The Young Surveyor's Guide: Or, A New Introduction to the Whole Art of Surveying Land: Both by the Chain and All Instruments Now in Use. Now First Published from an Original M.s. to which is Added, All the Useful Geometrical Definitions, Axioms, Problems and Theorems, which Relate to this Art ... There is Also Added, by Way of Appendix, a New Way of Surveying Large Tracts of Land ... The Manner of Making Up and Preparing Transparent Colours for Beautifying Maps ... &c. The Tables of Artificial Numbers, Sines and Tangents ...J. Knapton, 1717 - 375 Seiten |
Im Buch
Ergebnisse 1-5 von 38
Seite 9
... Bafe , and is called a right Cone , if the Axis be perpendicular to the Bafe , if not , a Scalene one . ? A Cylinder is a folid Figure , rifing from a circular Bafe as the Cone does ; but the right Line end all in an equal Circle . A ...
... Bafe , and is called a right Cone , if the Axis be perpendicular to the Bafe , if not , a Scalene one . ? A Cylinder is a folid Figure , rifing from a circular Bafe as the Cone does ; but the right Line end all in an equal Circle . A ...
Seite 19
... Bafe oppofite to the equal Legs are equal . Let the Triangle A C B be fuppofed two Triangles , and the Situation of one con vers to that of the other , as bca : B caufe in the two Triangles ACB and b ca , the fide AC is the fide bc ...
... Bafe oppofite to the equal Legs are equal . Let the Triangle A C B be fuppofed two Triangles , and the Situation of one con vers to that of the other , as bca : B caufe in the two Triangles ACB and b ca , the fide AC is the fide bc ...
Seite 23
... Bafe ac , then the < a will dba ( by the 6th Prop . ) and < c , = < ebc ( by the 6th Prop . ) butd ba -- < abc < cbe to two right Angles ( by the 4th Prop . ) . < a + c + < abc two right Q. E. D .. CORROL ARTI . Hence by having one of ...
... Bafe ac , then the < a will dba ( by the 6th Prop . ) and < c , = < ebc ( by the 6th Prop . ) butd ba -- < abc < cbe to two right Angles ( by the 4th Prop . ) . < a + c + < abc two right Q. E. D .. CORROL ARTI . Hence by having one of ...
Seite 26
... Bafe , and being between the fame Parallels , are equal . For AB EC & c . ( by the eth ) a BAF = △ ( ECG by the 1A ) from both of which take away the common 4 DEF , and there will remain the Trapezium AEDB = Trapezium DCFG , to each of ...
... Bafe , and being between the fame Parallels , are equal . For AB EC & c . ( by the eth ) a BAF = △ ( ECG by the 1A ) from both of which take away the common 4 DEF , and there will remain the Trapezium AEDB = Trapezium DCFG , to each of ...
Seite 27
... Bafe AB , and being between the fame Parallels CF and AB are always equal . The Triangle ABC , is equal to the Triangle ADB . Draw the line DB parallel to AC , and the line BF parallel to AD , then there will be made two Parallelograms ...
... Bafe AB , and being between the fame Parallels CF and AB are always equal . The Triangle ABC , is equal to the Triangle ADB . Draw the line DB parallel to AC , and the line BF parallel to AD , then there will be made two Parallelograms ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD Acres alfo Bafe becauſe Breadth Cafe caufe Center Chains and Links Circle Circumference Co-fine Sine Co-Tang Co-fine Tangent Co-Tang Colour Compaffes contain Content defcribe the Arch Diameter direct your fights divide Divifion draw a Line draw the Line Example fame Feet fetting one foot feven feveral fhall fhew Field Book Figure firft fmall fome foot diftance ftand fuch fuppofe fure given Ground Gunter's Chain Hedge heighth Houfe Inches Index Inftrument interfect laft leffer left fide Length Line BC Line CD Mark meaſure moft muft multiply Number obferved Off-fet oppofite Parallelogram Perches Perpendicular plain Table prick Prob Proportion protract Protractor Quotient Rhombus right Angles right fide right Line Roods Scale of equal Sine Co-fine Tangent Sine Degree Square Stationary Line take the Plot Tangent M Degree thefe THEOREM thereof thofe Trapezium Triangle Weft whofe
Beliebte Passagen
Seite 117 - Multiply the given decimal by the number of parts in the next less denomination, and point off as many decimal places as there are in the given decimal.
Seite 105 - In this place I fhall only give you fome few Directions for the Ufe of it in meafuring Lines. Take care that they who carry the Chain deviate not from a ftrait Line ; which you may do by ftanding at your Inftrument, and looking thro...
Seite 81 - RULE. Multiply the length by the breadth, and the product by the depth or...
Seite 31 - Diameter pafllng thro' the other End ; or it is half the Chord of twice the Arch ; fo BF is the Sine of the Arches BA, BD.
Seite 30 - Degrees, each degree into 60 parts called Minutes, and each minute into 60 parts called Seconds.
Seite 106 - Jnjlnunents for the taking of an Angle in the Field. There are but two material Things (towards the meafuring of a Piece of Land) to be done in the Field ; the one is to meafure the Lines (which I have fhewed you how to do by the Chain), and the other to take the Quantity of an Angle included by thefe Lines ; for which there are almoft as many Inftruments as there are Surveyors. Such...
Seite 208 - ... the greatest ; the remainder will be the time of the star's coming to the meridian. If the remainder be greater than 12 hours, the star will come to the meridian after midnight ; but if less than 12 hours, before midnight.
Seite 69 - Rule. Multiply the Length by the Breadth, and the Product is the Area.
Seite 39 - To THEIR DIFFERENCE J SO IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES ; To THE TANGENT OF HALF THEIR DIFFERENCE. Thus the sum of AB and AC (Fig. 25) is to their difference ; as the tangent of half the sum of the angles ACB and ABC. to the tangent of half their difference. Demonstration. Extend CA to G, making AG equal to AB ; then CG is the sum of...
Seite 68 - Number (as half a Crown by half a Crown) which is contrary to the Nature of Multiplication, whofe Operations are only compendious Additions, either of the Multiplicands, or fome Part of it continually to its felf or its Part.