Selected quad for the lemma: land_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
land_n	acre_n	foot_n	perch_n	1,923	5	14.3073	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A29761	The description and use of the trianguler quadrant being a particular and general instrument, useful at land or sea, both for observation and operation : more universally useful, portable and convenient, than any other yet discovered, with its uses in arithmetick, geometry, superficial and solid, astronomy, dyalling, three wayes, gaging, navigation, in a method not before used / by John Brown, philomath.	Brown, John, philomath.	1671 (1671)	Wing B5041; ESTC R15524	175,812	507

part 2 shillings and 6 pence or every 10th part 2 shillings because 8 half-crowns or 10 two shillings is 20 shillings Example Right against 6 Inches and a half for 6 l. ●0 s. on this other Line I find ● pence 3 farthings the price of one Foot at 6 l. 10 s. per Rod And at 7 farthings per Foot I find near 40 shillings or 2 pound per Rod. Also at 40 shillings per Square found at 40 on Foot-measure is 4 pence 3 farthings 1 ● per Foot found just against it on the Inches CHAP. VIII The use of the Line of Numbers in measuring of Land by Perches and Acres Problem I. At any length of the Land to find the breadth of the Acre IN the Answering of this Question it is not amiss but very needful to premise how many Square Inches Feet Yards Perches or Chains I mean a Chain of ●6 ●oot long is contained in a Square Acre of Land for which purpose have recourse to the Table annexed which is drawn with great care and exactness for that purpose By which Table you may perceive That 6272640 Square inches are contained in one Square Acre And 100000 or one hundred thousand Square Links of a 4 Pole Chain make a Square Acre And 43560 Square Feet make a Square Acre And 4840 Square Yards make a Square Acre And 1742 4 Square Paces make a Square Acre And 160 Square Perch make a Square Acre And 10 Square 4 Pole Chain make one Acre As in the Table you may see And 3097 1 ● Square Ells make one Acre of Land Statute measure The Table   Inch Links Feet Yards Pace Perch Chain Acre Mile Inch 1 7.92 12 36 60 198 792 7920 63360 Link 62.720 1 1.515 4.56 7.575 25 100 1000 8000 Feet 144 2.295 1 3 5 16.5 66 660 5280 Yard 1296 20.755 9 1 1.66 550 22 220 1760 Pace 3600 57.381 25 2.778 1 3.3 13.2 132 1056 Perch 39204 625 272.25 30 25 10.89 1 4 40 320 Chain 627264 10000 4356 484 174.24 16 1 10 80 Acre 6272640 100000 43560 4840 1742.4 160 10 1 8 Mile 4014489600 64000000 27878400 3097600 1115136 102400 6400 640 1 Square Inches Links Feet Yards Pace Perch Chain Acre Mile Then as the length of the Land given in Feet Yards Paces Perches or Chains is to the number of Square Feet Yards Paces Perches or Chains in a Square Acre So is 1 to the breadth of the Land in that measure the length was given to make a Square Acre See the Examples of all these measures in their order viz. of Feet Yards Paces Perches and Chains Suppose a piece of Land be 660 Feet long or 220 Yards or 132 Paces or 40 Perches or 10 Chains in length which several measures are all of the same quantity I would know how much in breadth I must have to make a Square Acre Extend the Compasses from the length given viz. 660 Feet or 220 Yards or 132 Paces or 40 Perches or 10 Chains to 43560 for Feet or to 4840 for Yards or to 1742 for Paces or to 160 for Perches or to 10 for Chains To the Number in the Table for that measure in a Square Acre the same Extent applyed the same way from 1 shall reach to the Feet Yards Paces Perches or Chains required Note the Work 1. As 660 to 43563 the Feet in a Square Acre So is 1 to 66 the breadth in Feet required 2. As 220 the length in Yards to 4840 the Square Yards in a Square Acre So is 1 to 22 the breadth in Yards required 3. As 132 the length in Paces to 1742 So is 1 to 13-2 the breadth in Paces sought 4. As 40 the length in Perches to 1●0 So is 1 to 4 the breadth in Perches 5. As 10 the length in Chains to 10 So is 1 to 1 the breadth in Chains required 6. As 176 the length in Elles to 3097 ⅓ So is ● to 17-6 the breadth in Elles required To work this by the Line of Lines say 1. As the 43560 to = 660 So is = 10 to 66 Latterally 2 As the Latteral 220 to Parallel 4840 So is Latteral 1 to Parallel 22 single double or four-fold 3. As 132 doubled is to = 1742 likewise doubled because it falls near the Center So is 1 quadrupled viz. 4 to = 13-2 quadrupled viz. 