A System of Geometry and Trigonometry: With a Treatise on Surveying ... in Which, Also, the Principles of Rectangular Surveying ... are Fully Explained: with a Complete Series of Mathematical Tables, and the Necessary Explanations

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Cooke & Company, 1833 - Geometry - 306 pages

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Page 4 - 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 4 - 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 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, &c.
Page 77 - 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.
Page 9 - NB 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 11 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.
Page 77 - But if trees, hills, &c. obstruct the view of the object, run the line according to the given bearing, and observe the nearest distance between the line so run and the corner, then, As the length of the whole line Is to 57.3 degrees,* 8o is the said distance To the difference of variation required.
Page 25 - SO IS THE NAME OF THE SIDE REQUIRED, (which also Will be either radius, sine, tangent, or secant ;) To THE LENGTH OF THE SIDE REQUIRED. RULE II. To find an angle, one of the given sides must be made radius, then institute the following proportion : AS THE LENGTH OF THE GIVEN SIDE MADE RADIUS...
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 10 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.

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