A Treatise on Surveying, Containing the Theory and Practice: To which is Prefixed a Perspicuous System of Plane Trigonometry. The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. Particularly Adapted to the Use of SchoolsJ. Richardson, 1817 - 206 σελίδες |
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Σελίδα 83
... the com- mencement of the succeeding chain . The bearing or course of a line is its situation in re- spect to the north and south points of the horizon . A line running due north and south is called a MEASURING LAND . 83.
... the com- mencement of the succeeding chain . The bearing or course of a line is its situation in re- spect to the north and south points of the horizon . A line running due north and south is called a MEASURING LAND . 83.
Σελίδα 84
... bearing of a line is expressed by the angle con- tained between it , and a meridian line passing through one of its ... bearing of a line taken at one end , is the reverse of the bearing of the same line taken at the other end : * thus ...
... bearing of a line is expressed by the angle con- tained between it , and a meridian line passing through one of its ... bearing of a line taken at one end , is the reverse of the bearing of the same line taken at the other end : * thus ...
Σελίδα 85
... bearing of one of the lines is be- tween the north and east and the other between the north and west , or when one is between the south and east and the other between the south and west , add them toge- ther ; the sum will be the angle ...
... bearing of one of the lines is be- tween the north and east and the other between the north and west , or when one is between the south and east and the other between the south and west , add them toge- ther ; the sum will be the angle ...
Σελίδα 96
... bearings and distances , viz . AB , N. 24 ° E. dist . 6.90Ch . BC , N. 64 ° 40 ′ E. CD , S. 35 ° 20 ′ E. dist . 11.50Ch . and DA , S. 88 ° W .: required the area . 71 . Fig . DEMONSTRATION . Let AB , CD , Fig . 71. be the given sides of ...
... bearings and distances , viz . AB , N. 24 ° E. dist . 6.90Ch . BC , N. 64 ° 40 ′ E. CD , S. 35 ° 20 ′ E. dist . 11.50Ch . and DA , S. 88 ° W .: required the area . 71 . Fig . DEMONSTRATION . Let AB , CD , Fig . 71. be the given sides of ...
Σελίδα 97
... bearings , the angles may be found as follows ; AD , N. 88o E. AB , N. 24 E. CB , S. 64 ° 40 ′ W. CD , S. 35 20 E. BCD 100 ° 00 BAD = 64 ° BA , S. 24 ° 00 ′ W. 180 00 204 00 BC , N. 64 40 E. ABC = 139 20 Make AB angle DAB = = DC , N. 35 ...
... bearings , the angles may be found as follows ; AD , N. 88o E. AB , N. 24 E. CB , S. 64 ° 40 ′ W. CD , S. 35 20 E. BCD 100 ° 00 BAD = 64 ° BA , S. 24 ° 00 ′ W. 180 00 204 00 BC , N. 64 40 E. ABC = 139 20 Make AB angle DAB = = DC , N. 35 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column contained decimal degrees DEMONSTRATION departure corresponding diff difference of latitude Dist divide division line draw equal EXAMPLES feet field-notes figures find the angle find the area four-pole chains fourth term given angle given area given bearing given number given ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular quired quotient radius rectangle remainder Required the area right angles right line right-angled triangle ROBERT ADRAIN RULE semicircle semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry
Δημοφιλή αποσπάσματα
Σελίδα 2 - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, entitled, " An act for the encouragement of learning by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...
Σελίδα 35 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 44 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Σελίδα 53 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 26 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 79 - A maypole, whose top was broken off by a blast of wind, struck the ground at 15 feet distance from the foot of the pole: what was the height of the whole maypole, supposing the broken piece to measure 39 feet in length ? Ans.
Σελίδα 29 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 36 - Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE.
Σελίδα 92 - To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately.
Σελίδα 26 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.