Haec distantiae inquirendae ratio for every se quidem semper infallibilis est, sed in iis directionibus quae maxime ad parallelum latitudinis inclinantur incertior est circini applicatio propter nimis obliquam directionalium linearum incidentiam in parallelos, ideoque in his alter hic modus erit exactior. Sumetur circino assumptorum locorum, et observando quot gradus ibidem circinus intercipiat, sic distentus ex uno loco as opposed to alterum toties revolvatur quoties intercapedo locorum suspicere potest, si quid residuum est distantiae quod advert integram circini extensionem non perveniat id contractior circinus excipiet, et in medios gradus differentiae latitudinis traducetur, notatisque ibi intercepis gradibus colligentur omnium revolutionum gradus cum residuo in unam summam, qua ut mox diximus multiplicata provenient iliaria distantiae quaesitae. Si secundus locus directionem et distantiam a primo notas habuerit, innotescent etiam differentiae latitudinis et longitudinis: Quaeratur directio eandem ab aequatore declinationem habens, quam locorum route a meridiano, et in eadem a centro directionum tot gradus aequatoris mensurentur quot locorum distantia exigit, tum meridianus eos gradus terminans in aequatore quoque gradus differentiae latitudinis a centro directionum computandos terminabit. Quando igitur secundus locus longitudinis et latitudinis differentiam a priore notam habet, nota fient directio et distantia. Sic dicimus locum aliquem nobis esse boreozephyrium, id est nordwestium, quando circulus maximus a nobis for every eum ductus forty five gradus in horizonte declinat a septentrionali cardine as opposed to occidentalem.



Post paucos vero annos, cum (ut habet Gulielmus Tripolitanus) gregibus imperatoris sui Vutcham graverentur caeteri Mongali, aut alioqui forte propter ereptum Tartarorum tributum vexarentur, faber quidam ferrarius Mongalus, nomine Chinchis communis injuriae pellendae et libertatis afferendae avidus Jecmongalos advertisement defectionem sollicitat, Tartaros revocat, et communicatis consiliis omnium consensu rex creatur anno Domini 1187, mox eas regiones quae citra Belgian montem erant invadens facile omnes adeptus est, quoniam ut erat prudens, recte victoria utebatur, in victos minime saeviebat, sed unicuique lubenter se submittendi et militiae operam suam communicanti vitam conjuges liberos et substantiam omnem salvam esse jubebat. Mansit autem Vutcham cum sua posteritate rex Tenduc, sed sub tributo et Tartarorum imperio. Vutcham and his descendants remained kings of Tenduc but paid out tribute to and were being underneath the dominion of the Tartars. Thus the dominion passed to the Mongols and it is referred to as the Empire of the Tartars, not only for that it was received due to the fact of and many thanks to them, but significantly due to the fact all the Mongols who lived jointly under popular legislation had been referred to as Tartars. At his loss of life a Nestorian priest and shepherd seized the dominion of the Naiman folks in the nation of Naiam (obviously misspelled for Naiman) and thereafter grew to become the absolute grasp of the entire Orient and he was called, as in truth he was, sites-like-livejasmin Priest and King John.



When he died his brother Vuth, who reigned in the Carocoran, seized the ability and termed himself Cham, that is Master. As he feared the multitude and the increasing energy of the Sumongols, that is to say the aquatic Mongols who were being effectively known as Tartars, from the title of the river Tartar of their homeland, though they had neither king nor condition and ended up but shepherds who compensated an yearly tribute, he sought after to disperse them into various nations around the world therefore breaking all electrical power of revolt but they, unwilling to give up their suitable of kinship and of mutual association, built a vow and fled to the northward the place they seized a really broad place, fortified by mother nature, in which they would be capable to protect themselves, even while they refused to pay back the tribute, and thus preserve their liberty. Hic dum metueret succrescentes multitudinem et vires Sumongularum, hoc est aquaticorum Mongulorum, qui proprie Tartari dicebantur a Tartar flumine patrio, quanquam nec regem nec civitatem haberent sed pastores tantum essent et tributum annuum penderent, voluit illos in varias regiones dispergere quo rebellandi potentiam frangeret, verum illi cognationis et mutuae societatis jura relinquere nolentes conspiratione facta fugerunt as opposed to aquilonem, amplam ibi et natura munitam regionem occupantes, in qua etiam negato tributo tueri se possent et libertatem vindicare.



Ludovicus Vartomannus lib : three Indiae cap : 27 refert a latere meridiano Javae majoris vs . austrum gentes esse quasdam quae syderibus nostro septentrioni obversis navigant, idque eousque donec diem four horarum inveniant, hoc est in sixty three gradum latitudinis atque haec ex ore naucleri sui Indi refert. Directionem vocamus lineam ab uno loco in alium sic ductam, ut cum quibusvis meridianis aequales angulos faciat, haec perpetuo indirect incurvatur in superficie sphaerae propter meridianorum advertisement se invicem inclinationem, atque inde in magnis distantiis, et potissimum circa borealiores partes distantia directionalis semper key est distantia plagali, in mediocribus vero, et maxime as opposed to aequatorem sitis, non est notablis differentia, quare cum plagales distantiae sumendae circa aequatorem non excedunt 20 gradus maximi circuli, aut in local climate Hispaniae et Galliae fifteen gradus: aut in partibus septentrionalibus Europae et Asiae 8 vel 10, convenienter directionalibus distantiis professional plagalibus sive rectis utemur, alioqui et harum inquirendarum ratio tradi potest, sed operosior nec admodum necessaria. As for Marco Polo, the Venetian, he saw opposite this continent some provinces and numerous islands and he pointed out the distances to Java Minor, which, in accordance to him, is evidently neither the isle of Borneo nor some island lying to the eastward of Java Major (as most do variously feel) for he suggests that it runs so considerably to the southward that neither the arctic pole nor its stars, i.e. the Little Bear, may be observed therefrom and, in chapt.16, he states that in 1 of its Kingdoms, termed Samara, neither of the two Bears can be witnessed thus, looking at the circumference of the island, which he states to be 2,000 miles, it is sure that its northern extremity goes past at the very least the 20th diploma of southern latitude.