beginneth the second booke shewing by longitude and by latitude the dystance vnto any Towne or Citie or place vpon the face of the earth keping one poynt or winde ouer the Sea and LANDE although that it be not the very nearest way for the very nearest way ouer the Sea and Land can not be by one poynt of the Compasse except it be vpon the Meridian lyne that is due South or due North from you or being vnder the Equinoctial to be due East or West But if it be in any other place from vnder the Equinoctiall although it be due East or West both the places to be vnder one Paralell yet in the going due East and West is not the nearest way ouer the Sea and Land but the next way ouer the Sea and Lande is by diuers wyndes or poyntes of the compasse and the further frō the Equinoctial to eyther of the two poles the greater chaunging of the poyntes of the compasse For the next way ouer the Sea and the Land vnto any place is to goe by the great circle which is equall vnto the Equinoctiall or the Meridian circle which will not be according vnto any one poynt of the compasse but vnto dyuers as for proofe thereof you shall haue this for an ensample thus that in the latitude of .60 degrees that there were two Townes or places in that paralell the one being opposite or right against the other that is .180 degrees and a degree in that paralel doth containe .30 myles And nowe to goe iust East or West in that paralel to come vnto the place assigned it is .5400 myles as for proofe therof multiply .180 tymes .30 but that is not the next way vnto the place assygned but the next way is to goe by the Merydian lyne that is to say to goe due North vntill you do come ryght vnder the pole and then to goe by that Merydian due South tyll you haue that latitude agayne and then it is but .3600 myles as you may knowe by playne multiplycation as it is from the latitude of .90 degrees vnto the pole to go due North .30 degrees and from the pole Southward agayne other .30 degrees that is in all .60 degrees and then to multyply .60 tymes .60 it sheweth the true dystance which is but .3600 myles And to goe by the paralell lyne that is due East or West then it is .5400 myles that is halfe so much more as by playne proofe you may know But if the two places be both vnderneth one paralel be shorter thē 180. degrees asūder thē it requireth to go by diuers points of the compasse and not by the Meridian according vnto the passing of the great circle which doth conteine in circumference 21600. myles which is the greatest compasse of the earth and not according vnto moe paralels then one which is the Equinoctial nether vnto no one poynt of the compasse for any poynt of the Compasse will bring you vnto the poles of the worlde or verye neare excepte those that be pararel which is East or West as all ryght lynes drawe being extended exceptynge lynes paralell will Crosse the other in the ende so all the poyntes of the Compasse doe winde vntyl they doe come vnto the poles or very neare the poles of the world as they be all Hilicall or Spherall lynes Wherefore there is no one poynt or wynde that can be prescribed to be the next way by that poynt vnto any place assygned but onely the Meridyan lyne or lynes and to goe East and West then to be vnder the Equinoctiall for the nexte way els is by sundry poyntes of the compasse c. Wherefore I omitte to say any more thereof but onely to shew vnto you how for to know the dystance vnto any Towne or place situated vpon the lace of the whole earth by any one assygned poynte of the compasse then for to knowe the true distaunce ouer the Sea and the lande And I doo shewe it thys waye for two causes the first is this for that it is not possible to passe the next way by the meanes of the frozen Zone Wherfore it is supposed that it is not nauigable in those Seas neyther passageable by lande in those Countreys and the seconde cause is this as before is declared in the goyng the next waye it dooth require to goe by sundry poyntes of the compasse which woulde be but a confused matter for the most part of those persons that doo desire to knowe the distaunce vnto any place assigned neyther shall he knowe so readily which way it standeth or beareth from him And furthermore in the knowing the distaunce vnto any place assigned and by what poynt of the compasse it beareth this is to be considered that the Longitude dooth begin at the Meridian of the Cannary Iland and so to follow vnto the Eastwardes and so ending at .360 againe at the Cannary Ilandes as I doo shewe in my booke called the Regiment for the Sea The second