Selected quad for the lemma: land_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
land_n	foot_n	length_n	perch_n	1,311	5	14.4050	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A64224	Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.	Taylor, John, mathematician.	1687 (1687)	Wing T534; ESTC R23734	190,995	514

Observation taken according to the Doctrine of the last Proposition Upon your Paper draw a streight line as CD make it 5 Chains 97 100 take CB in your Compasses and strike an Obscure Arch then take BD and with that extent in D cross the former Arch in B and draw BC and BD. Then take in your Compasses BE and on B strike an Obscure Arch then take DE and also cross the former Arch in E and draw BE and ED. Lastly take the line CA and on C strike an Obscure Arch then take AB and on B intersect the former Arch in A then draw CA and AB so have you on your Paper the exact figure of the Field A B C D E as was required SECT III. Of finding the Area or superficial Content of any Field lying in any Regular or Irregular Form by reducing the Irregular Fields into Regular Forms HAving already shewed how to take the Plot of any Field divers ways by the Semicircle and Chain and also by the Protractor how to delineate the Draught thereof on Paper c. I now come to shew how the Area or superficial Content of a Field may be attained i. e. how many Acres Roods and Perches are therein contained To which end know That a Statute Pole or Perch contains 16½ Feet that 40 of those Perches in length and 4 in breadth makes an Acre So that an Acre contains 160 Perches and a Rood 40 Perches according to the Statute 33 of Edward the First Now the Original of the Mensuration of Land and all other Superficies depends on the Mensuration of certain Geometrical Figures as a Triangle Square c. which may be measured according to the directions of § 2. chap. 4 of Geometry It would therefore here be superfluous to make a repetition of things already handled I shall therefore omit it and come to shew how any Field lying in any Irregular Form may be measured by converting it into Regular Figures for it seldom happeneth but that the Plot of a Field is either a Trapezium or a many-sided Irregular Figure therefore I shall first shew how to find the Content of a Trapezium Secondly of any many sided Irregular Figure and thirdly how to reduce any number of Perches into Acres c. and on the contrary any number of Acres into Roods and Perches PROP. I. How to find the Area or superficial Content of a Trapezium Trapeziums are Quadrangles of sundry forms yet take this as a general Rule whereby their Content may be found Admit it be required to find the Area or superficial Content of the Trapezium ABCD to find which first by drawing the Diagonal AD you reduceth it into two Triangles ABD and ADC Then by prop. 3. § 1. of Chap. 4 let fall the two Perpendiculars on AD from B and C Then by prop 3. § 2 Ch. 4. find the superficial Content of the two Trianangles ABD and ADC which added together is the Content os the Trapezium by which Rule the Content of the Trapezium A B C D is found to be 630 Perches PROP. II. To find the Area or superficial Content of a many-sided Irregular Figure Admit A B C D E F G to be an Irregular many-sided Figure representing a Field whose Content is required now in regard the Field is Irregular therefore reduce it into Triangles viz. ABC ACG EDG DEG and DFG and then find the Content of all the said Triangles by prop. 3. § 2. Chap. 4 and add their Contents together so shall that Sum be the Content of the said Figure and so do for any other PROP. III. How to reduce any Number of Perches into Acres and on the contrary Acres into Perches To find how many Acres are contained in any Number of Perches given you must consider that 160 Perches do make a Statute Acre therefore if you divide the Number of Perches propounded by 160 the Quotient is the number of Acres contained therein and if there be a remainder which exceed 40 then divide it by 40 the Quotient shall be Roods and the remainder Perches But on the contrary if it were required to find how many Perches are contained in a certain Number of Acres propounded You must multiply the Number of Acres by 160 the product shall be the Perches contained therein It may be here expected that I should shew how to reduce customary Measure to statute Measure and also that I should treat