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 3
... ; whereas it is well known to be the method given by that author , and In order to understand the principles of surveying , a used , as well in the preceding , as in the subsequent part of his work . 1 ས ། ཆུ ཕའ ། རྙ ོ --
... ; whereas it is well known to be the method given by that author , and In order to understand the principles of surveying , a used , as well in the preceding , as in the subsequent part of his work . 1 ས ། ཆུ ཕའ ། རྙ ོ --
Seite 46
... preceding exam- ple ; or otherwise thus , Draw the line AB of any length , and draw AC making the angle A≈ 53 ° 8 ′ ; make AC = 480 by a scale of equal parts , and from C draw CB perpendicular to AB , then ABC is the triangle required ...
... preceding exam- ple ; or otherwise thus , Draw the line AB of any length , and draw AC making the angle A≈ 53 ° 8 ′ ; make AC = 480 by a scale of equal parts , and from C draw CB perpendicular to AB , then ABC is the triangle required ...
Seite 47
... angle , To the sine of the angle opposite the other given side . * Add the angle thus found to the given angle , * This is evident from the demonstration of the rule in the preceding case . PLANE TRIGONOMETRY . 47 66.
... angle , To the sine of the angle opposite the other given side . * Add the angle thus found to the given angle , * This is evident from the demonstration of the rule in the preceding case . PLANE TRIGONOMETRY . 47 66.
Seite 55
... preceding demonstration and ( 16. 5 ) , AF : AE :: AG : AB ; hence when the perpendicular falls without the triangle , the base , is to the sum of the sides , as the difference of the sides , is to the sum of the segments of the base ...
... preceding demonstration and ( 16. 5 ) , AF : AE :: AG : AB ; hence when the perpendicular falls without the triangle , the base , is to the sum of the sides , as the difference of the sides , is to the sum of the segments of the base ...
Seite 58
... preceding rules solve all the cases of plane triangles , both right - angled and oblique . There are however other rules , suited to right - angled triangles , which are sometimes more convenient than the general ones . Previous to ...
... preceding rules solve all the cases of plane triangles , both right - angled and oblique . There are however other rules , suited to right - angled triangles , which are sometimes more convenient than the general ones . Previous to ...
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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.