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 SchoolsKimber & Richardson, 1814 - 346 Seiten |
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Seite 27
... joining any two opposite angles of a quadrilateral figure , is called a diagonal . 30. That side AB upon which any parallelogram . ABEC , or triangle ABC is supposed to stand , is call- ed the base ; and the perpendicular CD falling ...
... joining any two opposite angles of a quadrilateral figure , is called a diagonal . 30. That side AB upon which any parallelogram . ABEC , or triangle ABC is supposed to stand , is call- ed the base ; and the perpendicular CD falling ...
Seite 30
... join CB , which will be perpendicu- lar to AB . PROBLEM IV . To let fall a perpendicular upon a given line BC , from a given point A , without it , Fig . 21 . In the line BC take any point D , and with it as a cen- tre and distance DA ...
... join CB , which will be perpendicu- lar to AB . PROBLEM IV . To let fall a perpendicular upon a given line BC , from a given point A , without it , Fig . 21 . In the line BC take any point D , and with it as a cen- tre and distance DA ...
Seite 32
... join E and the first divi- sion on FC , the first division on EB and the second on FC , & c . Note . - Diagonal scales serve to take off dimensions or numbers of three figures . If the first large divisions be units , the second set of ...
... join E and the first divi- sion on FC , the first division on EB and the second on FC , & c . Note . - Diagonal scales serve to take off dimensions or numbers of three figures . If the first large divisions be units , the second set of ...
Seite 36
... join AD . Divide the arc AD into nine equal parts as A , 10 ; 10 , 20 ; & c . and with one foot of the dividers in A , trans- fer the distances A , 10 ; A , 20 ; & c . to the right line AD ; then will AD be a line of chords constructed ...
... join AD . Divide the arc AD into nine equal parts as A , 10 ; 10 , 20 ; & c . and with one foot of the dividers in A , trans- fer the distances A , 10 ; A , 20 ; & c . to the right line AD ; then will AD be a line of chords constructed ...
Seite 48
... join BA ; then is ABC the triangle required : the side AC , measured by the scale of equal parts will be 1.54 , and the angles A and B , measured by a scale of chords will be 26o 21 ′ and • Here the arc ab cuts AC in one point 120 ° 18 ...
... join BA ; then is ABC the triangle required : the side AC , measured by the scale of equal parts will be 1.54 , and the angles A and B , measured by a scale of chords will be 26o 21 ′ and • Here the arc ab cuts AC in one point 120 ° 18 ...
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A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere Keine Leseprobe verfügbar - 2016 |
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Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Seite 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.
Seite 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.