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 SchoolsKimber & Richardson, 1814 - 346 Seiten |
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Seite 7
... areas of triangles ... area by dividing it into triangles and trapeziums SECT . II . Containing three different rules for finding the areas of right lined figures gene- rally , when the bearings and distances of the boundaries are given ...
... areas of triangles ... area by dividing it into triangles and trapeziums SECT . II . Containing three different rules for finding the areas of right lined figures gene- rally , when the bearings and distances of the boundaries are given ...
Seite 85
... area of a field , in the form of a rhom- boides , whose length AB is 42.5 perches , and perpendi- cular breadth CD ... given . RULE . per Multiply the base by the perpendicular height , and half the product will be the area ...
... area of a field , in the form of a rhom- boides , whose length AB is 42.5 perches , and perpendi- cular breadth CD ... given . RULE . per Multiply the base by the perpendicular height , and half the product will be the area ...
Seite 87
... area of a triangle when two sides and their included angle are given . RULE . As radius , Is to the sine of the included angle ; So is the rectangle of the given sides , To double the area . * EXAMPLES . 4. In a triangular lot of ground ...
... area of a triangle when two sides and their included angle are given . RULE . As radius , Is to the sine of the included angle ; So is the rectangle of the given sides , To double the area . * EXAMPLES . 4. In a triangular lot of ground ...
Seite 88
... area of a triangle two sides of which measure 15.36 chains and 11.46 chains respectively , and their included angle ... given . RULE . Subtract the sum of the two given angles from 180 ° , the remainder will be the angle opposite the ...
... area of a triangle two sides of which measure 15.36 chains and 11.46 chains respectively , and their included angle ... given . RULE . Subtract the sum of the two given angles from 180 ° , the remainder will be the angle opposite the ...
Seite 89
... area . Fig . 47 . The angle ACB = 1808 the sum of the angles A and B , = 70 ... area in perches 4078 3.61041 40 ) 2039 4 ) 50 ... 39 12A . 2R . 39P . 2. One side ... given . RULE : From half the sum of the three sides subtract each side ...
... area . Fig . 47 . The angle ACB = 1808 the sum of the angles A and B , = 70 ... area in perches 4078 3.61041 40 ) 2039 4 ) 50 ... 39 12A . 2R . 39P . 2. One side ... given . RULE : From half the sum of the three sides subtract each side ...
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A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere Keine Leseprobe verfügbar - 2016 |
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Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Seite 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.
Seite 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.