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 σελίδες |
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Σελίδα 25
... Quotient will be the Hypothenuse . To find the other Leg . As the Natural Sine of the Angle opposite the given Leg ; Is to the length of the given Leg ; So is the Natural Sine of the Angle oppo- site the other Leg ; To the length of the ...
... Quotient will be the Hypothenuse . To find the other Leg . As the Natural Sine of the Angle opposite the given Leg ; Is to the length of the given Leg ; So is the Natural Sine of the Angle oppo- site the other Leg ; To the length of the ...
Σελίδα 26
... leg ; To the Nat . Sine of its opposite Angle . Or , which is the same thing , Divide the given Leg by the Hypothenuse , and the Quotient will be the Nat . EXAMPLE . The Leg AB 40 divided by the Hypothenuse Sine . 26 TRIGONOMETRY .
... leg ; To the Nat . Sine of its opposite Angle . Or , which is the same thing , Divide the given Leg by the Hypothenuse , and the Quotient will be the Nat . EXAMPLE . The Leg AB 40 divided by the Hypothenuse Sine . 26 TRIGONOMETRY .
Σελίδα 41
... Quotient will be the Square of the Diameter ; from this extract the Square Root , and you will have the Diameter . RULE 7. The Area being given to find the Circum- ference : Divide the Area by 0.07958 , and the Quo- tient will be the ...
... Quotient will be the Square of the Diameter ; from this extract the Square Root , and you will have the Diameter . RULE 7. The Area being given to find the Circum- ference : Divide the Area by 0.07958 , and the Quo- tient will be the ...
Σελίδα 50
... Quotient will equal the number of Angles contained in the Field . Thus , in the preceding EXAMPLE , the Sum of all the Angles is 1980 ° ; to this add 360 ° and it makes 2340 ° ; this Sum being divided by 180 ° the Quotient will be 13 ...
... Quotient will equal the number of Angles contained in the Field . Thus , in the preceding EXAMPLE , the Sum of all the Angles is 1980 ° ; to this add 360 ° and it makes 2340 ° ; this Sum being divided by 180 ° the Quotient will be 13 ...
Σελίδα 51
... Quotient will be 7 , the number of the Sides or An- gles of the Field . Several Field Books to exercise the Learner in plotting Fields and calculating their Area . No. I. Rods . No. III . Rods . 1. N. 15 ° 0 ′ E. 320 2. N. S7 30 E. 160 ...
... Quotient will be 7 , the number of the Sides or An- gles of the Field . Several Field Books to exercise the Learner in plotting Fields and calculating their Area . No. I. Rods . No. III . Rods . 1. N. 15 ° 0 ′ E. 320 2. N. S7 30 E. 160 ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 31 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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.
Σελίδα 10 - The Radius of a circle is a line drawn from the centre to the circumference.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 27 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Σελίδα 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.