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 35
... sine of the arc AB or BD , Fig . 31 . 7. The cosine of an arc , is that part of the diameter which is intercepted between the sine and the centre : thus CF is the cosine of the arc AB , and is equal to BI , the sine of its complement HB ...
... sine of the arc AB or BD , Fig . 31 . 7. The cosine of an arc , is that part of the diameter which is intercepted between the sine and the centre : thus CF is the cosine of the arc AB , and is equal to BI , the sine of its complement HB ...
Seite 36
... sine , cosine , & c . of an angle is the same as the sine , cosine , & c . of the arc that measures the an- gle . PROBLEM I To construct the lines of chords , sines , tangents , and secants , to any radius . Fig . 32 . Describe a ...
... sine , cosine , & c . of an angle is the same as the sine , cosine , & c . of the arc that measures the an- gle . PROBLEM I To construct the lines of chords , sines , tangents , and secants , to any radius . Fig . 32 . Describe a ...
Seite 38
... sine , tangent , & c . to every degree and minute of the quadrant , the ra- dius being 10000000000 , and consequently its logarithm 10 . Let the radius CB , Fig . 32 , be supposed to consist of 10000000000 equal parts as above , and let ...
... sine , tangent , & c . to every degree and minute of the quadrant , the ra- dius being 10000000000 , and consequently its logarithm 10 . Let the radius CB , Fig . 32 , be supposed to consist of 10000000000 equal parts as above , and let ...
Seite 39
... sine , tangent , & c . and against the minutes , is the sine , tangent & c . required . If the degrees are more than 45 , look for them at the bottom of the table , and for the minutes , in the right hand column ; then in the co- lumn ...
... sine , tangent , & c . and against the minutes , is the sine , tangent & c . required . If the degrees are more than 45 , look for them at the bottom of the table , and for the minutes , in the right hand column ; then in the co- lumn ...
Seite 41
... sine of 90 ° is equal to the tangent of 45 ° . From 45 it is numbered to- wards the left hand 50 , 60 , 70 , 80 , & c . The tangents of arcs above 45 ° are therefore counted backward on the line , and are found at the same points of the ...
... sine of 90 ° is equal to the tangent of 45 ° . From 45 it is numbered to- wards the left hand 50 , 60 , 70 , 80 , & c . The tangents of arcs above 45 ° are therefore counted backward on the line , and are found at the same points of the ...
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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.