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 6
... notes at the bottom of the page . Each rule is exemplified by one wrought example ; and the most of them by several unwrought examples , with the answers annexed , In the laying out and dividing of land , which forms the most difficult ...
... notes at the bottom of the page . Each rule is exemplified by one wrought example ; and the most of them by several unwrought examples , with the answers annexed , In the laying out and dividing of land , which forms the most difficult ...
Página 17
... Note . When the index is affirmative , it is not ne- cessary to place any sign before it ; but when it is nega- tive , the sign must not be omitted . EXAMPLES . 1. Required the continued product of 349.17 , 25.43 , .93521 and .00576 ...
... Note . When the index is affirmative , it is not ne- cessary to place any sign before it ; but when it is nega- tive , the sign must not be omitted . EXAMPLES . 1. Required the continued product of 349.17 , 25.43 , .93521 and .00576 ...
Página 19
... Note . When the devisor exceeds the dividend , the question must be wrought by the rule given in the next case . EXAMPLES . 1. Required the quotient of 3450 divided by 23 . Logarithm of 3450 is 3.53782 do 23 is 1.36173 . Quotient 150 ...
... Note . When the devisor exceeds the dividend , the question must be wrought by the rule given in the next case . EXAMPLES . 1. Required the quotient of 3450 divided by 23 . Logarithm of 3450 is 3.53782 do 23 is 1.36173 . Quotient 150 ...
Página 21
... of the given number by the index of the power , viz . by 2 for the square , by 3 for the cube , & c . and the product will be the logarithm of Note . When the index of the logarithm is negative the power . LOGARITHMS . 21.
... of the given number by the index of the power , viz . by 2 for the square , by 3 for the cube , & c . and the product will be the logarithm of Note . When the index of the logarithm is negative the power . LOGARITHMS . 21.
Página 22
... Note . When the index of the logarithm is negative , if there be any to carry from the decimal part , instead of adding it to the product of the index and multiplier , subtract it , and the remainder will be the index of the logarithm ...
... Note . When the index of the logarithm is negative , if there be any to carry from the decimal part , instead of adding it to the product of the index and multiplier , subtract it , and the remainder will be the index of the logarithm ...
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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.