Chapter sheweth vnto you howe you may knowe the distaunce vnto any Towne situate vppon the face of the whole earth so that you do◠knowe the true Longitude and the true Latitude of them NOw furthermore if that you doo know the Longitude and the Latitude of any towne or townes situate vppon the earth you may know the distaunce vnto them as before is declared as thus If that the towne be iust East or West from you that is to say that your towne or place is vnder the Paralel that the other towne is that is to say that the Pole artike of that towne or place is so manye degrees aboue the Horizon as your towne is both in degrees and minutes then shall you seeke how many degrees of Longitude the other towne dooth differ frō yours then you shall seeke how many myles that one degree shal answere vnto it in that paralel and then you shall multiplie the one by the other that is to say the degrees by the myles and that summe which commeth of that multiplication shal be the distance betweene the two townes as for ensample thus by the Citie of London Answerpe in Brabant which differeth but .4 minutes in Latitude for at London the Pole is raised .51 degrees .32 minutes and at the Citie of Antwerpe the Pole is raised .51 degrees .28 minutes therefore we be both vnder one paralel Now the Longitude of London is from the Cannarie Ilandes .19 degrees and .54 minutes and Antwerpes Longitude is .26 degrees .36 minutes so that Antwerpe standeth East from London .6 degrees .42 minutes Now must I know how many miles a degree conteineth in that paralel and of that I doo make mention in my booke called The Regiment for the Sea in the .16 Chapter and that I doo finde to be .37 myles to one degree Thē I multiplie .6 times .37 because that it is .6 degrees .37 myles to one degree and of
liue by gaming and playe and he must haue a familiar in a Ryng or such other like place But what manner of Christian doo you thinke him to be that desyreth to be familiar with the diuell So that a great number of people that are in the world desire to lyue idlely and pleasantly caring not so that they haue their pleasure here although their soule goe vnto hel and there to be tormented in fire Brimstone euer world without end Wherefore God turne the hartes of those that are the cause of wickednes and especially here in our natiue countrey Realme of England for that we haue a most gratious and vertuous Queene raigning ouer vs and such a one as doth alwaies study for the setting foorth of the word of God and sacred Gospel of Iesus Christ and dooth alwayes studie for peace traÌ„quility And considering the great wickednes that is vsed in England the wrath of God would haue lighted vpon vs long before this time but only for the grace vertuousnesse of the Queenes miaesty that God hath spared vs for her sake Therefore let vs al pray vnto God for her long life and prosperity that she may raigne long ouer vs. For surely my opinion is this except we doo repent and turne froÌ„ our wickednesse the wrath of God wil light vpon vs. For in these daies euery man is but for him self the elder sort of people are geueÌ„ generally al vnto excessiue huge couetousnes and the yonger sort of people are geuen generally vnto pride and whooredome and other vaine toyes as idlenesse and gamyng so that in respect fewe or none haue the feare of God before their eyes And if any persons doo frame them selues to liue vertuously according vnto the lawe of God then they shal be but derided both of the elder sort also of the younger for the couetous rich persons wyl say he is a foole he can not make shift to liue he hath too precise a conscience and the youngest vayne glorious proude fooles will say He is a scriptured man he wil not haue vs to be meery nor go clenly So that in these dayes extortioÌ„ couetousnes is called good husbandrie and the one of them wil commende the other saying He is a wise felowe he wil liue how frauduleÌ„tly soeuer he come by his goods So what wickednesse soeuer that it be the same shal be commended by them that vse the like as pride in these daies is called clenlinesse and swearing lustines saying he is a lustie fellowe and dronkennesse good fellowship and whooredome a tricke of youth or freindship so that the one sort of people doo heape vp the goods on the earth vnsaciably and the other sort of people spende it away most vainely and wantonly so that the good giftes or benefytes of God which are the riches of the world are abused on euery side not vsed as they ought to be that is to say to do good vpon the earth with that for it was created for