Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	foot_n	half_a	inch_n	1,859	5	11.0254	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

mark them with the Names of the Rumbs to avoid confusion then is your Trygon made ready for use Then Take the distance from C in the Trigon to every crossing of the Azimuth-line and Almicanter and lay it on the Plain from the Vertical Point I on its proper Azimuth finishing one Almicanter before you meddle with another and the work with patience and diligence will be performed the line● are to be drawn from Point to Point with a steady hand or a bending thin Ruler being Conical Sections Note That when the Vertical-line of the Plain falls on an even Azimuth then half the number of Rumbs will serve being laid each way on both sides at once Or Having a Table of the Angles at the Zenith the same as you made to draw the Azimuth-lines draw a Line at any convenient distance Parallel to AC the further from AC the larger and better as DEF in the Figure and note where CD crosses the last Line EF as at D make DE a Parallel sine of 90 and lay off the sine complements of the Angles at the Zenith in the Table from E towards D and draw and mark the Lines as in the Figure Otherwise The Stile being fixed and the Dial set in its place where it must be or at least set to the same Reclination and Declination that it must be then if you apply the side of the Trianguler Quadrant to the Nodus and the corner at the end of the same edge that toucheth the middle of the Nodus to the Plain and at the same time the Thred and Plummet playing neatly on the Almicanter you would draw you may find as many Points and mark them as you please without all the former trouble and it may be every whit as true if the under-side be in●onvenient you may use the upper only be sure that the side you apply and the Thred and Plummet play at the Angle of the Almicanter required VII To draw the Circles of Position or Houses The Circles of Position or 12 Houses meet and cross one another in the crossing of the Meridian and Horizon therefore the Horizon is the begining of the 1st and 7th Houses beginning at the East and reckoning under the Earth by Imum Coeli to the Descendant or 7th House at the West-part of the Horizon and so to Medium Coeli the beginning of the 10th House to the Ascendant or Horoscope the beginning of the 1st House To draw these on the Horizontal-Dial where they are Parallel Lines to the Hour 12 do thus Take the distance from the Apex to the Equinoctial-line and make it a = Tangent of 45 then the = Tangent of 30 degrees laid both wayes on the Equinoctial shall give Points to draw Lines by = to 12 for the Houses required For East and West Dials take the Radius as before viz. from the Apex to the Equinoctial-line on the Plain which here is the Meridian and but the length of the Stile a Tangent of 45 then the = Tangents of 30 60 and laid from 6 on the Equinoctial-line gives Points to draw Lines Parallel to the Horizon for the Houses required For East and West Recliners the Perpendiculer height of the Stile made a Secant of 0 then the Secant of the Stiles Elevation shall be Radius to prick off the = Tangents of 30 60 on the Equinoctial-line from the foot of the Stile whereby to draw Lines Parallel to the Horizon for the Circles of Position required All these Lines may most elegantly and ●asily be drawn and expressed on a large Ceiling with competent exactness in this manner following First provide a Quadrant of Brass or thin Wood of about a foot Radius or 14 15 or 16 inches also a Semi-circle of Brass of about half an inch broad and about an inch less Radius than the Quadrant the Semi-circle must have at each end somewhat more than to make up 180 degrees to nail to the Transum or stroke of the Window where your Glass is to lie Also to one Ray of the Quadrant must be fastened two strong Wyres to fasten the Quadrant to play after the manner of a Casement one Point in the Ray of the Quadrant next the Center sticking in the hole where you intend the Glass shall lie and the other end fastened to a piece of Wood nailed on the two upright Posts of the Window so that howsoever you turn the Quadrant fixed on those two Points it may be precisely Perpendiculer the Semi-circle playing all the while through a hole in the other Ray of the Quadrant that lies Horizontally having a Skrew to stay the Quadrant at any Azimuth as in Figure IV is plainly expressed to your view Then having degrees on the Semi-circle and also on the Quadrant and having fitted the Quadrant on his Points to play precisely Perpendiculer which the Plummet in the Quadrant will shew by turning it round about and put in the Semi-circle through the hole in the Horizontal Ray of the Quadrant and nailed it so to the Stoole or Transum of the Window by putting two little bits of Wood under the ends that the Quadrant may play evenly and smoothly on the Semi-circle-to almost the half-round for quite the half-round will not be necessary or useful Then is the Instrument set fit for its Operation Then first to find the Declination or rather the true Meridian-line Turn the Quadrant till the edge be just against the Sun and at the same instant get the Suns Azimuth then if you count so much as the Suns Azimuth is on the Brass Semi-circle from the place the Quadrant stands at the right way a Line drawn from the Center of the Semi-circle or Quadrant to that place is the true Meridian Line which place you must carefully find by two or three tryals and then mark it with Ink or otherwise on the Brass Semi-circle to count from thence in setting the Quadrant to the Suns Azimuth at every hour and quarter in those Points you intend to draw on the Ceiling which a crooked Rule set to 00 on the Semi-circle to pass to and fro with the Quadrant will make easie Then having a Table of the Suns Altitude and Azimuth at every hour in that Latitude you draw the Dial for First set the Quadrant to the Azimuth at the hour counted the right way from the marked Meridian-line on the Semi-circle and there skrew it fast Then extend the Thred fastened in the Center of the Quadrant till it cut the Altitude of the Sun at the same hour and Azimuth on the degrees of the Quadrant and extending the Thred to the Ceiling make a mark for that Hour and Altitude that Point at that time gives the true place where the reflected spot will fall at that Hour Azimuth and Altitude on the Ceiling of the Room This work repeated as many times as there be hours and quarters in the Summer and Winter Tropicks for about 5 hours and in the Equinoctial and any where between