of the Division and Separation of Land. But because Mr. Rathborne and of late Mr. Holwell hath sufficiently explained the same by many varieties I shall for brevity sake omit it and leave you to consult those Authors SECT IV. Of the Use of the Semicircle in taking Altitudes Distances c. PROP. I. How by the Semicircle to take an Accessible Altitude ADmit AB be the Height of a Tower which is required to be known First placing your Semicircle at D with the Arch downwards and the two sights fixed place it Horizontal and screw it fast Then move your Index till through the sights thereof you espy the top of the Tower at B and observe what degree the lower part of the Index cutteth and that will be equal unto the Angle at D 50 deg Then measure the distance DA which let be 299 Feet Now the heighth of the Tower AB is found according to prop. 1. § 2. Chap. 5. thus As Sc. V. at A 50° 00 ' To Log. cr DA 299 Feet So is S. V. at A 50 00 To Log. AB 356 3 10 Feet the height of the Tower AB required PROP. II. How by the Semicircle to take an Inaccessible Altitude at two Stations Let AB be a Tower whose height is required having placed your Instrument at E as before direct your sights unto the Top of the Tower at B and finding the Degree cut by the Index to be 23° 43 ' I say it is the Quantity of the Angle at E Now by reason of Water or such like Impediment you can approach no nearer the Base of the Tower than D Therefore measure ED which is found to be 512 Feet then at D make the like Observation and the Angle at D appeareth to be 50° 00 ' whose Complement is the Angle DBA 40° 00 ' and the Complement of the Angle E 23° 43 ' is the Angle EBA 66° 17 ' Now if the lesser Angle at B be taken out of the greater the remainder is 26° 17 ' the Angle EBD Now first to find the side BD of the Trangle EBD say according to prop. 1. § 3. chap. 5. thus As S. of V. EBD 26° 17 ' To Log. cr ED 512 Feet So is S. of V. at E 23° 43 ' To Log. cr BD 465 2 10 Feet required Now to find the Height of the Tower AB say according to prop. 2. § 2. chap. 5. thus As Radius or S. 90° To Log. cr DB 465 2 10 Feet found So is S. of V. BDA 50°

the people are strong and valiant and though Mahometans yet they War with the Turks for the Mahometan Religion in expounding the Alcoran From hence comes Bezoars and other pretious Stones Pearls and Silk Works It hath these famous Cities with Media Viz Taurus Gorgia Cogsolama Hysphan Erat Sus Schiras and Ormutz and these Rivers Tiriditiri and Bendimuz Tartary bounded East with China the Oriental Ocean and the Straits of Anian West with Russia and Podolia North with the Frozen Ocean and South with China Now the Tartarians are divided into certain Collonies and differ in manners and Trade of Living and are Men of a Square Stature broad Faces and look a Sq●int they are hardy and valiant they will eat either Horse-flesh or Man's Flesh. They drink Blood and Mares-milk their Habit is very homely they are some Mahometans and some Pagans their chief Commodity is rich Furrs and they are governed by the great Cham of Tartary and hath these famous Cities viz. Zahasp Samarcanda Thibet Cambalu and Tatur and Rivers famous are Joniscoy Oby Chezel and Albiamu China is bounded East with the Oriental Ocean West with India and Cathay North with Altay and the Eastern Tartaries and South with Canchin-China It hath 591 Provinces 1593 Walled Towns 1154 Castles 4200 unwalled Towns and such an infinite Number of Villages that the whole Countrey seems as one Town It is reported that the Prince can bring into the Field 300000 Foot and 200000 Horse The Land is fruitfull in Grain full of wild and tame Beasts it yields Silk Pretious Stones Gold Copper c. The People are ingenious and great Artists Witness their Wagon made to sail over the Land driven by the Wind and Historians tells us that the Art of Printing and of making Guns is more Ancient with them than with us They are Idolaters and worship the Sun Moon and Stars also they worship the Devil himself that he may not hurt them And it hath these most famous Cities viz. Paguin Quinjay Caneun Macao Mancian and Magaia with the great River Quinam India is bounded East with the Oriental Ocean and part of China West with the Persian Empire North with Mount Taurus and South with the Indian Ocean This Countrey hath an Exact temperature of Air two Summers and a double encrease blest with all things necessary