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 SchoolsJ. Richardson, 1817 - 206 páginas |
Dentro del libro
Resultados 1-5 de 15
Página 9
... quotient of the two corresponding terms of the latter . Thus , 0. 1. 2. 3. 4. 5. 6. 7. & c . arith . series , or indices . 1. 2. 4. 8. 16. 32. 64 . Now 235 . And 4 x 8 -32 . 128. & c . geom , series . also 7-34 . and 128 8 = 16 ...
... quotient of the two corresponding terms of the latter . Thus , 0. 1. 2. 3. 4. 5. 6. 7. & c . arith . series , or indices . 1. 2. 4. 8. 16. 32. 64 . Now 235 . And 4 x 8 -32 . 128. & c . geom , series . also 7-34 . and 128 8 = 16 ...
Página 15
... quotient to the right hand of the four figures already found , and it will give the natural number required . Thus let it be required to find the natural number corresponding to the logarithm 2.53899 true to five figures ; then , Given ...
... quotient to the right hand of the four figures already found , and it will give the natural number required . Thus let it be required to find the natural number corresponding to the logarithm 2.53899 true to five figures ; then , Given ...
Página 16
... quotient will be 18 , which annexed to the right hand of 3968 , the four figures alrea dy found , makes 396818 ; therefore as the index is 4 , the required natural number is 39681.8 . EXAMPLES . 1. Required the natural number answering ...
... quotient will be 18 , which annexed to the right hand of 3968 , the four figures alrea dy found , makes 396818 ; therefore as the index is 4 , the required natural number is 39681.8 . EXAMPLES . 1. Required the natural number answering ...
Página 19
... quotient . 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 . 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 ...
Página 20
... quotient of .7591 divided by 32.147 . Logarithm of .7591 is -1.88030 do 32.147 is 1.50714 Quotient .02361 Remain . -2.37316 In this example the index of the divisor , with its sign changed , is - 1 , which added to -1 , the index of the ...
... quotient of .7591 divided by 32.147 . Logarithm of .7591 is -1.88030 do 32.147 is 1.50714 Quotient .02361 Remain . -2.37316 In this example the index of the divisor , with its sign changed , is - 1 , which added to -1 , the index of the ...
Otras ediciones - Ver todas
Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column contained decimal degrees DEMONSTRATION departure corresponding diff difference of latitude Dist divide division line draw 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 ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular quired quotient radius rectangle remainder Required the area right angles right line right-angled triangle ROBERT ADRAIN RULE semicircle semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry
Pasajes populares
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 53 - 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 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.
Página 92 - 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.
Página 26 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.