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 30
... half the line AB , and with one foot in A , describe the arc CFD ; with the same opening , and one foot in B , describe the arc CGD , meeting the first arc in C and D ; from C to D draw the right line CD , cutting A B in E , which will ...
... half the line AB , and with one foot in A , describe the arc CFD ; with the same opening , and one foot in B , describe the arc CGD , meeting the first arc in C and D ; from C to D draw the right line CD , cutting A B in E , which will ...
Página 32
... half DE , describe two arcs cutting each other in F ; from A through F draw the line AG , and it will bisect the angle BAC . PROBLEM VIII . To make a triangle of any three right lines D , E and F , of which any two together must be ...
... half DE , describe two arcs cutting each other in F ; from A through F draw the line AG , and it will bisect the angle BAC . PROBLEM VIII . To make a triangle of any three right lines D , E and F , of which any two together must be ...
Página 41
... half the length of the primary divisions . The primary divisions on the second part of the scale , are estimated a cording to the value set upon the unit on the left hand of the scale : If the first 1 be considered as a unit , then the ...
... half the length of the primary divisions . The primary divisions on the second part of the scale , are estimated a cording to the value set upon the unit on the left hand of the scale : If the first 1 be considered as a unit , then the ...
Página 53
... half the sum of the two unknown angles . To the tangent of half their difference . * This half difference of the two unknown angles , added to their half sum , will give the angle opposite the greater of the two given sides , and being ...
... half the sum of the two unknown angles . To the tangent of half their difference . * This half difference of the two unknown angles , added to their half sum , will give the angle opposite the greater of the two given sides , and being ...
Página 54
... Half sum do . 65 54 As the sum of the sids AB , AC , 218 2.33846 Is to their difference , 38 1.57978 So is the tang . of half sum of angl . B & C , 65 ° 54 ' 10.34938 11.92916 To tang . of half their difference , 21 ° 17 ' 9.59070 Half ...
... Half sum do . 65 54 As the sum of the sids AB , AC , 218 2.33846 Is to their difference , 38 1.57978 So is the tang . of half sum of angl . B & C , 65 ° 54 ' 10.34938 11.92916 To tang . of half their difference , 21 ° 17 ' 9.59070 Half ...
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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.