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 Schools |
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Page 99
To find the area of a trapezoid , that is , a trapezium two of whose sides are
parallel but not equal . RULE . Multiply the sum of the parallel sides by their
perpendicular distance , and half the product will be the area . * EXAMPLES . 1.
Required ...
To find the area of a trapezoid , that is , a trapezium two of whose sides are
parallel but not equal . RULE . Multiply the sum of the parallel sides by their
perpendicular distance , and half the product will be the area . * EXAMPLES . 1.
Required ...
Page 157
90 , 500 square perches , and the base AB 40 perches ; it is required to cut off
120 sq . per . towards the angle A , by a line DG running parallel to the side BC .
As the triangle ABC 500 : the triangle ADG 120 40 AB2 AB 40 Ar . Co. 57.30103 ...
90 , 500 square perches , and the base AB 40 perches ; it is required to cut off
120 sq . per . towards the angle A , by a line DG running parallel to the side BC .
As the triangle ABC 500 : the triangle ADG 120 40 AB2 AB 40 Ar . Co. 57.30103 ...
Page 162
93 , it is required to cut off the same area by a line DC parallel to AB . From GA
462.3 Subtract the 4th term 291.105 171.495 = 13.08 ch.5GD 21.50 = GA * 8.42
ch . - AD Fig . 94 . 2. Given the bearings of three adjacent sides of a tract of land ...
93 , it is required to cut off the same area by a line DC parallel to AB . From GA
462.3 Subtract the 4th term 291.105 171.495 = 13.08 ch.5GD 21.50 = GA * 8.42
ch . - AD Fig . 94 . 2. Given the bearings of three adjacent sides of a tract of land ...
Page 163
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 Schools John Gummere. and let DC
parallel ...
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 Schools John Gummere. and let DC
parallel ...
Page 181
square root of the remainder will give GE , and GE less GÀ will be the distance
AE . * Note . If the division line is to run parallel to CD , then HI must also be
supposed to be drawn parallel to CD and the manner of working varied
accordingly .
square root of the remainder will give GE , and GE less GÀ will be the distance
AE . * Note . If the division line is to run parallel to CD , then HI must also be
supposed to be drawn parallel to CD and the manner of working varied
accordingly .
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Common terms and phrases
ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Secant Co-sine Co-tang column Construction contained corresponding Courses decimal DegDegDeg DEMONSTRATION describe difference Dist distance divide division draw east equal EXAMPLES feet field figures find the area given given angle given area given side greater half hand height join latitude and departure length less logarithm measured meeting meridian distance Note Off-sets opposite parallel perches perpendicular preceding PROBLEM radius rectangle remainder Required the area right angled triangle right line root RULE running scale Secant side AC Sine square station subtract survey taken Tang Tangent tract of land triangle triangle ABC twice
Popular passages
Page 2 - 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." And also to the act, entitled " An Act supplementary to an Act, 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 time therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and...
Page 97 - 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.
Page 43 - 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.
Page 34 - 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.
Page 2 - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Page 85 - 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.
Page 25 - 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.
Page 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 91 - PROBLEM I. To find the area of a parallelogram; whether it be a square, a rectangle, a rhombus, or a rhomboides. RULE.* Multiply the length by the perpendicular height, and the product will be the area.
Page 96 - If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC (Fig.
Bibliographic information
| Title | 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 Schools |
| Author | John Gummere |
| Publisher | Kimber & Richardson; W. Brown, printer, 1814 |
| Original from | the University of Michigan |
| Digitized | 24 May 2007 |
| Length | 346 pages |
| Export Citation | BiBTeX EndNote RefMan |