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 SchoolsJ. Richardson, 1817 - 206 σελίδες |
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Σελίδα 45
... the sines of 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 . By Calculation . As sine of the angle C 33 PLANE TRIGONOMETRY . 45.
... the sines of 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 . By Calculation . As sine of the angle C 33 PLANE TRIGONOMETRY . 45.
Σελίδα 74
... 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 . In ...
... 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 . In ...
Σελίδα 75
... feet ; to CE add EB = DA = 5 feet - the height of the quadrant , and it will give BC feet , the required height of the steeple . EXAMPLE 8. Fig . 62 . - 114.13 Wishing to know the height of a tree situated in a bog , at a station D ...
... feet ; to CE add EB = DA = 5 feet - the height of the quadrant , and it will give BC feet , the required height of the steeple . EXAMPLE 8. Fig . 62 . - 114.13 Wishing to know the height of a tree situated in a bog , at a station D ...
Σελίδα 76
... 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 77
... 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 . Construction . Draw ...
... 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 . Construction . Draw ...
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ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column contained decimal degrees DEMONSTRATION departure corresponding diff difference of latitude Dist divide division line draw equal EXAMPLES feet field-notes figures find the angle find the area four-pole chains fourth term given angle given area given bearing given number given ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular quired quotient radius rectangle remainder Required the area right angles right line right-angled triangle ROBERT ADRAIN RULE semicircle semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry
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Σελίδα 2 - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, 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 times therein mentioned...
Σελίδα 35 - 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 44 - 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 53 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 26 - 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 79 - 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 29 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 36 - Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE.
Σελίδα 92 - 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 26 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.