Selected quad for the lemma: reason_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
reason_n	angle_n	equal_a	line_n	4,117	5	11.1250	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A01017	Feudigraphia The synopsis or epitome of surueying methodized. Anatomizing the whole corps of the facultie; viz. The materiall, mathematicall, mechanicall and legall parts, intimating all the incidents to fees and possessions, and whatsoeuer may be comprized vnder their matter, forme, proprietie, and valuation. Very pertinent to be perused of all those, whom the right, reuenewe, estimation, farming, occupation, manurance, subduing, preparing and imploying of arable, medow, pasture, and all other plots doe concerne. And no lesse remarkable for all vnder-takers in the plantation of Ireland or Virginia ... Composed in a compendious digest by W. Folkingham. G.	Folkingham, W. (William)	1610 (1610)	STC 11123; ESTC S102453	47,378	98

pursue the Wadd But if the place cannot bee brought within view instrumentalize the tract at Randon the difference of intersection found by protracting the trauerse or by angular comparison shewes the point or degrée to be pursued Now for remote lines the operation is produced by the doctrine of Triangles one side and two angles or one angle and two sides being giuen As to instrumentalize a distance first point-forth two competent stations and from the first quantulate the angle betwixt the marke and second station and at the second station take the angle betwixt the first Station and marke Now the solution may be wrought either by Calculation or Proiection The first depends vpon the knowledge of Sines and Tangents and is founded vpon this Theoreme In all right-lined Triangles the mutuall proportion of one Latus to another is such as the Sines respecting their Angles are proportionall But for as much as this conclusion is more familiarly found out by protraction I will deferre the Proposition vntill another time By Proiection Protract or proiect first a line representig the stationall distance and from each extreame extend a line including an angle equall to the peculiar angle found the intersection of these two lines demonstrates the marke and the distances are manifested by the Scale The same reason serues for heights and depthes And by the continued progresse of such operations the Plots and Mapps of landes tenements Cities Townes and Countries are produced c. CHAP. V. THe Plotting of lands and possessions comprehends their Topographicall and Mathematicall Description and Consists in Delineation Tricking Delineation is conuersant in pourtraying the Types Surfaces and Scheames of the Subiect and Adiunct And for exact working of both these the Plaine-Table is most accomodate for the vse whereof and of other instrumm●ts there are peculiar Treatises extant and therefore I will onely touch some fewe Rules in briefe To Plot with Plaine-Table At each alternate angle produce diagonalls for plant-lines to the antegrade station and so compasse the Plot. To Plot a field at 2. or moe stations Extende lines from each station to euery marke chayning the stationall line onely To Rectifie the Plot diagone alternate angles Table retro grade the Ruler To Rectifie the stationall line From some competent plaine instrumentalize the leuell distance To retriue leuell or horizontall lines and angles in vnleuell and hypothenusall Plots From 2. or more competent stations vpon a plaine either naturall by position or rectified from remote in the Plot or adiacent delineate the whole Plot. And by this Plot to giue the true content note each line with the superficiall dimensions found by the Chaine To Plot irregular Arch-lines From the mids of the Chorde-extend a perpendicular to the Arch or proiect a Triangle by producing 2. Crures from the Chords extreames a iudicious eye rectified with these mensurations may ad vnguem pricke downe the Delineations The best way to expedite the exact Plotting of mixte irregulars and consequently of any Fielde Plant not the Table at euery Angle but to preuent pussing and to assure a iust closing extend from some fewe Maine Angles or competent stations in the Plot Base lines secants contingents parallels c. for Boundaries or deleble Plant-lines and from conuenient distances in the same distantiate euery By dispersed in the Plot and so pricke forth the Angles Curues and Deuiations For Delineating of Adiuncts as Edifices and other erections the Prospectiue glasse is facil compendious but for want thereof take this generall Rule Proiect all Plumbe-lines in Parallelizme perpendicular to a Parallel or supposed Common Base of conspicuous eminence So the Base of the Building proiected in due Site the modulets right angles by peculiar erection retaine like qualitie in Plano ex opposito but ex obliquo they doe alternately appeare acute and obtuse Other Delineations dependant succéed by consequence and the eye by serious obseruation of stationall aspect may with facilitie giue the Vmbrage but the Transposition and fore-shortening of some lines require more particular Rules which with diuers other matters I am héere constrained to cut-off least this worke intended for a Breuiat should grow vnto too great a Volume And therefore for this time this shall suffize for Delineation CHAP. V. THe Tricking of Plots consists in Complements and Compartiments Complements comprehende the Flie or Flies Scale and Compasse Kalender Characters Colours c. The Flie is a Card diuided into eight sixtéene thirty two equall parts in the Limbe with competent extention to shew the Meridian and Coastages of the Plot. Meridians are diuers wayes found-out but most spéedily and exactly by helpe of a Dyall or by striking a line vpon your Table or erecting poles vpon your Plot in a right line directing to the Cynosure or Pole-starre when it is perpendicular to Alliot the Thil-horse of Charles-Waine Otherwise at the Sunnes first cutting of the Horizon strike a line towards the same vpon your Table and erect a marke in the field-line At the Sunnes going downe the same day plant your Table as before by helpe of the marke erected and strike another line to the Sunne from the first point Now describe a Circle vpon this stationall point to cut the two extended lines at equall lengthes The Diameter that mediates the Arch of each Sector is the Meridian c. The Scale and Compasse are no lesse requisite and may be florished with Fruitage or Imagery The Kalender or Index serues for a Directory to expedite the intimation of particulars with signance of due Characters The Colours would bee appropriated and suited to the seuerall Modulets of the Plot to distinguish their Natures Tenures Owners or such like As Arable for Corne may be dashed with a pale Straw-colour compounded of Yellow Oker and White leade or of Pincke and Verdigreece Meddowes may be washed with a light Gréene by taking more Verdigreece and lesse Pincke Pasture would be put into a déeper Gréene made of the mixture of Azure and Smalts with Pincke Heathes and Fennes may be distinguisht with deader Gréene deriued from Yellow and Indico Trées may haue a sadder Gréene composed of white Leade and Verdigreece Barke Blocks Timber Stone c. may bee fitted with Vmber and White Waies and Mud-wals may haue white-leade with rust of Iron or with Oker and Browne of Spaine Water Siluer Glasse Crystal c. may be represented with Indico and Azure or blacke Leade Seas may haue their gréenish Skie-colour expressed with Indico Smalts or Azure White leade and Verdigreece And thus both these and diuers other colours with their due proportion may with small practise be easily produced and multiplyed And it will suffice to tract the Verges onely of Land-Modulets whatsoeuer you please to signifie thereby But howsoeuer you bestow these Colours of distemper they must be ground and