52-4 4. As 160 to = 40 So is = 10 for 1 to 4 Perch 5. As 10 to = 10 So is = 1 to 1 the breadth required If you would know how much breadth at any length shall make 2 3 or 4 Acres Then say As the length given to the quantity of one Acre in that measure according to the Table So is 2 3 4 or 5 to the breadth required Example at 30 Perch in length The Extent from 30 to 160 shall reach the same way from 4 to 21 Perch and 34 of 100 or 5 Foot 06 Inches the breadth of 4 Acres at 30 Perches in length Problem II. The length and breadth given in Perches to find the Content in Perches of any piece of Land The Extent from 1 to the breadth in Perches shall reach the same way from the length in Perches to the true Content in Square Perches Example As 1 to 50 so is 179 to 8950 the Content in Square Perches Problem III. The length and breadth being given in Perches to find the Content in Square Acres The Extent from 160 to the breadth in Perches shall ●each the same way from the length in Perches to the Content in Square Acres Example As 160 to 50 so is 179 to 5-58 Acres or 5 A●res 2 Rood and 13 Perches Problem IV. The length and breadth of a piece of Land being given in Chains to find the Content in Acres The Extent from 1 to the breadth in Chains and 100 parts which are Links shall reach the same way from the length in Chains and Links to the Content in Square Acres Example As 1 to 5 Chains 52 Links the breadth So is 8 Chains 72 Links to 48 Acres and 3960 Square Links Problem V. Having the Base and Perpendiculer of a Triangle given in Chains or Perches to find the Content in Acres The Extent from 2 if you use Chains or from 320 if you measure by Perches to the whole Base shall reach the same way from the whole Perpendiculer to the whole Content of the Triangle or if it be a Trapezia joyn both the Perpendiculers in one sum Example As 2 for Chains to 3-63 the whole Perpendiculer So is 11-80 the whole Base to 21 Acres 42 Links the Content of the whole Triangle Or in Perches As 320 to 14-55 the Perpendiculer in Perches So is 47-20 the length or base Line in Perches to 21 Acres 24 Links the Content in Acres Problem VI. The Area or Content of a piece of Land given that was measured by Statute-Perches to find the Content of the same piece of Land in wood-Wood-land measure or Customary Acres or Irish Acres For the better understanding of this Problem

what ibid. Circles of Position what ibid. Of Terms in Astronomy What a Sphear is Page 50 Of ten Points and ten Circles of the Sphear Page 51 The 2 Poles of the World or Equinoctial ibid. The 2 Poles of the Zodiack Page 52 The 2 Equinoctial-points ibid. The 2 Solstitial-points Page 53 The Zenith and Nadir Page 54 The Horizon the Meridian the Equinoctial the Zodiack the 2 Colures the 2 Tropicks and 2 Polar Circles Page 55 56 58 Hours Azimuths Almicanters Declination Latitude Longitude Right Ascention Page 59 60 Oblique Ascention Difference of Ascentions Amplitude Circles and Angles of Position what they are Page 61 62 To rectifie the Trianguler Quadrant Page 63 To observe or find the Suns Altitude Page 64 To try if any thing be level or upright Page 66 To find what Angle the Sector stands at at any opening or to set the Sector to any Angle required Page 67 68 The day of the Month given to find the Suns Declination true Place Right Ascention or Rising and Setting by inspection only Page 71 To find the Suns Amplitude and difference of Ascentions and Oblique Ascention Page 73 To find the Hour of the Day Page 74 To find the Suns Azimuth Page 75 The use of the Line of Numbers and the use of the Line of Lines both on the Trianguler Quadrant and Sector one after another in most Examples To multiply one Number by another Page 78 A help to Multiply truly Page 85 A crabbed Question of Multiplication Page 90 Precepts of Reduction Page 94 To divide one Number by another Page 95 A Caution in Division Page 97 To 2 Lines or Numbers given to find a 3d in Geometrical proportion Page 98 Any one side of a Figure being given to find all the rest or to find a proportion between two or more Lines or Numbers Page 99 To lay down any number of parts on a Line to any Radius Page 100 To divide a line into any number of parts Page 102 To find a Geometrical mean proportion between two Lines or Numbers three wayes Page 104 To make a Square equal to an Oblong Page 107 Or to a Triangle ibid. To find a Proportion between unlike Superficies Page 108 To make one