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end_n lie_v north_n south_n 4,786 5 10.0664 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A01089 The art of dialling by a new, easie, and most speedy way. Shewing, how to describe the houre-lines upon all sorts of plaines, howsoever, or in what latitude soever scituated: as also, to find the suns azimuth, whereby the sight of any plaine is examined. Performed by a quadrant, fitted with lines necessary to the purpose. Invented and published by Samuel Foster, professor of astronomie in Gresham Colledge. Foster, Samuel, d. 1652. 1638 (1638) STC 11201; ESTC S102472 16,930 55

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cut the line TV at a upon the Quadrant take T a in your Compasses and pricke it downe here from V to 12 and from R to 6. Here by the way observe that because this plaine is an Eeast-incliner the face of it looketh toward the West and then if you imagine the true scituation of this Diall upon the plaine whereon it must stand you will easily conceive that the line of 12 is to stand on the right hand from the line AV. and so the line of 6 on the left hand whereas if this plaine had faced toward the East the line of 12 must have stood on the left hand and 6 on the right hand Your owne conceit together with the precepts of the chapter following must helpe in this and in other things concerning the right scituating of the lineaments of your Diall To proceed then In the same manner must you apply the Bead to every houre line as in the next place I remove it to the line y m in the Quadrant and then I see it to cut the line TV in b I take 1 b in my Compasses and with it doe pricke downe from V to 1 and from R to 7. Againe the Bead being applyed to the lines nr sb the threed will cut the line TV upon the Quadrant in c and d I take the points TC Td in my Compasses and pricke them downe from V to 2 and 3 and from R to 8 and 9. Then againe the Bead applyed to the lines ei Va the threed will cut the line TV in the points e and o I take then Te and Tf and pricke them downe from U ●o 11 and 10 and from R to 5 and 4. 5. Lastly lay your rule to A and draw A10 A11 A12 A1 A2 A3 A4 A5 A6 A7 A8 A9 Thus have you twelve houres and if you extend these beyond the Center you shall have the whole 24 houres of which number you may take those that shall bee fit for the Plaine in this scituation The halfe houres may thus bee pricked on and drawne also by applying the Bead to the halfe houres pricked downe in Vcb T the upper limbe of the Quadrant for so the threed will give you the halfe houre points upon the line TV which may be taken off and set downe upon the Diall as the houres themselves were CHAP. XII How to place the Diall in a right Scituation upon the Plaine AFter the houre-lines are drawne by the last Chapter they are to be placed in a right scituation upon their Plaine Which to doe upon some Plaines is more difficult than the Description of the Diall it selfe To give some directions herein I have added this Chapter where you have 9 Questions with their Answers giving light sufficient to what is here intended and required but first be admonished of three things 1. That the inclination mentioned Chap. 8. is the very same in Use with the Prosthaphaereticall arke mentioned Chapter 9. And therefore when I mention the Prosthaphaereticall arke because it is of most frequent use you must remember I meane both the Prosthaph arke Chap. 9 and the Inclination Chap. 8. 2. That these rules though given primarily for places of North-latitude lying within the Temperate Torrid and Frigid Zones yet are also as true and may bee applyed to all places of South-latitude if we exchange the names of North and South for South and North. Here by the way note that the North part of the Torrid Zone extendeth from 0 degrees of latitude to 23 gr 30 min. the Temperate Zone reacheth from 23 gr 30 min. to 66 gr 30 min. the Frigid Zone extendeth from 66 gr 30 min. to 90 gr of latitude And so I come to the 9 Questions 1. What Pole is elevated above the Plaine Upon all Upright plaines declining from the North Upon the upper faces of all East or West incliners Upon the upper faces of all North-incliners whose Prosthaph arke is lesse than the latitude of the place On the under faces of all North-incliners whose Prosthaph arke is greater then the Latitude of the place and on the upper faces of all South-incliners The North pole is elevated And therefore contrarily Upon all upright Plaines declining from the South On the under faces of all East and West and South incliners On the under faces of all North-incliners whose Prosthaphaereticall arke is lesse than the Latitude of the place On the upper faces of all North-incliners whose Prosthaph arke is greater than the Latitude of the place The South pole is elevated 2. What part of the Meridian ascendeth or descendeth from the Horizontall line of the Plaine In all Upright plaines the Meridian lyeth in the Verticall line and if they decline from the South it descendeth if from the North it ascendeth Upon both faces of East and West Incliners the Meridian lyeth in the Horizontall line In all North-incliners the North part of the Meridian ascendeth the South part descendeth in all South incliners the South part of the Meridian ascendeth the North part descendeth upon both upper and under faces And if these North and South incliners be direct then the Meridian lyeth in the Verticall line and so maketh a right angle with the Horizontall line but if they decline then the Meridian on the one side maketh an acute angle with the horizontall line 3. To which part of the Meridian is the style with the substyle to be referred as making with it an acute angle The style is the cocke of the Diall the substyle is the line whereon it standeth signed out in the former descriptions by the letters AV. In all Plaines whereon the North pole is elevated it is referred to the North part of the Meridian and maketh an acute angle therewith In all Plaines whereon the South pole is elevated it is referred to the South part of the Meridian and is to make an acute Angle therewith Except here only those South-incliners whose Prosthaph arke is more than the complement of your Latitude for on these plaines the substyle standeth on that part of the Meridian whose denomination is contrary to the Pole elevated above the Plaine For on the upper faces the North pole is elevated but the substyle standeth toward the South end of the Meridian and on the under 〈◊〉 the South pole is elevated but the substyle lyeth toward the North end of the Meridian Note here that in South-incliners whose Prosthaphaereticall arke is equall to the complement of your Latitude the substyle lyeth square to the Meridian upon the line of 6 a clocke which line in such plaines alwayes lyeth perpendicular to the Meridian line Amongst these falleth the Equinoctiall plaine 4. On which side of the Meridian lyeth the substyle In all direct plaines it lyeth in the Meridian In all Decliners it goeth from the Meridian toward that coast which is contrary to the coast of the plaines declination And so doe all houres also goe upon the Plaine to that coast which is contrary to