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 sider |
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Resultat 1-5 av 86
Side 46
... relations to the arc to which they belong . Those most in use are the sine , the cosine , the tangent , the cotangent , the secant , and the cosecant . The chord of an arc is the right line joining 46 [ CHAP . III . PLANE TRIGONOMETRY .
... relations to the arc to which they belong . Those most in use are the sine , the cosine , the tangent , the cotangent , the secant , and the cosecant . The chord of an arc is the right line joining 46 [ CHAP . III . PLANE TRIGONOMETRY .
Side 47
... sine of an arc is the line drawn from one extremity of the arc , perpendicular to the diameter through the other extremity . BF ( Fig . 32 ) is the sine of AB or of EB , and BL of BD . NOTE . The sine of an arc is equal to the sine of ...
... sine of an arc is the line drawn from one extremity of the arc , perpendicular to the diameter through the other extremity . BF ( Fig . 32 ) is the sine of AB or of EB , and BL of BD . NOTE . The sine of an arc is equal to the sine of ...
Side 48
... ( Sin . a + cos.3 a R2 . ) This is evident from the right - angled triangle CFB , ( Fig . 32. ) ( 47.1 . ) = The square of ... sine of 30 ° and the cosine of 60 ° is each equal to half radius . 113. Geometrical properties most employed in ...
... ( Sin . a + cos.3 a R2 . ) This is evident from the right - angled triangle CFB , ( Fig . 32. ) ( 47.1 . ) = The square of ... sine of 30 ° and the cosine of 60 ° is each equal to half radius . 113. Geometrical properties most employed in ...
Side 58
... sine and cosine are always less than radius , the figures are all decimals . In the table the decimal point is omitted . If the sine and cosine is wanted to any other radius , the number taken from the table must be multiplied by that ...
... sine and cosine are always less than radius , the figures are all decimals . In the table the decimal point is omitted . If the sine and cosine is wanted to any other radius , the number taken from the table must be multiplied by that ...
Side 59
... sine of 32 ° 17 ' , found under 32 ° and opposite 17 ' , is .53411 . 9 The cosine of 53 ° 24 ' , found over 53 ° and ... sine of 90 ° , cosine of 0 ° , tangent of 45 ° , and cotangent of 45 ° , is each 10 . The sine , cosine , tangent ...
... sine of 32 ° 17 ' , found under 32 ° and opposite 17 ' , is .53411 . 9 The cosine of 53 ° 24 ' , found over 53 ° and ... sine of 90 ° , cosine of 0 ° , tangent of 45 ° , and cotangent of 45 ° , is each 10 . The sine , cosine , tangent ...
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A Treatise on Surveying: In which the Theory and Practice are Fully ... Samuel Alsop Uten tilgangsbegrensning - 1857 |
A Treatise on Surveying: In Which the Theory and Practice Are Fully ... Samuel Alsop Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 70 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Side 27 - Root of a Number, Divide the logarithm of the number by the index of the required root.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 39 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Side 39 - The square of the hypothenuse of a right angled triangle is equal to the sum of the squares of both the other sides.