Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	east_n	point_n	west_n	1,970	5	9.4719	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A29762	Horologiographia, or, The art of dyalling being the second book of the use of the trianguler-quadrant : shewing the natural, artificial, and instrumental way, of making of sun-dials, on any flat superficies, with plain and easie directions, to discover their nature and affections, by the horizontal projection : with the way of drawing the usual ornaments on any plain : also, a familiar easie way to draw those lines on the ceiling of a room, by the trianguler quadrant : also, the use of the same instrument in navigation, both for observation, and operation : performing the use of several sea-instruments still in use / by John Brown, philomath.	Brown, John, philomath.	1671 (1671)	Wing B5042; ESTC R17803	103,467	309

as 12 6 is NR 60-40 both hours and quarters if you have them truly drawn on a large general Scheam as Mr. Lankford hath done Thus much for Direct Plains both Erect and Reclining before I come to speak of Decliners It will not be amiss to shew how to find the declination of a Plain both by the Sun-shine or without by a Magnetical-Needle as followeth As sine of the Substile 41-40 GF to = sine of the Latitude 51-32 NP So is = sine of 90 PFG to sine of GPF 58-7 the Incliner CHAP. III. To find the Declination of any PLAIN FOr finding the Declination of a Plain the most easie way is by a Magnetical-Needle fitted according to Mr. Failes way in the Index of a Declinatory as he calls it being 180 degrees of a Semi-circle divided on an Oblong-Board or Quadrant or a longer Needle in a square Box or fitted with Hinges and a Cover after all which wayes you may have them made at the sign of the Sun-dial in the Minories by Iohn Brown or of any other manner you shall think fit But to our Trianguler Quadrant is a Box and Needle also to be fitted of another form in some things more convenient Whose form is thus First in a piece of Box 5 inches long 2 ½ broad and 6 tenths of one inch thick is a hole made near 4 inches long 1 inch ¾ broad and 4 tenths deep for a Needle to play in about 50 degrees at each end with brass-hinges and a cover and a brace to keep the lid upright an Axis of Th●ed and a Plummet playing in the lid and a Horizontal and a South-dial drawn on the Box and Cover also a hasp and glass to keep the Needle close covered and on the bottom a Grove one tenth of an inch dee● made just as broad as one leg of the Sector is The use whereof is thus Put your Box and Needle on that leg of the Sector as will be most convenient for your purpose the North or cross-end of the Needle toward the Wall when it is a South decliner and the contrary when it is applyed to a North decliner as the playing of the Needle will tell you better than many words then open or close the Rule till the Needle play right over the Line in the bottom of the Box unless there be variation then you must allow for it Eastwards or Westwards what it is Then I say the quantity of the Angle in degrees and minuts the Sector stands at above or under 90 is the degrees and minuts of Declination being counted from 00 in the little Semi-circle as complements to the Angle of opening as in the 4th Use of the 5th Chapter is largely and plainly shewed Thus you have the quantity of degrees and minuts of Declination but to determine which way consider thus If the Needle will stand still in the middle when the north-North-end is toward the Wall then the first denomination is South if not North. Again When you know where North and South is you may resolve which way the East and West is For observe alwayes if the North be before you then the East is on the right-hand and the West on the left and contrarily If the South be before you the West is on the right-hand and the East on the left Then If the Sun being in the east-East-point of the Horizon can look on the Plain it is a South-east Plain but if it beholds it when in the west-West-point it is a south-South-west Plain Likewise If the cross-Cross-end of the Needle will not stand toward the Wall the Needle playing well and the Sun being due East beholds the Plain then it is so many degrees North-east but if it cannot look on the Plain being due East then it is a North-west Plain declining so many deg as the Sector stands at under or above 90 being alwayes the complement of the Angle the legs of the Sector stand at and found by taking the Angle the legs stand at from 90 when the Angle is less than 90. Or Taking 90 out of the Angle when it stands at an Angle above 90 degrees as a look at the little Semi-circle on the Head sheweth Example Suppose I come to a Wall and putting the Box and Needle on the Leg of the Sector and applying the other Leg to the Wall or on a streight piece of Wood applied to the Wall because of the Walls unevenness and open or close the Legs till the Needle playes right over the Meridian-line drawn on the bottom of the Box then I say the complement of the Angle the Legs of the Sector stands at being alwayes what it wants of or is above 90 degrees is the degrees of Declination and the Coast which way the Needle and Suns being East and West tells you For If the North or cross-Cross-end of the Needle be toward the Wall it is a South Plain and if the Sun being in the East can behold it then it is South-east if not a south-South-west Plain A ready way of counting the Angle found may be thus Take the = distance between Center and Center in the middle of the innermost-lines and lay it latterally from the Center and co●nt two degrees more than the Point sheweth after the manner of Chords from 90 at the sine of 45 toward the Compass-point and that shall be the degrees and minuts required Example Suppose the Legs are so opened that the = distance between the two Centers makes the sine of 25 then I say the Lines do stand at an Angle of 50 degrees and the Legs at 48 two degrees less the complement whereof is 42 as if you count thus from 45 you will find 40 from 45 is 10 35 is 20 30 is 30 25 is 40 and 2 degrees more makes 42 the thing desired But If you like not the abating of two degrees then the = distance taken just be●ween the two legs right against the Cen●ers shall be just the sine of 24 degrees ●r 42 counting after the manner of Chords viz. every 5 degrees on the Sines for 10 on ●he Chords backwards from 45 of the Sines which is 90 in Chords Or If you use the first Rule of the 4th Use●f ●f the 5th Chapter viz. by taking the ●ine of 30 and put one Point of the Com●asses in the middle Center in the Tangent-●●ne and apply the other to the Line of ●ines you shall find it reach to the sine com●lement of the Angle the Lines stand at ●iz 40 degrees and 2 degrees more viz. ●2 is the Angle or thing desired as pra●tice with consideration will make easie Thus by the Needle you may find the ●eclination of a Wall which in cloudy ●eather may stand you in good stead or 〈◊〉 prove a declination taken by the Sun to ●revent mistakes And if nothing draw the ●eedle from its right position but that it ●ay well and you find the Angle truly ●ou may come to less than half a degree And this convenience it hath