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 ...
Oliver D. Cooke, 1804 - 168 sider
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Acres Rood Rods Angle opposite ARITHMs Circle Circumference Co-Secant|M Co-Sine Tangent Compass contained Angle Decimals Degrees and Minutes Diagonal Difference divided Doub 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 half ITSecant JVote l l l Latitude and Departure Leg AB Leg BC length Logarithmic Sine measuring multiply Natural Sines North Areas number of Acres number of Degrees Offset Parallelogram Perpendicular PLATE Plot PROBLEM protract Quotient Radius Remainder Rhombus Right Angled Triangle Rod Chains RULE Secant Co-Secant Side BC Sime Sine Co-Sine Sine Sine South Areas Square Chains Square Links Square Root stationary Lines subtract survey a Field Surveyor Tang Tangent or Secant Trapezium Trapezoid TRAVERSE TABLE Triangle ABC Trigonometry zoid
Side iv - IDE, of the said District, hath deposited in this office, the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " Inductive Grammar, designed for beginners. By an Instructer." In conformity to the act of the Congress of the United States...
Side 33 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Side 12 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Side 30 - In this case the" hypothenuse may be found by the square root without finding the angles ; according to the following PROPOSITION. IN EVERY RIGHT ANGLED TRIANGLE, THE SUM OF THE SQUARES OF THE TWO LEGS IS EQUAL TO THE SQUARE OF THE HYPOTHENUSE. In the above EXAMPLE, the square of AB 78.7 is 6193.69, the square of BC 89 is 7921 ; these added make 14114,69 the square root of which is nearest 119.
Side 48 - 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.
Side 41 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Side 12 - Therefore all radii of the same circle are equal. 13. The diameter of a circle is a right line drawn from one side of the circumference to the other, passing through the centre ; and it divides the circle into two equal parts, called semicircles ; as AB or DE.
Side 48 - 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.