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 28
... radius of a circle is a straight line drawn from the centre to the circumference , as CB , Fig . 17 . 35. The diameter of a circle is a straight line drawn through the centre , and terminated both ways by the cir- cumference , as AE ...
... radius of a circle is a straight line drawn from the centre to the circumference , as CB , Fig . 17 . 35. The diameter of a circle is a straight line drawn through the centre , and terminated both ways by the cir- cumference , as AE ...
Seite 36
... radius . Fig . 32 . Describe a semicircle with any convenient radius CB ; from the centre C draw CD perpendicular to AB and produce it to F ; draw BE parallel to CF and join AD . Divide the arc AD into nine equal parts as A , 10 ; 10 ...
... radius . Fig . 32 . Describe a semicircle with any convenient radius CB ; from the centre C draw CD perpendicular to AB and produce it to F ; draw BE parallel to CF and join AD . Divide the arc AD into nine equal parts as A , 10 ; 10 ...
Seite 37
... radius equal to 60 degrees , taken from a scale of chords , describe an arc , cutting AB in m ' ; from the same scale of chords , take 38 de- grees and apply it to the arc from m ton , and from A through n draw the line AC , then will ...
... radius equal to 60 degrees , taken from a scale of chords , describe an arc , cutting AB in m ' ; from the same scale of chords , take 38 de- grees and apply it to the arc from m ton , and from A through n draw the line AC , then will ...
Seite 38
... radius CB , Fig . 32 , be supposed to consist of 10000000000 equal parts as above , and let the qua- drant DB be divided into 5400 equal arcs , each of these will therefore contain 1 ' ; and if from the several points of division in the ...
... radius CB , Fig . 32 , be supposed to consist of 10000000000 equal parts as above , and let the qua- drant DB be divided into 5400 equal arcs , each of these will therefore contain 1 ' ; and if from the several points of division in the ...
Seite 44
... radius . EXAMPLES . 1. In the triangle ABC , there are given the angle A 32 ° 15 ' , the angle B 114 ° 24 ' , and consequently the an- gle C33 ° 21 ' , and the side AB 98 * ; required the sides AC and BC . By Construction , Fig . 41 ...
... radius . EXAMPLES . 1. In the triangle ABC , there are given the angle A 32 ° 15 ' , the angle B 114 ° 24 ' , and consequently the an- gle C33 ° 21 ' , and the side AB 98 * ; required the sides AC and BC . By Construction , Fig . 41 ...
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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.