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 σελίδες |
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Σελίδα 44
... their opposite angles . This 98 may express so many feet , or yards , & c . , and the other sides will be of the same denomination as the given side . ? By Calculation . As sine of the angle C 44 PLANE TRIGONOMETRY .
... their opposite angles . This 98 may express so many feet , or yards , & c . , and the other sides will be of the same denomination as the given side . ? By Calculation . As sine of the angle C 44 PLANE TRIGONOMETRY .
Σελίδα 72
... feet in a right line from its base , and then took the angle of elevation * of the top , which I found to be 47 ° 30 ' , the centre of the quadrant being 5 feet above the ground : required the height of the steeple . = Calculation ...
... feet in a right line from its base , and then took the angle of elevation * of the top , which I found to be 47 ° 30 ' , the centre of the quadrant being 5 feet above the ground : required the height of the steeple . = Calculation ...
Σελίδα 73
... feet in a direct line from the tree , and at A , took the angle of elevation BAC26 ° 30 ′ . Required the height of the tree . Calculation . 1. Because the exterior angle of a triangle is equal to the sum of the two interior and opposite ...
... feet in a direct line from the tree , and at A , took the angle of elevation BAC26 ° 30 ′ . Required the height of the tree . Calculation . 1. Because the exterior angle of a triangle is equal to the sum of the two interior and opposite ...
Σελίδα 74
... feet , and then took the angle ABD = 41 ° ; going on in the same direction 60 feet farther to C , I took the angle ACD = 23 ° 45 ' ; what was the height of the obelisk ? Calculation . 1. In the triangle BCD , we have given the angle BCD ...
... feet , and then took the angle ABD = 41 ° ; going on in the same direction 60 feet farther to C , I took the angle ACD = 23 ° 45 ' ; what was the height of the obelisk ? Calculation . 1. In the triangle BCD , we have given the angle BCD ...
Σελίδα 75
... feet , standing on a horizontal plane , was broken by a blast of wind , and the extremity of the top part struck the ground at the distance of 34 feet from the bottom of the pole : required the length of each part . Draw AB ...
... feet , standing on a horizontal plane , was broken by a blast of wind , and the extremity of the top part struck the ground at the distance of 34 feet from the bottom of the pole : required the length of each part . Draw AB ...
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Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Σελίδα 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.
Σελίδα 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.