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 59
... Diff . 1 " contain the difference of the function for a change of 1 " in the arc . These differ- ences are calculated by dividing the differences of the suc- cessive numbers in the columns of the functions by 60. By an inspection of ...
... Diff . 1 " contain the difference of the function for a change of 1 " in the arc . These differ- ences are calculated by dividing the differences of the suc- cessive numbers in the columns of the functions by 60. By an inspection of ...
Seite 61
... Diff . 1 " 9.888116 4.35 25 21 75 87 0 Diff . 25 " 108.75 + 109 Tangent 37 ° 42 ′ 25 ′′ 9.888225 Ex . 2. What is the cosine of 129 ° 17 ' 53 " ? The cosine of 129 ° 17 ' is Diff . 1 " 9.801511 2.57 53 771 128 5 Diff . 53 " 136.21 Cosine ...
... Diff . 1 " 9.888116 4.35 25 21 75 87 0 Diff . 25 " 108.75 + 109 Tangent 37 ° 42 ′ 25 ′′ 9.888225 Ex . 2. What is the cosine of 129 ° 17 ' 53 " ? The cosine of 129 ° 17 ' is Diff . 1 " 9.801511 2.57 53 771 128 5 Diff . 53 " 136.21 Cosine ...
Seite 63
... Diff . to 1 " 76.8 ) 121.0 ( 1.6 " 768 44.20 The angle is , therefore , 1 ° 34 ' 11.6 " . Ex . 6. What are corresponds to the cotangent 8.164375 ? Ans . 89 ° 9 ' 48.6 " . 135. Table of Chords . This table contains the chords of arcs to ...
... Diff . to 1 " 76.8 ) 121.0 ( 1.6 " 768 44.20 The angle is , therefore , 1 ° 34 ' 11.6 " . Ex . 6. What are corresponds to the cotangent 8.164375 ? Ans . 89 ° 9 ' 48.6 " . 135. Table of Chords . This table contains the chords of arcs to ...
Seite 198
... Diff . Lat . Dep . 30.0504 26.4000 3 66 2.2538 1.9800 .2 .07 1503 1320 526 462 Lat . 32.5071 N. Dep . 28.5582 E. The result by this method may be depended on to the third decimal figure , unless the distance is several hundred chains ...
... Diff . Lat . Dep . 30.0504 26.4000 3 66 2.2538 1.9800 .2 .07 1503 1320 526 462 Lat . 32.5071 N. Dep . 28.5582 E. The result by this method may be depended on to the third decimal figure , unless the distance is several hundred chains ...
Seite 215
... Diff . Lat . 5.66 log . 0.752816 Departure , 12.78 log . 1.106531 Bearing , N. 66 ° 7 ' E. tang . 10.353715 Bearing , 66 ° 7 ' cos . 9.607322 Diff . Lat . log . 0.752816 Distance , 13.98 1.145494 Ex . 2. One side AB of a tract of land ...
... Diff . Lat . 5.66 log . 0.752816 Departure , 12.78 log . 1.106531 Bearing , N. 66 ° 7 ' E. tang . 10.353715 Bearing , 66 ° 7 ' cos . 9.607322 Diff . Lat . log . 0.752816 Distance , 13.98 1.145494 Ex . 2. One side AB of a tract of land ...
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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
Beliebte Passagen
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.