the vse of man to a good ende to take his portion of it the rest to vse vnto some good purposes at his discretion for that God doth sende it hym vnto that ende and not to be heaped vp neyther to throwe it away wickedly as a number doo Therefore men do not rightly consider wherefore they were borne vppon the face of the earth Fyrst he is borne to serue God for that he hath created him and al mankinde and hath created him a reasonable creature and hath created al thing for his vse as fyrst the earth with al his mynerals as we doo digge out of the earth Gold Syluer and al other mettals and stones to make vs necessaryes to serue mans vse And also the face of the earth he hath created to bring foorth Trees to make vs Timber and Grasse to feede Cattel to make vs foode and meate Corne to make vs breade with al his other benefytes which man receyueth from the face of the earth The Sea with al other Ryuers bringeth foorth Fish of innumerable sortes to make vs foode and meate yea the very Sea is for mans vse too passe from Countrey vnto Countrey The ayre in lyke manner wherein are multitudes of feathered foules for mans vse yea the very Heauens are for mans vse as the Sunne Moone and Starres are created for the vse of man And also he hath redeemed vs from the Originall synne of Adam by his precious bloodde sheeddyng Wherefore wee are fyrste borne too serue God And secondly wee are borne to serue our Prince and naâ—yue Countrey that is to saye to defende our Territoryes that no other ferreine Nations doo spoyle vs of our labours or our Prince of her dignitie And thyrdly we are borne to prouide for our houshold and our familie and to see that they be trayned vp to lyue in the feare of God and to knowe theyr duetie to their magistrates and to trayne them vp vnto some facultie whereby they may get them a lyuing c. Wherfore I would wish al those persons that it hath pleased God to blesse vppon the face of the earth with anye worldly reuenewes or substance and liuing to practise some thing whereby they may doo some good vppon the face of the earth And in like manner to trayne vp theyr chyldren in the nurture and feare of God c. Especially the noble men and gentlemen and they themselues not to desyre to liue pleasantly and idely but to practise some vertuous thing as martiall affayres or such other lyke causes as their capacitie wyll serue them For there were two causes in the beginning of all degrees of the temporaltie or layetie wherof al Noble men and Gentlemen had their originall and beginnyng and they are worthy to be had in honour vnto the worlds ende for their parentage and the much the rather if that they doo folow the rule of their noble and worthy progenitors The fyrst cause was for their noble actes and deedes in the defending of their Country against their enemies c. So by that meanes for their valiantnesse against their enemies they were extolled and aduanced vnto high dignitie euerye person according vnto his desertes and had lyuings to maintayne their state and they to defend their Territories whilest the common people dyd manure and tyll the ground And the second cause in degrees of nobilytie and gentlemen was to them that made good and wholsome lawes for the good gouernement of their common weales Therefore I would wish al noble meÌ„ and gentlemen to folow the noble race of their progenitours and then they are the highlyer to bee esteemed But otherwise what a shame and discredit if that they do rightly consider of it is it for them to be euil members in the coÌ„mon weale considering howe worthyly their ancientrie dyd attaine come vnto their callyng Therfore I would wish euery gentleman to practise something that
he may do good either to defend the common weale or els to profyt it some otherway and not to be idle and to seeke to liue easily whereby the common weale may be the better mayntayned the Prince the better serued and our Countrye the better furnished with such persons as are able to defende the Prince Crowne and dignytie as well in their good counsel and also in their acts and deeds And also in my opinion they are very necessary members in the common weale in diuers respectes that are Trauaylers into other Countries and they are able to profyt theyr owne Countrie in diuers respectes for that hee is able to geue iudgement by his owne Countrie of other whether it bee as touching the gouernement of the common weale in the executing of their lawes of the manner of traffick and in the vsage and nature of the people bothe in their Cities and Townes and in their Countrie and what manner