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 29
... meeting the first are in C and D ; from C to D draw the right line CD , cutting AB in E , which will be equally distant from A and B. PROBLEM II . At a given point A , in a right line EF , to erect a perpendicular , Fig . 19 . From the ...
... meeting the first are in C and D ; from C to D draw the right line CD , cutting AB in E , which will be equally distant from A and B. PROBLEM II . At a given point A , in a right line EF , to erect a perpendicular , Fig . 19 . From the ...
Σελίδα 36
... meeting CD in 10 , 20 , 30 , & c . and CD will be a line of sines . From the centre C , through the divisions of the arc BD , draw lines meeting BE , in 10 , 20 , 30 , & c . and BE will be a line of tangents . With one foot of the ...
... meeting CD in 10 , 20 , 30 , & c . and CD will be a line of sines . From the centre C , through the divisions of the arc BD , draw lines meeting BE , in 10 , 20 , 30 , & c . and BE will be a line of tangents . With one foot of the ...
Σελίδα 52
... meeting AB produced in E and F , and BC in D ; join DA , EC , and FC , and draw FG parallel to BC , meeting EC in G. The angle EAC ( 32. 1. ) is equal to the sum of the unknown angles ABC , ACB , and the angle EFC at the circumference ...
... meeting AB produced in E and F , and BC in D ; join DA , EC , and FC , and draw FG parallel to BC , meeting EC in G. The angle EAC ( 32. 1. ) is equal to the sum of the unknown angles ABC , ACB , and the angle EFC at the circumference ...
Σελίδα 55
... meeting AC produced , in G ́and E , and AB in F. Then it is evident that AE is equal to the sum of the sides AC , BC , and that AG is equal to their difference ; also because CD bisects FB ( 3. 3 ) , it is plain that AF is the ...
... meeting AC produced , in G ́and E , and AB in F. Then it is evident that AE is equal to the sum of the sides AC , BC , and that AG is equal to their difference ; also because CD bisects FB ( 3. 3 ) , it is plain that AF is the ...
Σελίδα 59
... meeting AC produced in E ; then DE is the tangent , and AE the se- cant of the angle A , to the radius AD . But because of the similar triangles ADC , ABC , AD : DE :: AB : BC ; that is , the tabular radius : tabular tangent :: AB : AC ...
... meeting AC produced in E ; then DE is the tangent , and AE the se- cant of the angle A , to the radius AD . But because of the similar triangles ADC , ABC , AD : DE :: AB : BC ; that is , the tabular radius : tabular tangent :: AB : AC ...
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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.