Superficies like another Superficies and equal to a third Page 109 The Diameter and Content of a Circle being given to find the Content of another Circle by having his Diameter Page 111 To find the Square-root of a Number ibid. To find the Cube-root of a Number Page 113 To find two mean Proportionals between two Lines or Numbers given Page 116 The Diameter and Content of a Globe being given to find the Content of another Globe whose Diameter also is given Page 118 The proportion between the Weights and Magnitudes of Metals Page 119 The Weight and Magnitude of a body of one kind of Metal being given to find the Magnitude of a body of another Metal of equal weight Page 121 The magnitudes of two bodies of several Metals having the weight of one given to find the weight of the other Page 122 The weight and magnitude of one body of any Metal being given and another body like unto the former is to be made of any other Metal to find the diameters or magnitudes of it Page 123 To divide a Line or Number by extream and mean proportion Page 124 Three Lines or Numbers given to find a fourth in Geometrical proportion Page 128 The nature reason of the Golden Rule Page 129 The Rule of Three inversed with several Cautions and Examples Page 132 The double and compound Rule of Three Direct and Reverse with Examples Page 139 The Rule of Fellowship with Examples Page 148 The use of the Line of Numbers in Superficial measure and the parts on the Rule Page 154 The breadth given in Foot-measure to find the length of one Foot Page 156 The bredth given in Inches to find how much in length makes one Foot ibid. The bredth given to find how much is in a Foot-long Page 157 Having the length and bredth given in Foot-measure to find the Content in Feet ibid. Having the bredth given in Inches and length in Feet to find the Content in Feet Page 158 Having the length bredth given in Inches to find the content in superficial Inches Page 160 Having the length bredth given in Inches to find the Content in Feet superficial Page 161 The length and bredth of an Oblong given to find the side of a Square equal to it Page 163 The Diameter of a Circle given to find the Circumference Square equal Square inscribed and Content Page 164 The Content of a Circle given to find the Diameter or Circumference Page 166 167 Certain Rules to measure several figures Page 108 A Segment of a Circle given to find the true Diameter and Area thereof Page 169 A Table to divide the Line of Segments Page 170 The use of it in part Page 171 The measuring of Triangles Tapeziaes Romboides Poligons and Ovals Page 172 173 A Table of the Proportion between the Sides and Area's of regular Poligons and the use thereof for any other Page 174 175 To make an Oval equal to a Circle and the contrary two wayes Page 175 176 The length and bredth of any Oblong Superficies given in Feet to find the Content in Yards Page 177 The length and bredth given in feet and parts to find the Content in Rods Page 179 The nearest way to measure a party Wall Page 180 To multiply and reduce any length bredth or thickness of a Wall to one Brick and a half at one Operation Page 183 Examples at six several thicknesses Page 184 To find the Gage-points for this reducing Page 185 At one opening of the Compasses to find how many Rods Quarters and Feet in any sum under 10 Rods Page 186 The usual and readiest equal wayes to measure Tileing and Chimnyes Page 187 Of Plaisterers-work or Painters-work Page 188 Of particulars of work usually mentioned in a Carpenters-Bill with Cautions Page 189 190 At any bredth of a House to find the Rafters and Hip-rafters length and Angles by the Line of Numbers readily Page 191 The price of one Foot being given to find the price of a Rod or a Square of Brick-work or Flooring by inspection Page 193 At any length of a Land given to find how much in bredth makes one Acre Page 194 A useful Table in measuring Land and the use thereof in several Examples Page 196 197 The length and bredth given in Perches to find the Content in Squares Perches Poles or Rods Page 200 The length and bredth in Perches to find the Content in Acres ibid. The length and bredth given in Chains to find the content in square Acres Quarters and Links Page 201 To measure a Triangle at once without halfing the Base or Area ibid. To reduce Statute-measure or Acres to Customary and the contrary ibid. A Table to make Scales to do it by measuring or inspection with Examples Page

