The Young Surveyor's Guide: Or, A New Introduction to the Whole Art of Surveying Land: Both by the Chain & All Instruments Now in Use. Now First Publish'd from an Original M.s. to which is Added, All the Useful Geometrical Definitions, Axioms, Problems & 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 ... The Tables of Artificial Numbers, Sines and Tangents ... All which is Very Much Improved & CorJ. Knapton, 1716 - 375 σελίδες |
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Σελίδα 19
... Base oppofite to the equal Legs , are equal . = Let the Triangle A CB be fuppofed two Triangles , and the Situation of one con vers to that of the other , as bca : Becaufe in the two Triangles ACB and bca , the fide AC is the fide b c ...
... Base oppofite to the equal Legs , are equal . = Let the Triangle A CB be fuppofed two Triangles , and the Situation of one con vers to that of the other , as bca : Becaufe in the two Triangles ACB and bca , the fide AC is the fide b c ...
Σελίδα 23
... Base ac , then the < a will < dba ( by the 6th Prop . ) and < c , = < ebc ( by the 6th . Prop . ) butd ba - abc + < cbe Angles ( by the 4th Prop . ) . < a abctwo right Q. E. D. to two right < c + < CORROL ARTI . Hence by Having one of ...
... Base ac , then the < a will < dba ( by the 6th Prop . ) and < c , = < ebc ( by the 6th . Prop . ) butd ba - abc + < cbe Angles ( by the 4th Prop . ) . < a abctwo right Q. E. D. to two right < c + < CORROL ARTI . Hence by Having one of ...
Σελίδα 26
... Base , and being between the fame Parallels , are equal . For AB = EC & c . ( by the 8th ) BAFA ( ECG by the 1ft ) from both of which take away the common △ DEF , and there will remain the Trapezium AEDB = Trapezium DCFG , to each of ...
... Base , and being between the fame Parallels , are equal . For AB = EC & c . ( by the 8th ) BAFA ( ECG by the 1ft ) from both of which take away the common △ DEF , and there will remain the Trapezium AEDB = Trapezium DCFG , to each of ...
Σελίδα 33
... Base ) being made the Radius , P ( the Perpendicular ) is the Tangent of the Augle at a , the Center of the Circle , which is oppofite to P , and the Hypothenufe is the S cant of the fame Angle . In the fecond of which , where P is made ...
... Base ) being made the Radius , P ( the Perpendicular ) is the Tangent of the Augle at a , the Center of the Circle , which is oppofite to P , and the Hypothenufe is the S cant of the fame Angle . In the fecond of which , where P is made ...
Σελίδα 49
... to the Line KL16 Chains 80Lin . 3.225309 Sois theSineComplement of K.58 9.724210 . to part of the Base KN 8 Cha . 12.949519 90 Lin . D But But if you have occafion to measure the whole Hill The Young Surveyor's Guide . 49.
... to the Line KL16 Chains 80Lin . 3.225309 Sois theSineComplement of K.58 9.724210 . to part of the Base KN 8 Cha . 12.949519 90 Lin . D But But if you have occafion to measure the whole Hill The Young Surveyor's Guide . 49.
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD Acres alfo Bafe Baſe becauſe beft Breadth Cafe Center Chains and Links Circle Co-fine Sine Co-Tang Co-fine Tangent Co-Tang Co-Tang Tangent 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 Field Field-Book Figure fome Foot diftance ftand fuch fuppofe fure given Ground Hedge heighth Inches Index Inftrument interfect laft leffer left fide Length Line BC Line CD Mark meaſure muft multiply muſt 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 theſe thofe Trapezium Triangle Trigonometry uſe Wafbed Weft whofe
Δημοφιλή αποσπάσματα
Σελίδα 24 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 30 - Degrees, each degree into 60 parts called Minutes, and each minute into 60 parts called Seconds.
Σελίδα 189 - But if it be large, as the Map of a County, or the like, the only way is to compafs in the Plot firft with one great Square :, and afterwards to divide that into as many little Squares as you fhall fee convenient. Alfo make the...
Σελίδα 119 - 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.
Σελίδα 108 - ... Quantity , of an Angle included by thefe Lines ; for which there are almoft as many Inftruments as there are Surveyors. Such among the reft as have got the greateft Efteem in the World, are the plain Table for fmall Inclofures, the Semicircle for champaign Grounds, the Circumferentor, the Theodolite, &c.
Σελίδα 214 - ... 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.
Σελίδα 133 - The distances from A to B, from В to C, from С to D, and from D to E are 2-15, 0-74, 2-4, and 0-96 miles.
Σελίδα 109 - Table. Place the Table (already fitted for the Work, with a Sheet of Paper upon it) as nigh to the Angle A as you can, the North End of the Needle hanging directly over the Flower-de-luce.^ then make a Mark upon the Sheet of Paper at any convenient Place for the Angle A, and lay the Edge of the Index to the Mark, turning it about...
Σελίδα 186 - Cyphers ; that Number thus increafed divide by the given Side, the Quotient will be the other Side. EXAMPLE. It is required...
Σελίδα 69 - Feet high, the Number of Stones (or Cubick Feet) will be equal to the Number of Lineal Feet in the length of that Wai]. Secondly, If the Wall ihould be of the fame length and heighth one Foot as bef re, but the thicknefs 2, 3, 4' ?i &c- Feet (гфла of one Foot) ; then the Number of Stones (or Cubick Feet) will cccrdinglyhe twice,thrice,four-timesfivelimes &c.