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 26
... side , but makes the angles on each side equal , then those angles ADC and ... sides equal to each other , as A , Fig . 7 . 16. An isosceles triangle has only two ... AC opposite to the K 19. An obtuse angled triangle has one obtuse angle ...
... side , but makes the angles on each side equal , then those angles ADC and ... sides equal to each other , as A , Fig . 7 . 16. An isosceles triangle has only two ... AC opposite to the K 19. An obtuse angled triangle has one obtuse angle ...
Seite 29
... side , the equal dis- tances AC , AD ; from C and D , as centres , with any interval greater than AC or AD , describe two arcs in- tersecting each other in B ; from A to B , draw the line AB , which will be the perpendicular required ...
... side , the equal dis- tances AC , AD ; from C and D , as centres , with any interval greater than AC or AD , describe two arcs in- tersecting each other in B ; from A to B , draw the line AB , which will be the perpendicular required ...
Seite 43
... sides or in the angles ́of a triangle , indicates that they are given ; and ... side of any plane triangle being given , to find the other sides . RULE . As ... AC , and upon AB let fall the perpendiculars CD and FE , which will be PLANE ...
... sides or in the angles ́of a triangle , indicates that they are given ; and ... side of any plane triangle being given , to find the other sides . RULE . As ... AC , and upon AB let fall the perpendiculars CD and FE , which will be PLANE ...
Seite 44
... side AB 98 * ; required the sides AC and BC . By Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A - 32 ° 15 ' ; also make the angle B = 114 ° 24 ' , and produce BC . AC , till ...
... side AB 98 * ; required the sides AC and BC . By Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A - 32 ° 15 ' ; also make the angle B = 114 ° 24 ' , and produce BC . AC , till ...
Seite 45
... side AC . Extend the compasses from 33 ° 21 ′ to 32 ° 15 ′ on the line of sines ; that extent will reach , on the line of num- bers , from 98 to 95 , the side BC . ❤ 2. In the right - angled triangle ABC , are given the hy . pothenuse AC ...
... side AC . Extend the compasses from 33 ° 21 ′ to 32 ° 15 ′ on the line of sines ; that extent will reach , on the line of num- bers , from 98 to 95 , the side BC . ❤ 2. In the right - angled triangle ABC , are given the hy . pothenuse AC ...
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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.