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, Particularlry Adapted to the Use of SchoolsJohn Richardson, 1817 - 206 Seiten |
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Seite 7
... triangles and trapeziums SECT . II . Containing three different rules for finding the areas of right - lined figures generally , when the bear- ings and distances of the boundaries are given SECT . III . Containing Off - setts and ...
... triangles and trapeziums SECT . II . Containing three different rules for finding the areas of right - lined figures generally , when the bear- ings and distances of the boundaries are given SECT . III . Containing Off - setts and ...
Seite 27
... triangle is a figure bounded by three straight lines , as ABC , Fig . 6 . 15. An equilateral triangle has its three sides equal to each other , as A , Fig . 7 . 16. An isosceles triangle has only two of its sides equal , as B , Fig . 8 ...
... triangle is a figure bounded by three straight lines , as ABC , Fig . 6 . 15. An equilateral triangle has its three sides equal to each other , as A , Fig . 7 . 16. An isosceles triangle has only two of its sides equal , as B , Fig . 8 ...
Seite 28
... triangle has one obtuse 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 ...
... triangle has one obtuse 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 ...
Seite 32
... triangle of any three right lines D , E and F , of which any two together must be greater than the third , Fig . 25 . Make AB equal to D ; with the centre A and distance equal to E , describe an arc , and with the centre B and distance ...
... triangle of any three right lines D , E and F , of which any two together must be greater than the third , Fig . 25 . Make AB equal to D ; with the centre A and distance equal to E , describe an arc , and with the centre B and distance ...
Seite 35
... triangle , except the three an- gles , are given , the others are determined . 2. The periphery of every circle is supposed to be divided into 360 equal parts , called degrees ; each degree into 60 equal parts , called minutes ; and ...
... triangle , except the three an- gles , are given , the others are determined . 2. The periphery of every circle is supposed to be divided into 360 equal parts , called degrees ; each degree into 60 equal parts , called minutes ; and ...
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ABCD ABFD acres adjacent adjacent angles angle opposite angles ABC base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column decimal DegDeg Dist DEMONSTRATION diff difference of latitude divide division line draw east equal EXAMPLES feet field-notes figures find the angle find the area four-pole chains fourth term given angle given area given bearing given number given side John Gummere LatDegDeg LatDegDegDeg Dist LatDegDegDegDeg Dist latitude and departure length logarithm M.
M. Sine measured meridian distance natural number off-sets parallel parallelogram perches PROBLEM quired quotient radius rectangle remainder Required the area right angles right line right-angled triangle ROBERT ADRAIN RULE semiperimeter side AB side AC square root station stationary line subtract tance Tang Tangent tract of land trapezium triangle ABC trigonometry
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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 2 - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, 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 times therein mentioned...
Seite 35 - 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 44 - 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 52 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 26 - 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 79 - 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 29 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 86 - 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 36 - Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE.