A System of Geometry and Trigonometry: Together with a Treatise on Surveying : Teaching Various Ways of Taking the Survey of a Field : Also to Protract the Same and Find the Area : Likewise, Rectangular Surveying, Or, an Accurate Method of Calculating the Area of Any Field Arithmetically, Without the Necessity of Plotting it : to the Whole are Added Several Mathematical Tables, with a Particular Explanation and the Manner of Using Them : Compiled from Various AuthorsOliver D. Cooke, 1808 - 168 Seiten |
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Seite 17
... Leg being given . Fig . 31 . Suppose the Angle at C 33 ° 15 ' , and the Leg AC 285 . Draw the Leg AC making it in ... BC 46 . Draw the Leg AB in length 38 ; from B erect a Perpendicular to C in length 46 ; and draw a Line from A to C ...
... Leg being given . Fig . 31 . Suppose the Angle at C 33 ° 15 ' , and the Leg AC 285 . Draw the Leg AC making it in ... BC 46 . Draw the Leg AB in length 38 ; from B erect a Perpendicular to C in length 46 ; and draw a Line from A to C ...
Seite 20
... BC will be the Sine of the Angle at A , and AB the Sine of the Angle at C ; that is , the Legs will be Sines of their opposite An- gles .. PROPOSITION II . If one Leg , AB , Fig . 45 . be described , then BC , the other Leg , be made ...
... BC will be the Sine of the Angle at A , and AB the Sine of the Angle at C ; that is , the Legs will be Sines of their opposite An- gles .. PROPOSITION II . If one Leg , AB , Fig . 45 . be described , then BC , the other Leg , be made ...
Seite 21
... BC , the other Leg , will be the Tan- gent and AC the Secant of the Angle at A ; and if BC be made Radius , and an Arch be described with it on the Point C , then AB will be the Tangent and AC the Secant of the Angle at C ; that is , if one ...
... BC , the other Leg , will be the Tan- gent and AC the Secant of the Angle at A ; and if BC be made Radius , and an Arch be described with it on the Point C , then AB will be the Tangent and AC the Secant of the Angle at C ; that is , if one ...
Seite 22
... Leg AB . As Radius : Hyp . AC , 25 10.00000 · 1.39794 :: Sine ACB , 54 ° 30 ′ 9.91069 To find the Leg BC . As Radius 10.00000 · · 1.39794 : Hyp . AC , 25 :: Sine CAB , 35 ° 30 9.76395 ... Leg BC be : To find the Leg 22 TRIGONOMETRY .
... Leg AB . As Radius : Hyp . AC , 25 10.00000 · 1.39794 :: Sine ACB , 54 ° 30 ′ 9.91069 To find the Leg BC . As Radius 10.00000 · · 1.39794 : Hyp . AC , 25 :: Sine CAB , 35 ° 30 9.76395 ... Leg BC be : To find the Leg 22 TRIGONOMETRY .
Seite 23
... Leg BC be : To find the Leg AB . As Secant ABC , 54 ° 30 ′ : Hyp . AC , 25 :: Tangent ACB , 54 ° 30 ' : Leg AB , 20.35 Radius , the Proportions will To find the Leg BC . As Secant ACB , 54 ° 30 ′ : Hyp . AC , 25 :: Radius : Leg . BC ...
... Leg BC be : To find the Leg AB . As Secant ABC , 54 ° 30 ′ : Hyp . AC , 25 :: Tangent ACB , 54 ° 30 ' : Leg AB , 20.35 Radius , the Proportions will To find the Leg BC . As Secant ACB , 54 ° 30 ′ : Hyp . AC , 25 :: Radius : Leg . BC ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
Häufige Begriffe und Wortgruppen
Angle opposite Bearing and Distance C.Tang Chord Circle Circumference Co-Sine Sine Compass contained Angle Decimals Degrees and Minutes Dep Lat Diagonal Difference Dist divided Doub Double Area double the Area draw a Line Draw the Line EXAMPLE FIELD BOOK find the Angles find the Area find the Leg given Leg given number given Side Lat Dep Latitude and Departure Leg AB Leg BC length Loga Logarithmic Sine measuring Meridian multiply Natural Sines North Areas Note number of Acres number of Degrees Offset opposite Angle Parallelogram PLATE Plot PROB PROBLEM protract Quotient Radius Remainder Rhombus Right Angled Triangle RULE Secant Co-Secant Side BC Sine Co-Sine Tangent Sine Sine Sine South Areas Square Chains Square Links Square Root stationary Lines subtract survey a Field Surveyor Table of Logarithms Table of Natural Tangent Co-Secant Secant Tangent or Secant Trapezium Trapezoid Triangle ABC TRIGONOMETRY
Beliebte Passagen
Seite 10 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Seite 31 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 32 - 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 10 - The Radius of a circle is a line drawn from the centre to the circumference.
Seite 78 - Go to any part of the premises where any two adjacent corners are known ; and if one can be seen from the other, take their bearing ; which, compared with that of the same line in the former survey, shows the difference. But if one corner cannot be seen from the other, run the line according to the given bearing, and observe the nearest distance between the line so run and the corner ; then...
Seite 44 - Field work and protraction are truly taken and performed ; if not, an error must have been committed in one of them : In such cases make a second protraction ; if this agrees with the former, it is to be presumed the fault is in the Field work ; a re- survey must then be taken.
Seite 14 - Figures which consist of more than four sides' are called polygons; if the sides are equal to each other they are called regular polygons, and are sometimes named from the number of their sides, as pentagon, or hexagon, a figure of five or six sides, &c.; if the sides are unequal, they are called irregular polygons.
Seite 44 - Let his attention first be directed to the map, and inform him that the top is north, the bottom south, the right hand east, and the left hand west.
Seite 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Seite 39 - To find the area of a trapezoid. RULE. — Multiply half the sum of the parallel sides by the altitude, and the product is the area.