of commodities they haue and of the situation of their Townes and in their fortifycation and also of what strength and force other Princes and states are of and of the order and manner of vsyng them selues in martial affayres in the warres and what their Artillerie is and how they are weaponed and armed and furnished in euery respect which is very necessarie to bee knowne vnto the nobilitie for that they may prouide them selues and their Countrie for their better safetie and also they shall knowe what thing shall annoy their enemies most Then it is a playne case that Trauailers into other Countreies doo much profyte the common weale For suppose this that if we or any Country dyd liue in that order that we did trauaile into no place or Countrie neither no nation vnto vs then in processe of time wee should beecome barbarous and sauage Therfore the Trauaylers are much to bee commended in diuers respectes Wherefore I wyll shewe you my opinion what manner of people are meetest to bee trauaylers For a number of people haue trauayled and when they haue come home they haue had no iudgement of their trauayle but haue beene vtterly ignoraunt of suche thinges as were most meetest of a Trauailer to be noted and partlye some of them were not capable in those causes and some of them many times their heades are occupied with other vaine and foolish causes c. as this fyrst those people that are able to benefyt their country by their trauaile when they are come home ought not to bee to young for commonlye a young man his head is occupyed with euery vaine and light cause as with banketting and play and game daunsing and dalying with women and gazing vpon vaine toyes c. So that his head is occupyed with no other thing but all pleasaunt matters Therefore he that is sent to be a Trauailer to the ende to profyt his Country ought to be a man that hath a stayed a modest head and such a one as is capable and hath a good witte with him and learned And if hee bee seene in the Mathematical Science it is all the better For then hee shall the sooner conceaue any matter And also he ought not to be either to young nor to olde but betweene the age of .40 and 56. or 57. yeares c. And these bee the principallest poyntes that a trauailer should consider of First to consider what maner of Nation he is entred into whether they bee politicke or wise or Ciuill people or whether they be a rude or barbarous nation and so in his trauailing to frame his vsage accordingly as neare as he can that the people may like well of him â–ª for in so doing he should vnderstande the better of the state and commoditie of the Country Citie Towne or place and when that you do come into any Citie or Towne view of what maner of grounde it standeth vpon and what it may be or is subiect vnto and in like maner how it is fortifyed and prouided and how it is maintayned and whether it standeth vpon any hauen or riuer that hath vent vnto the Sea or any water that hath no vent or passage vnto the Sea but thorow or by some other Citie or Towne before it commeth vnto the Sea And also vnder whom it is and howe it is gouerned and what theyr Lawes and Ordinaunces bee And what notable Monuments of buildyngs there be and any other rare and notable thing that is not common And also to learne what nation Country Citie or Towne that may most annoy them and also what Countrye Citie or Towne dooth most pleasure them and what trade or Marchaundize they are principallest maintayned by and what commodities are most plentiest and what commodities or things necessariest are most scantest and what the nature of the soyle or ground is thereabouts that is to say what the ground is most aptest to bring foorth or most vnapt as touching Corne Trees and such other lyke whatsoeuer it bee And alâ—o what maner of Money and coyne is vsed both in Siluer and Golde and other base Money in Copper if they haue any And also what the people hath most pleasure in and what they do most abhorre or hate and whether the Countrye bee a playne and champion Countrie or Hils and Mountaynes or lowe marsh or marishe grounde and whether it be full of Riuers or not and also how the Princes or the other Gouernours doo leuey their Souldiours in the time of their warres how they doo arme them and weapon them and furnish them in euery respect and what duties or customes or tolles or suche lyke charges are payd whether it be of them selues or vpon strangers or any other kinde of goodes or marchandize and what thing it is they make most store of that they wyll not haue passe out of their Countries with all