## 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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### Common terms and phrases

according acres added angle Answer balanced bearing beginning bounds calculated called centre chains circle column compass contains corner correct Cosine Sine Cotang course course and distance decimal describe diameter difference directions distance divided division double draw drawn east equal error EXAMPLE feet field figures four fourth given gives greater half hypothenuse inches land latitude and departure latter length less logarithm measure meridian distances method miles minutes multiplied needle Note observation opposite parallel perpendicular plot practice PROBLEM proportion radius remains right angled road rods RULE scale side Sine square station subtract Suppose survey surveyor taken Tang tangent third trapezoid tree triangle true whole

### 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 149 - 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 133 - 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.