A Compendious System of Practical Surveying, and Dividing of Land: Concisely Defined, Methodically Arranged, and Fully Exemplified : the Whole Adapted for the Easy and Regular Instruction of Youth, in Our American Schools

Johnson and Warner, 1814 - Surveying - 227 pages

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Contents

 Geometry ibid 2 Projection of the Lanes Sines Tangents and Secants 40 Trigonometry 63 Oblique Angled Trigonometry 81 Distances 100 To make a Map from the Field Notes 120
 Demonstration 57 137 Pennsylvania method of calculation 155 Division of Land 183 Intersections 198 Attraction 211

Popular passages

Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Page ii - In conformity to the act of the Congress of the United States, entitled, " An Act for the Encouragement of Learning, by securing the copies of Maps, Chart*. and Books, to the authors and proprietors of such copies, during the times therein mentioned." And also to the act, entitled, " An Act supplementary to an Act, entitled " An Act for the Encouragement of Learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies during the time* therein mentioned,"...
Page 214 - Observe, if the true and magnetic amplitudes be both north or both south, their difference is the variation ; but if one be north and the other south, their sum is the variation : and, to know whether it be easterly or westerly, suppose the observer looking towards that point of the compass representing the magnetic amplitude ; then, if the true amplitude be to the right hand of the magnetic, the variation is east, but if to the left hand, it is west.
Page 78 - To the length of the given side ; So is the sine of the angle opposite the required side. To the length of the required side.
Page 50 - ЙО, 30, &c., to the left hand, where it ends at 87 degrees. This line. with the line of equal parts, marked (EP), under it, are used together, and only in Mercator's Sailing. The upper line contains the degrees of the meridian, or latitude in a Mercator's chart, corresponding to the degrees of longitude on the lower line.
Page 213 - . 2. Subtract the Sun's declination from 90«, when the latitude and declination are of the same name, or add it to 90*, when they are of contrary names ; and the sum, or remainder, will be the Sun's polar distance. , 3. Add together the Sun's polar distance, the latitude of the place, and the altitude of the Sun; take the difference between half their sum and the polar distance, and note the remainder. 4. Then add together the log. secant of the altitude ) rejectingtheir the log. secant of the latitude...
Page 51 - ... the remainder will be the logarithm of the quotient. Again, if the logarithm of any number be divided by 2, the quotient will be the logarithm of the square root of that number...
Page 211 - Ъе both north or both south, their difference is the variation ; but if one be north and the other south, their sum is the variation ; and to know whether it be easterly or westerly, suppose the observer looking towards that point of the compass representing the magnetic amplitude : then if the true amplitude be to the right hand of the magnetic amplitude, the variation is east, but if to the left hand, it is west EXAMPLE I. July 3, 1812, in latitude 9° 36' & the Sun was observed to rise E> 32»...
Page 44 - As the figures are increased or diminished in their value, so in like manner must all the intermediate strokes or subdivisions be increased or diminished ; that is, if the first 1 at the left hand be counted 1, then 2 (next following it) will...
Page 40 - BD be a line of chords. 4thly. From the points 10, 20, 30, &c., in the quadrant BD, draw right lines parallel to CD, to cut the radius CB, and they will divide that line into a line of sines which must be numbered from C toward B.