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 Schools |
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Page 25
... angle is the inclination of two straight lines to one another , which meet together , but are not in the same ... angle is ex- pressed by three letters , whereof the middle letter shows the angular point , and the other two , the lines ...
... angle is the inclination of two straight lines to one another , which meet together , but are not in the same ... angle is ex- pressed by three letters , whereof the middle letter shows the angular point , and the other two , the lines ...
Page 26
... angle depends on the incli- nation that the lines which form it have to each other , and not on the length of those lines . Thus the angle DBE is greater than the angle ABC , Fig . 3 . 9. When a straight line CD stands on another ...
... angle depends on the incli- nation that the lines which form it have to each other , and not on the length of those lines . Thus the angle DBE is greater than the angle ABC , Fig . 3 . 9. When a straight line CD stands on another ...
Page 27
... angle , as C , Fig . 10 . 20. An acute angled triangle has all its angles acute , as ABC , Fig . 6 . 21. Acute and obtuse angled triangles are called oblique angled triangles . 22. Any plane figure bounded by four right lines , is ...
... angle , as C , Fig . 10 . 20. An acute angled triangle has all its angles acute , as ABC , Fig . 6 . 21. Acute and obtuse angled triangles are called oblique angled triangles . 22. Any plane figure bounded by four right lines , is ...
Page 28
... angles , as well as sides , are all equal . 33. A circle is a plane figure , bounded by one curve line ADEB , called the circumference or periphery , every part of which is equally distant from a certain point- C within the circle , and ...
... angles , as well as sides , are all equal . 33. A circle is a plane figure , bounded by one curve line ADEB , called the circumference or periphery , every part of which is equally distant from a certain point- C within the circle , and ...
Page 30
... angle equal to a given angle A , Fig . 23 . With the centre A and any distance A E , describe the arc DE , and with the same distance and centre B de- scribe the arc FG ; make ... angle BAC be equal to the angle A. 30 GEOMETRICAL PROBLEMS .
... angle equal to a given angle A , Fig . 23 . With the centre A and any distance A E , describe the arc DE , and with the same distance and centre B de- scribe the arc FG ; make ... angle BAC be equal to the angle A. 30 GEOMETRICAL PROBLEMS .
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A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere No preview available - 2016 |
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Page 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...
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.
Page 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.
Page 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 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.
Page 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.