A System of Geometry and Trigonometry: With a Treatise on Surveying; in which the Principles of Rectangular Surveying, Without Plotting, are Explained |
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Page 6
... . Entered according to act of Congress , in the year 1835 , by EDWARD P ADVERTISEMENT TO THE EIGHTH EDITION . The original compiler of COOKE , in the Clerk's Office of the District Court of Connecticut . EdueT 168,35,395- ...
... . Entered according to act of Congress , in the year 1835 , by EDWARD P ADVERTISEMENT TO THE EIGHTH EDITION . The original compiler of COOKE , in the Clerk's Office of the District Court of Connecticut . EdueT 168,35,395- ...
Page 12
... according to the opening of the lines which form it , or as the arc in- tercepted by those lines contains more or fewer degrees . Hence it may be observed , that the size of an angle does not depend at all upon the length of the ...
... according to the opening of the lines which form it , or as the arc in- tercepted by those lines contains more or fewer degrees . Hence it may be observed , that the size of an angle does not depend at all upon the length of the ...
Page 24
... according to the PROBLEMS IN GEOME- TRY , or more accurately by calculation with logarithms , or with natural sines . TRIGONOMETRY is divided into two parts , rectangular and oblique - angular . PART I RECTANGULAR TRIGONOMETRY . This is ...
... according to the PROBLEMS IN GEOME- TRY , or more accurately by calculation with logarithms , or with natural sines . TRIGONOMETRY is divided into two parts , rectangular and oblique - angular . PART I RECTANGULAR TRIGONOMETRY . This is ...
Page 25
... according to the following rules . RULE I. To find a side , either , of the sides may be made radius , then institute the following proportion : AS THE NAME OF THE SIDE GIVEN , ( which will be either radius , sine , tangent or secant ...
... according to the following rules . RULE I. To find a side , either , of the sides may be made radius , then institute the following proportion : AS THE NAME OF THE SIDE GIVEN , ( which will be either radius , sine , tangent or secant ...
Page 27
... according to the following proportions : AS UNITY OR 1 , IS TO THE LENGTH OF THE HYPOTHENUSE , SO IS THE NATURAL SINE OF THE SMALLEST ANGLE , TO THE LENGTH OF THE SHORTEST LEG . OR , SO IS THE NATURAL SINE OF THE LARGEST ANGLE , TO THE ...
... according to the following proportions : AS UNITY OR 1 , IS TO THE LENGTH OF THE HYPOTHENUSE , SO IS THE NATURAL SINE OF THE SMALLEST ANGLE , TO THE LENGTH OF THE SHORTEST LEG . OR , SO IS THE NATURAL SINE OF THE LARGEST ANGLE , TO THE ...
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Common terms and phrases
Acres Roods Rods bounds calculated centre chains and links closing line compass correct Cosine Sine Cotang course and distance cyphers decimal degrees departure column diameter difference Dist diurnal motion divided division double area double mean distance draw east or west equal error EXAMPLE feet FIELD BOOK figure find the area flag GEORGE GILLET given number given side given to find Gulliver's land half hypothenuse inches land LatDegDegDegDeg Distance latitude and departure learner leg BC length M.
M. M.
M. Sine measure meridian distances method multiplied NATURAL SINES north areas number of acres opposite parallelogram perpendicular PROBLEM protractor quotient radius random line remains right angled triangle rod chains RULE scale secant side BC side required south areas spruce stake station survey surveyor taken Tang tangent thence trapezium trapezoid TRIGONOMETRY width
Popular passages
Page 6 - Congress of the United States, 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 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 times therein mentioned,' and extending the benefits thereof...
Page 6 - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," 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, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...
Page 35 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 9 - Definitions. 1. A point is a small dot; or, mathematically considered, is that which has no parts, being of itself indivisible. 2. A line has length but no breadth. 3. A superficies or surface, called also afea, has length and breadth, but no thickness. 4. A solid has length, breadth, and thickness. 5. A right line is the shortest that can be drawn between two points.
Page 52 - ... angles which they make with the meridian. The position of the line BC (Fig. 31.) is determined by the angle ABC, as well as by the angle S'BC. When the several courses are given, the angles which any two contiguous sides make with each other, may be known by the following rules. 1. If one course is North and the other South, one East and the other West; subtract the less from the greater. 2. If one is North and the other South, but both East or West ; add them together. 3. If both are North or...
Page 10 - Fig. 5. 14. 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, &c.
Page 147 - The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right.hand column, belong to the degrees below.
Page 50 - ... 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.
Page 131 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the O's...
Page 84 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°. E.