such other lykenes that for breuitie I doo omit And now such persons as haue noted these causes at their returne home are able to profyt much the common weale in diuers respects and are persons of great valure vnto theyr Countrye for that they are able to profyt the state and the common weale of their Countrye in diuers respectes For all those persons are of great valure and price and are as special Iewels vnto their Country and in the common weale that are politick cunning and valyaunt in marâ—hall affayres for thereby their Countrye is defended and preserued from the forrayne enemies For looke what Country is riche and welthye then other Princes are desyrous therof for to haue the spoyles and the benifyts of it wherfore by polycie and manlynesse they must be defended Therefore men expert in marshall affayres are very necessary in a common wealth And furthermore all those persons that are wise and sober and discreet in the good gouernemeÌ„t of the common weale such as doo maintayne vertue and suppresse vice are persons of great valure to their Countrie and also those persons are able by their wisdome
and knowledge to benefyt or profyte their Countrie whether it be in the teaching of good artes and Sciences or by any other meanes so that the common weale be the better mayntayned are persons of great valure and are as Iewels vnto their country and their country is beholding vnto them But contrariwise all those persons that are not able to profyt the common weale in any respect and also desyre to liue pleasauntly and wantonly and haue great liuynges and riches and doo no good therewith all those persons are more beholding vnto their Countrie then their Countrye is vnto them But if they haue great store of ryches and doo couet to heape more caryng not how they doo come by it so they may haue it such persons are the destruction and are as Caterpillers to the common weale of their Countrye for that they doo annoy and hurt the prosperity and the state of their Country for that they catch and heape vp into their custodie more then dooth suffice themselues by great quantities whereas thowsandes doo lacke to serue their turnes that are better members in the Common weale then they are And all such persons the Common weale hath a good turne when they are deliuered of such a one For by that meanes is dispearsed that heape of store vnto a number of persons handes besydes that whiche he would haue heaped vp more if that hee had continued longer So that some of the richest sort of people are not the best members in the common weale but the worste and yet it behoueth some persons to bee rich and by their riches the common weale is the better maintained as thus The Prince of any Countrye being godlye and vertuous the Common Weale dooth the better flourishe and is continually kept the safer from the forrayne enemyes and the Noble men and Gentlemen that are vertuous and giuen to practise the good gouernment the preseruement of them selues and the state of their Country So then their riches doo good and also if the Marchaunte bee rich so that he doo not hurt his owne Country but winneth his ryches out of other forraine Countries or any other good and vertuous Subiect by his riches he may doo good if hee doo vse that hee hath to the furtheraunce of the common weale So that it is necessarye that there should bee rich persons in the common weale for a number of causes so that those rich persons be vertuously bent but otherwise they may do hurt And thus gentle Reader I doo make an ende desyring you that you wyll take this simple Booke in good part and if there be any faults committed by me either by ignoraunce or negligence I pray you let mee gentlye vnderstand thereof for man cannot bee so precise but that hee may erre And thus I betake you vnto almightie God the Creator of all thinges By yours William Bourne ¶ A briefe note taken out of M. Dees Mathematical Preface that goeth before Euclides Elementes nowe extant in our Inglish tongue as touching what the Mathematical Sciences are that is to say all those Artes that order number measure or wayght and tyme without the which in respect we can doo nothing For what can bee doone in any respect but we must vse number which is Arithmeticke or what can be doone but we must vse measure or wayght which is Geometrie or what can there be doone but that we must vse tyme which dooth appertayne vnto Astronomie for by number we knowe howe many or fewe there are and by measure we knowe whether it be ynches feete yardes scores myles leagues poundes ounces galloes quartes or