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 26
... as ABC , Fig . 6 . 18. A right angled triangle has one right angle , as ABC , Fig . 9 : in which the side AC opposite to the K 19. An obtuse angled triangle has one obtuse angle right angle is called the hypothenuse . 26 GEOMETRY .
... as ABC , Fig . 6 . 18. A right angled triangle has one right angle , as ABC , Fig . 9 : in which the side AC opposite to the K 19. An obtuse angled triangle has one obtuse angle right angle is called the hypothenuse . 26 GEOMETRY .
Σελίδα 27
... opposite sides are paral- lel , is called a parallelogram , as D , Fig . 11 . 24. A parallelogram , whose angles are all right , is called a rectangle , as E , Fig . 12 . 25. A parallelogram whose sides are all equal , and angles right ...
... opposite sides are paral- lel , is called a parallelogram , as D , Fig . 11 . 24. A parallelogram , whose angles are all right , is called a rectangle , as E , Fig . 12 . 25. A parallelogram whose sides are all equal , and angles right ...
Σελίδα 41
... opposite 10 on the line of numbers . Tangents . - The line of tangents , marked Tan . be- gins at the left hand , and is numbered 1 , 2 , 3 , & c . to 10 , then 20 , 30 , 40 , 45 , where there is a brass pin , just under 90 in the line ...
... opposite 10 on the line of numbers . Tangents . - The line of tangents , marked Tan . be- gins at the left hand , and is numbered 1 , 2 , 3 , & c . to 10 , then 20 , 30 , 40 , 45 , where there is a brass pin , just under 90 in the line ...
Σελίδα 42
... opposite an- gles will be equal : thus AEC BED and AED = CEB . Fig . 36 . 4. The sum of the three angles of a plane triangle is equal to two right angles , or 180 ° . 5. If the sum of two angles of a triangle be subtract- ed from 180 ...
... opposite an- gles will be equal : thus AEC BED and AED = CEB . Fig . 36 . 4. The sum of the three angles of a plane triangle is equal to two right angles , or 180 ° . 5. If the sum of two angles of a triangle be subtract- ed from 180 ...
Σελίδα 43
... opposite the given side , Is to the sine of either of the other given angles , So is the given side , To the side opposite this other angle . * DEMONSTRATION . Let A BC , Fig . 40 , be any plane triangle , take B F Note . 1. The ...
... opposite the given side , Is to the sine of either of the other given angles , So is the given side , To the side opposite this other angle . * DEMONSTRATION . Let A BC , Fig . 40 , be any plane triangle , take B F Note . 1. The ...
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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.