A Treatise on Surveying, Containing the Theory and Practice: To which is Prefixed a Perspicuous System of Plane Trigonometry. The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. Particularly Adapted to the Use of Schools |
From inside the book
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Page 29
Open the dividers to any distance more than half the line A B , and with one foot
in A , describe the arc CFD ; with the same opening , and one foot in B , describe
the arc CGD , meeting the first arc in C and D ; from C to D draw the right line CD
...
Open the dividers to any distance more than half the line A B , and with one foot
in A , describe the arc CFD ; with the same opening , and one foot in B , describe
the arc CGD , meeting the first arc in C and D ; from C to D draw the right line CD
...
Page 30
In the line B C take any point D , and with it as a centre and distance D A describe
an arc AGE , cutting BC in G , with G as a centre , and distance G A , describe an
arc cutting AGE in E , and from A to E draw the line AFE ; then AF will be ...
In the line B C take any point D , and with it as a centre and distance D A describe
an arc AGE , cutting BC in G , with G as a centre , and distance G A , describe an
arc cutting AGE in E , and from A to E draw the line AFE ; then AF will be ...
Page 31
In the lines AB and AC , from the point A set off equal distances A D and AE ; with
the centres D and E and any distance more than half D E describe two arcs
cutting each other in F ; from A through F draw the line AG , and it will bisect the ...
In the lines AB and AC , from the point A set off equal distances A D and AE ; with
the centres D and E and any distance more than half D E describe two arcs
cutting each other in F ; from A through F draw the line AG , and it will bisect the ...
Page 37
With the centre A , and a radius equal to 60 degrees , taken from a scale of
chords , describe an arc , cutting AB in m ; from the same scale of chords , take 38
degrees and apply it to the arc from m to.n , and from A through n draw the line
AC ...
With the centre A , and a radius equal to 60 degrees , taken from a scale of
chords , describe an arc , cutting AB in m ; from the same scale of chords , take 38
degrees and apply it to the arc from m to.n , and from A through n draw the line
AC ...
Page 56
Draw AB = 426 ; with AC = 365 in the dividers , and one foot in A , describe an arc
, and with BC = 230 , and one foot in B describe another arc , cutting the formér in
C ; join AC , BC , and ABC will be the triangle required . The angles measured ...
Draw AB = 426 ; with AC = 365 in the dividers , and one foot in A , describe an arc
, and with BC = 230 , and one foot in B describe another arc , cutting the formér in
C ; join AC , BC , and ABC will be the triangle required . The angles measured ...
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Common terms and phrases
ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Secant Co-sine Co-tang column Construction contained corresponding Courses decimal DegDegDeg DEMONSTRATION describe difference Dist distance divide division draw east equal EXAMPLES feet field figures find the area given given angle given area given side greater half hand height join latitude and departure length less logarithm measured meeting meridian distance Note Off-sets opposite parallel perches perpendicular preceding PROBLEM radius rectangle remainder Required the area right angled triangle right line root RULE running scale Secant side AC Sine square station subtract survey taken Tang Tangent tract of land triangle triangle ABC twice
Popular passages
Page 2 - 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 time therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and...
Page 97 - To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately.
Page 43 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Page 34 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 2 - 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 85 - A maypole, whose top was broken off by a blast of wind, struck the ground at 15 feet distance from the foot of the pole: what was the height of the whole maypole, supposing the broken piece to measure 39 feet in length ? Ans.
Page 25 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 91 - PROBLEM I. To find the area of a parallelogram; whether it be a square, a rectangle, a rhombus, or a rhomboides. RULE.* Multiply the length by the perpendicular height, and the product will be the area.
Page 96 - If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC (Fig.
Bibliographic information
| Title | A Treatise on Surveying, Containing the Theory and Practice: To which is Prefixed a Perspicuous System of Plane Trigonometry. The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. Particularly Adapted to the Use of Schools |
| Author | John Gummere |
| Publisher | Kimber & Richardson; W. Brown, printer, 1814 |
| Original from | the University of Michigan |
| Digitized | 24 May 2007 |
| Length | 346 pages |
| Export Citation | BiBTeX EndNote RefMan |