it is necessary to describe the several kinds and quantities of Perch●s which are spoken of by Authors and used in several places together with their proportion to the Statute Perch of 16 Foot and a half square London measure The kinds of Perches are first Statute-measure of 16 foot ½ to the Perch according to the Standard at Guild-Hall or the King's Majesties Exchequer Secondly Woodland-measure a Perch whereof contains 18 Foot Square of the same London measure Thirdly Irish Acres of 21 Foot to the Perch or Pole And lastly Three sorts of Customary used in several places of England of 20 24 Cheshire measure and 28 Foot square to the Perch As for the Proportions one to another that is as 16 ½ to 18 20 21 24 28 or any the like wha●soever But to find their difference in Squares or Scales the Work is thus By the Line of Numbers First appoint what Number in an Inch shall be the Scale for Statute measure which I shall appoint a Scale of 30 in an Inch. Then the Extent from 16 ½ to 18 for Woodland measure shall reach the contrary way from 30 being twice repeated to 25-2 so I say that a Scale made to 25-2 in an Inch shall be the Scale for a Woodland Perch of 18 Foot Square and in proportion to that of 16 Foot ½ at 30 parts in an Inch. Again For Irish Acres which are measured by a Pole of 21 Foot to a Perch the Extent on the Line of Numbers from 21 to 16 ½ shall reach being turned twice the same way from 30 to 16 ½ the quantity of the Scale for Irish Acres to be in proportion to a Scale of 30 in an Inch for Statute-measure and so for the rest or any other whatsoever as in the following Table 16 ½ The Scale that is to it proportionable to 30 for Statute measure is 16 ½ is 30 00 Statute-Measure 18 18 25 22 Woodland-Measure 20 20 20 42 Customary 21 21 18 = 50 In an Inch for Irish. 22 22 16 89 Customary 24 24 14 20 Customary Cheshire-measure 28 28 10 42 Customary 30 30 09 08 Or any other So that if you have several Scales made upon a Rule to draw the Plot of your Field withal to these Proportions which may be convenient enough for Difference between one another then for the reducing of the quantity of Acres found by Statute-measure to Woodland Irish or Customary is no more but thus Take the Acres measured by Statute-measure out of the Scale of 30 in an Inch appointed for Statute measure and measure it in the Scale of 25-22 in an Inch for Woodland or by the Scale of 18-55 for Irish Acres or by the Scale of 16-89 for Customary and you shall have the quantity of Woodland Irish or Customary Acres required Example Suppose I have 30 Acres of Statute measure how many Acres of Woodland Irish or Customary measure will they make Take 30 from the Scale of 30 in an Inch and on the Scale of 25-22 it shall give 25-22 for so many Woodland Acres and on the Scale of 18-55 for Irish Acres it shall give 18-55 for so many Irish Acres and on the Scale of 16-89 in an Inch for Customary Acres it shall give 16-89 for so many Customary Acres at 22 Foot to the Perch or Pole c. This being thus fully premised to work these Questions by the Line of Numbers only the Extent of the Compasses from 1●-5 the Feet in a Statute Perch to 18 the Feet in a Woodland Perch or to 21 the Feet in an Irish Perch or to 22 24 28 the Feet in a Customary Perch shall reach from 30 the Acres in Statute measure beng twice repeated to 25-22 the Acres in Woodland measure required c. it being a larger-Acre must nee●s be less in quantity Which work is performed by the back-Rule of Three in a duplicated proportion Problem VII Having the Plot or Draught of a Field and its Content in Acres to find by what Scale it was Plotted that is by what parts in an Inch. Suppose a Triangle or a Parallellagram or long Square do contain 4 Acres and a half which is set down in figures thus 4-50 which if I should measure by a Scale of 12 in an Inch might happen to be 2-25 Chains one way and 1 Chain 25 Links ●he other way which two sums being multiplied together make 2-5200 whereas it should be 4-5000 Therefore by th● 〈◊〉 of Numbers to gain 〈…〉 do thus Divide the dista●ce between 2-5200 and 4-5000 into two equal parts that distance laid the right way from 12 the Scale I measured by shall reach to 16 the Scale the Plot was made by For Note That if the Scale I guessed a● gives more than I should have then I have too many in an Inch but if less I must have more in an Inch as here which infallibly sheweth which way which is alwayes the