for the Life of Man. It hath Mines of Gold and Silver Pretious Stones Spices and Medicinal Druggs abundance of Cattle and Cammels Apes Dragons Serpents also multitude of Elephants a Creature of a vast Bigness some of which are said to be nine Cubits high and as many long and five Cubits thick It is a Creature of wonderfull Sence for 't is reported of the Elephant on which King Phorus sate in the Warrs of Alexander finding his Master strong and lusty rushed boldly into the thickest of the Enemies Army But when he once perceived him to be faint and weary he withdrew himself out of the Battel kneel'd down and into his own Trunck received all the Arrows directed at his Master It also is of a most prodigious strength for it is reported to carry a Wooden Tower on his Back with thirty fighting men besides the Indian that Rules him The Sea yields variety of Pearls and Fish here is also the Leviathan or Whale of which Pliny says there are some of 960 Foot long here is the Rhinoceros also found such as hath of late been publickly shewed at the Bell-savage Inn on Ludgate-hill in London a deadly and cruel Enemy to the Elephant for though he be less yet he will whet his horn against the Rocks and then therewith strive to rip up the Elephants Belly and is by many Naturalists supposed to be the Unicorn for all the parts of his Body especially his Horn is a soveraign Antidote against Poyson This Countrey is inhabited by Indians Moors Arabians Jews Tartars and Portugeze The Natives are Tawny tall and strong and very punctual to their word They eat no Fish nor Flesh but live on things without life being Pythagoreans It is also reported that when the Husband dies and is burning on the Funeral Pile that then the Wife leaps into the Fire and so the living and the dead burn together which made the Poet say Et certamen habent lethi quae viva sequatur Conjugium pudor est non licuisse mori Ardent victrices praebent pectora flammae Imponuntque suis ora perusta viris In India these are the chief Cities viz. Amedabur Cambaia Gouro Diu Bengala Pangab Agra Goa Calicut Visnagor Pegu Arracan Malaca Camboge and Faefo The fairest Rivers are Indus Ganges and Mecon The Oriental Islands are these viz. 1. Japan 2. The Phillepinae Isles 3. The Maluccose 4. Bantam 5. The Selebes 6. Borneo 7. The Isles of Java 8. Sumatra 9. Zeiland and other lesser Isles of which we shall not treat 1. Japan is a rich Island abounding with Gold So that Paulus Ventius saith that in his time the King's Palace was covered therewith It is a Mountainous Countrey a healthfull Air here the Wheat is ripe in May. It 's full of Woods of tall Cedars abundance of Beasts Wild and Tame and also Fowls The Inhabitants are strong and witty and have but one Language They are Christians and Idolaters and the chief Cities are these viz. Bungo Meaco and Sacay The Phillipine Isles are in Number 40 called so in honour to Philip II. King of Spain and are now inhabited by the Natives and Spaniards they are in a good Air and stored with rich Commodities and in them are these Cities Lusor Manille and Mindanao The Moluccoes Islands are many in Number their Commodity is Cinnamon which grows in whole Woods it is the Bark of a Tree stript and laid in the Sun till it looks red and in three years time the Tree receives his Bark again Ginger Nutmegs Mastick Aloes Pepper and Cloves now the Clove groweth on a Tree like a Bay Tree yielding blossoms first white then green and at last red and hard and then are Cloves In it is also found the Bird of Paradice and no where else which for the strangeness and fairness of Feathers exceeds all the Birds in the World. The People are Pagans Here is a Mountain of a prodigious height above the Clouds and agreeing to the Element of Fire which it seems to mount unto through Flames wherewith a dreadfull Thunder and a dark Smoak it sends forth continually The Isles of Bantam are in Number seven one of which is continually burning the Inhabi●ants are Barbarous Weak of Bodies Slothfull Dull and lying most confusedly together without Rule and are Mahometans Its Commodities are Nutmegs and both the yellow and white Saunderses Now the Nutmeg grows on a Tree like a Peach Tree the innermost part of whose Fruit is the Nutmeg and is covered over with a Coat which ripe is called Mace they yield their Fruit thrice in the Year to wit at April August and December The Selebes