tunnes and by tyme we knowe whether it be minutes howres dayes weekes monethes yeeres c. Whereof two are pryncipal Arithmeticke and Geometrie wherof al these compounded scientes are sprong of these two Simples ☞ Thinges done by hand Geometricall 1 Mecometrie Is the measuring of the length anything whatsoeuer 2 Embadometrie Is the measuring the contentes of all flat things as Land Boorde Glasse 3 Stereometrie Is the measuring of all solid bodies as Timber Stone Kaske such lyke ☞ Thinges measured that haue distaunce from you 4 Apomecometrie Is how farre any thing is frō you whether it be on lande or on water 5 Hipsomettie Is how high or deepe any thing seene is from the leuell whether it bee on Lande or water c. 6 Platometrie How broade any thing is c. 7 Geodesie Is the suruaying or measuring of landes woods or water hauing distaunce from you by instrument or otherwise 8 Geographie Is the description of Countries or Kingdomes 9 Cherographie or Typographie Is the description of a part of a Country or kingdome c. 10 Hydrographie Is the discription of the Seas with the Ilandes and rockes and dangers and lynes and Courses c. 11 Stratarithmetrie Is the view or measuring of a battel of men to know the number of them not comming neare them c. 12 Perspectiue Demonstrateth the manner and propertie of all radiations directe broken and reflected 13 Astronomie Is the mouing of the lightes and Planets c. 14 Musike Teacheth the diuersyty of sounds c. 15 Cosmographie Is the descriptiō of the whole earth and the Paralell of the heauens answering thereunto c. 16 Astrologie Is to geue iudgment by y e signes lights and planets c. 17 Statick Is an art that doth order and deale with heuines and lightnesse c. 18 Anthropographie Is of thinges appertaynyng to the body of man to shew them c. 19 Trochilike Doth appertaine vnto the turning of wheels this art is necessary for Clockmakers Crane makers and Mylles al other sciences that doo deale with wheeles 20 Helicosophie Is an art to drawe hylical or Spheral or winding lines and is very necessary for Skrewe makers diuers other things 21 Pneumatithmie This art is necessary for all them that doo make Pumpes or great Bellows for y t it teacheth al those thinges that goe by wynde and water c. 22 Menadrie Is an art that teacheth the making of al ingenes as things to pull to or thrust fro or lyfting vp or pressing downe c. 23 Hypogeiodie Is that arte that dooth appertayne vnto myners in the grounde c. 24 Hydrogogie Is that art to bring water vnto any place assigned c. 25 Horometrie or Horologiographie Is the making of Dyals of al sortes c. 26 Zographie Is the art of a cunning Painter c. 27 Althalmasat The art of Grauing 28 Archetectur Is a cunning Mason or Carpenter c. 29 Nauigation Is sayling on the Sea c. 30 Thauruaturaike Is that which dooth make strange workes as those that made the brasen head seeme to speake the brasen Serpēt to hisse the Doue of wood to flye the Eagle made by art to flye c. 31 Archemastrie This art teacheth to bryng to actual experience sensible al worthy conclusions by al the artes Mathematical c. FINIS To the Reader of
sheweth the natural cause of the ebbing and flowing of the sea and the ebbyng and flowing of hauens and riuers c. The seuenth chapter sheweth the cause of currantes and streames that runne in the sea in such places where it dooth not ebbe and flowe of currantes or streames in the sea there are three seueral sortes in the chapter it doth appeare c. The eight chapter sheweth the natural cause that the water in the Sea is salt c. The ninth chapter is as touching the cause of earthquakes The tenth chapter sheweth the reason howe America and all the Ilandes and newe founde landes and countries became peopled and of what posteriritie that they be come of c. FINIS Faultes escaped in printing The fyrst Booke fol. pa lyâ—e faultes Correction 3 1 20 set the situate 3 2 8 marking making 3 2 24 make marke 4 1 9 of that or that are 5 1 11 for lyne for the line 5 1 12 other side â—thelida 5 1 13 ridge ring 5 1 last the heigth 0 5 1 last measure of the that measure 7 1 12 and the and at the 8 2 13 standinges places 9 1 20 as is 10 2 8 lye by 12 1 11 there then 12 1 20 the line should the line y e shoulde 13 1 1 there though 14 2 3 thence there 14 2 23 12 into 12. 15 2 12 28 24 15 2 19 5 15 16 1 23 lacke looke 17 1 1 doo mays 17 2 4 staffe transuastorie 18 2 many transytorie transuastorie 18 2 many ringes wynges 19 1 many transytorie transuastorie 20 1 32 that their 22 2 16 part put 27 2 22 by too 28 1 7 52 32 29 2 10 and halfe of 29 2 22 the chapter the .8 Chapter The second Booke fo pa. line faultes Correction 1 1 22 vnto and vnto 3 1 8 90 60 7 1 13 Southwest South Southwest 9 1 10 32. put put 10 1 11 30. degr 49. 