same way as you divided the space from the guessed Sum or Product to the true Product To this Rule may be referred the way to discover the true size of Glasiers Quarries the method whereof is thus They are usually cut to and called by 8s 10s 12s 15s 18s and 20s in a Foot or any other what you please that is to say 8 quarries of Glass of 8s make a Superficial Foot and 10 quarries of 10s make a Foot Superficial and 12 of the 12s c. Also they are cut in a Diamond form to one sort of Angle for the Squ●re quarries and another for the Long quarries The acute Angle of the Squar● quarries being 77 degrees and 19 〈…〉 and the acute Angle of the Long quar●●es ●7 degrees and 22 minutes The long ●as being just 6 inches long and 4 inches broad and the Square 10s 6 inches long and 4 inches and 80 parts of a 100 broad This being the standing Rule or Method and those two sizes being known I would find out any other as 13s or 14s or 17s and the like Do thus Divide the distance on the Line of Numbers between the Content of some known size and the Content of the inquired size into two equal parts and that distance laid the right way from the sides of the known size increasing for a bigger and decreasing for a less shall give the reciprocal sides of the size required Example The Sides Ranges Lengths and Breadt● of Square 10s are as in the Table following and I would have the Ranges Sides Length and Breadth of 14s an unusual Size The Content of a Square quarry of Glass called 10s is a just 10th part of a Foot which is 1 inch and 20 parts or one 10th part of a Superficial Foot containing 12 long inches And the Content of the size called 14 s must be one 14th part of the same measure or Foot Superficial which is 0-85714 that is 0-857 parts of one long inch in a 1000 parts Then by the Line of Numbers divide the space between 1-2000 the Content of the 10s and 0-857 the

204 Knowing the content of a piece of Land plotted out to find by what Scale it was done Page 206 The same Rule applied to the measuring of Glaziers Quarries Page 208 A Table of all the usual sizes of quarries Page 210 The bredth depth of any solid body being given to find the side of the square equal Page 211 The bredth and depth or square equal given to find how much in length makes one foot solid four manner of wayes according to the wordin● of the question Page 212 The bredth an● depth or the side of the square of any Solid given to find how much is in a Foot long solid measure three wayes according to the wording the question Page 219 220 The bredth depth and length of any solid body given to find the solid Content four wayes according to the wording the question Page 221 222 223. The 3 last Probl. wrought by the Sector Page 226 The Diameter of a Cillender given to find how much in length makes 1 foot 4 wayes Page 230 The diameter of a Cillender given to find how much is in a foot long 3 wayes Page 232 The diameter of a Cillender with the length given to find the Content 3 wayes Page 233 The Circumference given to find a foot 3 wayes Page 234 The Circumference to find how much in a foot 3 wayes Page 236 The Circumference and Length to find the Content 3 wayes Page 238 The customs allowances in measuring round Timber as Oak or Elm the like Page 240 The use of 2 Points for that allowance Page 242 To measure a round Pyramid or Steeple ibid. A nicity in measuring round Timber stated Page 246 To measure Globes and Segments of Globes both superficially round about and with th● solidity several wayes by Arithmetick and the Line of Numbers and solid Segments with a small Table of solid Segments Page 252 253 The Experimented Proportions between a Cube a Cillender a Sphear a Cone a Prism a Square and Trianguler Pyramid Page 257 The use of the sliding cover or Rule Page 259 The description Page 260 The Gage-points and places of them Page 261 The Uses to square a Piece to find how much in length will make 1 foot of square Timber Page 263 To find how much is in a foot long Page 264 The square and length given to find the Content Page 265 The Diameter of round Timber given to find how much is in a foot long Page 267 To find how much in length makes 1 foot Page 268 Diameter and length given to find the Content Page 269 The Circumference given to find how much is in a foot long Page 271 The Circumference given to find how much makes a foot ibid. The Circumference and length given to find the Content Page 272 To Gage round Cask