac{1}{987} + \frac{1}{988} + \frac{1}{989} + \frac{1}{990} + \frac{1}{991} + \frac{1}{992} + \frac{1}{993} + \frac{1}{994} + \frac{1}{995} + \frac{1}{996} + \frac{1}{997} + \frac{1}{998} + \frac{1}{999} + \frac{1}{1000} + \frac{1}{1001} + \frac{1}{1002} + \frac{1}{1003} + \frac{1}{1004} + \frac{1}{1005} + \frac{1}{1006} + \frac{1}{1007} + \frac{1}{1008} + \frac{1}{1009} + \frac{1}{1010} + \frac{1}{1011} + \frac{1}{1012} + \frac{1}{1013} + \frac{1}{1014} + \frac{1}{1015} + \frac{1}{1016} + \frac{1}{1017} + \frac{1}{1018} + \frac{1}{1019} + \frac{1}{1020} + \frac{1}{1021} + \frac{1}{1022} + \frac{1}{1023} + \frac{1}{10

trionee
Tristan.
that of Ireland, where it had 52; besides a great number of monasteries in Saxony, Hungary, Bohemia, and other countries. The convent of Ceryro in France was head of the order. It is impossible for us to say what is now the state of the order, which can have no visible existence in France, and is probably suppressed even in Italy.