50. degrees .12 9 2 20 â—ondon land 11 1 2 54 16 12 1 13 36 360 13 1 30 Eison More â—â—on Nore 15 1 7 Cappe hyll Ape hyll 15 1 13 18 25 15 1 15 London London .10 mi. 15 1  the longest day the day .14 hours .35 mi.   15  15 1  minuts southeast minuts â—nd is Southeast   24 vnder the tropick of Cancer 16 1 25 0 19 1 11 East and South East by south 19 1 30 7 98 19 2 30 Maria in Aria 21 2 11 25 52 22 1 33 20 4 22 2 2 12 4 The thirde Booke fo pa line faultes Correction 3 1 28.29 that that that 3 2 12 of a boord of boord 5 1 2 be corner be from corner 5 1 3 22 32 7 1 4 leuel beuel 7 1 11 leuel beuel 14 2 9 with the within the 15 1 12 30 3. quarters 15 1 19 racking raking 15 1 32 whole holde 16 2 15 would haue haue 19 1 22 13. ynches 10. ynches The fourth Booke fol. pa. lin faultes Correction 3  24 as is 4 1 last targed karged 5 1 27 maâ— may 7 1 30 with which 7 1 53 multiply by multiply that by 8 2 23 in the mould of mettall in the mould of wood  2 31 8 2 5 led raysed or highed 11 1 1 neare as needes 12 2 18 30. 36. 12 2 32 waight the waight that the 12 1 23 one kind of one kynde 14 2 6 by the proportioÌ„ oâ— the by proportioÌ„ the 17 1 19 hang chaunge 18 1 22 hâ—eâ— heeâ—d 18 1 3 to hold to heeld 19 1 18 collect calke 19 1 â— in yenough 19 1 24 carying carenyng 19 2 30 cartienes Capâ—tynes The fyfth Booke fol. pa. lin faultes Correction 5 2 6 mould mouth 6 1 2 so assynges suffâ—ngâ—s 8 1 8 suites sortes 8 2 5 suâ—fâ—â—nges suffâ—nges 8 2 22 sea it sea as it 9 1 3 Ireland England 9 2 4 souâ—â—inges suffinges 9 2 19 rounded couered 11 1 15 in at 13 1 6 beaten leâ—ten 15 1 12 wast West 6 2 3 meayne mayne 11 1 30 traâ—t attract 11  26 hygher hygh or ¶ Imprinted at London for Thomas Woodcocke dwelling in Paules Churchyarde at the sygne of the blacke Beare 1578. The fyrst booke The seconde booke The thirde booke The fourth booke The fyfth booke Geometric perspectiue Cosmographia Geometric general Staticke Naturall Philosophie Discouragement Bookes are written to the intent to teach the vnlearned No person is to be disliked that doth his good wyll to doe good Persons that are to be dislyked Abuses of Englande Magical Inchauntment is a great dishonoring of God What maner of christian is he that desyreth to be familiar with the diuell The vertuousnesse of the Queenes maiestie is our preseruation The abuses of al degrees Couetousnes is called good husbandrie Pride is clenlinesse swearing lustinesse drunkennesse good fellowshyppe Whoredome friendship 〈◊〉 a tricke of youth The first cause that man is borne for is to serue God The seconde cause that man is borne is to serue his countrey Thirdly man is borne to labour to lyue The causes of al degrees The fyrst cause The second cause Good members in a coÌ„mon weale What maner of persons are the meetest to be Trauailers What a Trauailer should consider of What persons are of valure in the common weale A Circle A Centre A Circumference A Diametre A Foote A Yarde A pase Geometrical A simple stop of yarde A rase is two steppâ—s 12. pases is a score that is 20. yardes A myle is a 1000. pases that is .5000 foote or 1666. yardes and 3. A Rod is .16 foote .2 of land measure and 18. foote is a Rod of woode measure .6 foote is a fadome and .833 fadome is a myle The maâ—â—ng of the Quadrant with the Skal The vse of the degrees What to obserue in taking of height with the Skall Vpright shadow at on station Ensample Ensamples of two fashions or standinges Ensample oâ— contrary shadow Ensâ—mple in the taking of the poynt of a height How to know distance by the shadowe An ensample To know how much the one Towre is higher or lower than another Ensamples To know how much any Tower is lower then that you be on Ensamplâ— â–ª To knowe the height of a hill To know the length of the Hipothenusall Lyne by the extracting of the roote To knowe the widenesse of waters An ensample To knowe the length of the slope lyne by the extract of the Roote To know howe much any place is higher or lower then the placeth it you are on whether that it be on Towre Steeple â—l Clyffe of valley c. An ensample To know howe much any place is hygher or lower by degrees An ensample of shyps on the water An ensample An ensample of shyps on the water To know whether my shyp be higher or lower of boord then another and whether the one dooth ouertop the other and howe To know howe much one house ship towre or hyl is higher then the other The