by the Rule or Square counting 6 Foot for a Barrel of Beer or one Foot for 6 Gallons or one Foot for 7 Gallons and a half of Wine measure Page 273 The diameter and length of a Cask given to find the Content in Wine-gallons or Ale-gallons ibid. To Gage Brewers great round Tuns and to have the Content in Barrels at one work Page 274 The use of the other-side in superficial measure Golden Rule and Division Page 275 To make and measure the 5 regular bodies with the Declination and Reclination of every side at any scituation of them The Cube Page 277 The Tetrahedron Page 279 The Octahedron Page 281 The Dodecahedron Page 283 The Icosahedron Page 286 A Figure and a Table of all the Sides and Angles Page 294 Gaging by the Line of Numbers Page 295 To Gage great square Vessels and round Vessels Page 297 Artificially and Naturally with Examples Page 300 To find the mean Diameter and Gage-point Page 303 To find the Contents of Cask otherwise ibid. The Content and mean Diameter given to find the length of the Cask contrary Page 308 To find the wants nullage two wayes Page 311 A Table of the Wants in a Beer Barrel in Beer and Wine Gallons at any Inches wet or dry Page 317 The use of the Line of Numbers in Interest and several Examples thereof many wayes useful Page 324 The use of the Line in Military questions Page 332 The use of the Line in solid Proportions as the weights and measures of Rope and Burthen of Ships Page 336 The way to use the Logarithmal Tables Page 340 The use of the Rule in Geometry Astronomy in 50 Propositions or Uses by the perticular Scale or Quadrant the general Scale or Quadrant the Sector and Artificial Numbers Sines and Tangents Page 345 to 448 The use of the Trianguler Quadrant in finding of Heights and Distances accessable or inaccessable in 14 Uses Page 449 to 483. FINIS Radius Right-Sine Tangent Secant Chord Cosine Lateral-Sine Parallel Nearest-Distance Addition on Lines Substraction on Lines Rectifying Point Plain Pole of the Plain Declination Perpendiculer-line on the Plain Horizontal-line Reclination and Inclination Meridian-line Substile Stile Angle between 12 and 6. Inclination of Meridians Parallels Contingent Vertical-line Nodus or Apex Perpendiculer height of the Stile Foot of the Stile Virtical-point Axis of the Horizon Erect Direct Declining Reclining or Inclining-plains Oblique Circles of Position Poles Poles of the Zodiack Equinoctial-Points Solsticial-Points Zenith Nadir Horizon 1. Zodiack 4. Colures 5. 6. Tropicks 7. 8. Polar-Circles 9. 10. Hours Azimuths Almicanters Declination Latitude Longitude Right-Ascention Oblique-Ascention Ascentional Difference Amplitude Circles and Angles of Position * In both these the inversed Proportion is in th lower line Circle Half-Circle Quadrant or the quarter Lesser-parts Segments Triangles Rhombus Trapeziaes Regular-Polligons By th' Trianguler-Quadrant Sines Tangent Secant Chord Sines Tangents Secants Chords By the Sector-side Sine Tangent Tan. to 76. Secant By the Lines on the Edge Sines Tangent Secants Tangents beyond 45 degrees Artificial-logarithms The proof of the truth of the Instrument Quadrant Sector Quadr. Sector Quadrant Sector Quadr. Sector Quadr. Sector Quadr. Sector Sector Sector Quadr Sector Quadr. Sector Quadr. Quadr. By the Quadr. particularly Quad. Generally Quadr· Particularly Artificial-S T. Quad. Generally Sector Particular Quadr. Artificial-S T. Quad. Generally Sector Art Sine Quadr. Sector· Partic. Quadr. Art Sines Quadr. generally Sector Art Sine Quadr. Sector Partic. Q. Artific S. Gen. Quad. Sector Part. Q. Artificial S. T. Gen. Quad. Sector Partic. Q. Oblique-Ascention Artificial S. Tan. G. Quad. Sector Artificial-S T. Partic. Q. Gen. Quad Sector Partic. Q. Particular Quadr. Particular Quadrant Particular Quadrant Artificial-S T. Gen. Quad. Sector Particular Quadrant Gen. Quad. Sector Gen. Quad By Artificial Sines Tang. Particular Quadrant General-Quadr By the Artificial-Sines and Tangents By the Sector By Artifl S. T. General-Quadr Gen. Quad By the Sector Gen. Q●ad Sector Artificial S. Tat. Artificial S. T. By the General-Quadrant Sector Gen. Quad. By Artificial Sines Tang. By Artifi S. T. By the Sector General-Quadr Or Sector Particular Quadrant By the Artificial-Sines and Tangents General-Quadr Particular Quadrant Artificial-S T. Artificial-S T. Partic. Q. Gen. Quad Particular Quadrant Fig. I. Fig. I. Fig. I. Fig. II. Fig. V Fig. VI. Fig. IV. Fig. VII Fig. VIII