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 páginas |
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Página 86
... areas of triangles , quadri- laterals , circles , and ellipses ; also the method of protract- ing a survey and finding its area by dividing it into tri- angles and trapeziums . PROBLEM I. To find the Area of a Parallelogram , whether it ...
... areas of triangles , quadri- laterals , circles , and ellipses ; also the method of protract- ing a survey and finding its area by dividing it into tri- angles and trapeziums . PROBLEM I. To find the Area of a Parallelogram , whether it ...
Página 88
... area of a field , in the form of a rhom- boides , whose length AB is 42.5 perches , and perpendi- cular breadth CD ... find the area of a triangle when the base and per- pendicular height are given . RULE . Multiply the base by the ...
... area of a field , in the form of a rhom- boides , whose length AB is 42.5 perches , and perpendi- cular breadth CD ... find the area of a triangle when the base and per- pendicular height are given . RULE . Multiply the base by the ...
Página 89
... area . Fig . 49 . Ch . 12.38 6.78 9904 8666 7428 2 ) 83.9364 10 ) 41.9682 Area , 4A . OR . 31P . 4.19682 4 .78728 40 31.49120 2. Required the area of a triangular field , one side of ... find the area of a triangle M MEASURING 89 LAND LAND .
... area . Fig . 49 . Ch . 12.38 6.78 9904 8666 7428 2 ) 83.9364 10 ) 41.9682 Area , 4A . OR . 31P . 4.19682 4 .78728 40 31.49120 2. Required the area of a triangular field , one side of ... find the area of a triangle M MEASURING 89 LAND LAND .
Página 90
... find the area of a triangle when two sides and their included angle are given . RULE . As radius , Is to the sine of the included angle ; So is the rectangle of the given sides , To double the area * EXAMPLES . 1. In a triangular lot of ...
... find the area of a triangle when two sides and their included angle are given . RULE . As radius , Is to the sine of the included angle ; So is the rectangle of the given sides , To double the area * EXAMPLES . 1. In a triangular lot of ...
Página 91
... area of a triangle two sides of which measure 15.36 chains and 11.46 chains respectively , and their included angle ... find the area of a triangle when one side and the two adjacent angles are given . RULE . Subtract the sum of the two ...
... area of a triangle two sides of which measure 15.36 chains and 11.46 chains respectively , and their included angle ... find the area of a triangle when one side and the two adjacent angles are given . RULE . Subtract the sum of the two ...
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Términos y frases comunes
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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Página 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...
Página 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...
Página 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.
Página 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.
Página 52 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 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.
Página 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.
Página 29 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 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.
Página 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.