A Treatise on Surveying: In which the Theory and Practice are Fully Explained. Preceded by a Short Treatise on Logarithms: and Also by a Compendious System of Plane Trigonometry. The Whole Illustrated by Numerous ExamplesE.C. & J. Biddle, 1865 - 428 Seiten |
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Seite 14
... of a Rectangle , one Side being given ..... ............... ......... The Adjacent Sides having a given Ratio .......... .............................. 251 252 One Side to exceed another by a given Difference ....... 14 CONTENTS .
... of a Rectangle , one Side being given ..... ............... ......... The Adjacent Sides having a given Ratio .......... .............................. 251 252 One Side to exceed another by a given Difference ....... 14 CONTENTS .
Seite 15
... Difference ....... To lay out a given quantity of Land in the form of a Triangle or Paral- lelogram , the Base being given ............ .. One Side and the Adjacent Angle being given .. Lemma ......... ........... ........................
... Difference ....... To lay out a given quantity of Land in the form of a Triangle or Paral- lelogram , the Base being given ............ .. One Side and the Adjacent Angle being given .. Lemma ......... ........... ........................
Seite 18
... difference of these logarithms is 4 , which is the logarithm of 16 , the quotient required . Hence the difference of the logarithms of two numbers is the logarithm of their quotient . 2. Required the third power of 32. The logarithm of ...
... difference of these logarithms is 4 , which is the logarithm of 16 , the quotient required . Hence the difference of the logarithms of two numbers is the logarithm of their quotient . 2. Required the third power of 32. The logarithm of ...
Seite 22
... difference between this logarithm and the next greater in the table ; multiply this difference by the remaining figures in the number , and from the product separate as many figures from the right hand as are contained in the mul ...
... difference between this logarithm and the next greater in the table ; multiply this difference by the remaining figures in the number , and from the product separate as many figures from the right hand as are contained in the mul ...
Seite 23
... Difference .424392 4555 163 9 146,7 424392 + 147.424539 , and the index being -3 , the com- plete logarithm is -3.424539 . NOTE . In this last example , the product is 1467 : the figure stricken off being 7 , which is more than 5 , 147 ...
... Difference .424392 4555 163 9 146,7 424392 + 147.424539 , and the index being -3 , the com- plete logarithm is -3.424539 . NOTE . In this last example , the product is 1467 : the figure stricken off being 7 , which is more than 5 , 147 ...
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A Treatise on Surveying: In Which the Theory and Practice Are Fully ... Samuel Alsop Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
ABCD acres adjacent angles adjacent sides bearings and distances calculate the area centre chains circle column compass correction Cosine Cotang decimal deflection determine Diff difference of latitude Dist divided division line double departure draw east equal error EXAMPLES field-notes figure given area given line given point Given the bearings horizontal hour angle inch instrument latitude and departure length line running logarithm mean proportional measured meridian method multiplier needle number of degrees offsets opposite parallel parallelogram perpendicular plat plate Polaris Problem protractor quotient radius ratio rectangle right angles right ascension rule scale sight sine square station straight line subtract survey surveyor Take the difference tance Tang tangent telescope theodolite tract of land transit trapezium triangle Trigonometry vernier whence
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Seite 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 70 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 27 - Root of a Number, Divide the logarithm of the number by the index of the required root.
Seite 33 - When one straight line meets another, so as to make two adjacent angles equal, each of these angles is called a right angle; and the first line is said to be perpendicular to the second.
Seite 195 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Seite 73 - ... will be — As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Seite 37 - If two triangles have two sides and the included angle of one respectively equal to the sides and the included angle of the other, the triangles are congruent.
Seite 126 - If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, they are equal in all their parts.
Seite 39 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Seite 39 - The square of the hypothenuse of a right angled triangle is equal to the sum of the squares of both the other sides.