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
... trapezium . 29. A right line 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 ...
... trapezium . 29. A right line 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 ...
Seite 91
... trapezium , when one of the diago- nals and the two perpendiculars let fall on it from the opposite angles , are given . RULE . Multiply the sum of the perpendiculars by the diago- nal , and half the product will be the area ...
... trapezium , when one of the diago- nals and the two perpendiculars let fall on it from the opposite angles , are given . RULE . Multiply the sum of the perpendiculars by the diago- nal , and half the product will be the area ...
Seite 92
... trapezium will be divided into two trian- gles , the area of each of which may be found by the last problem . The sum of these areas will be the area of the trapezium . EXAMPLES . 1. In a field ABCD in the form of a trapezium , the ...
... trapezium will be divided into two trian- gles , the area of each of which may be found by the last problem . The sum of these areas will be the area of the trapezium . EXAMPLES . 1. In a field ABCD in the form of a trapezium , the ...
Seite 93
... trapezium is 24Ch . and the per- pendiculars are 8.27Ch . and 11.43Ch . what is the area ? 24A . 3R . 14P . PROBLEM VII . To find the area of a trapezium , when all the angles and two opposite sides are given . Note . When three of the ...
... trapezium is 24Ch . and the per- pendiculars are 8.27Ch . and 11.43Ch . what is the area ? 24A . 3R . 14P . PROBLEM VII . To find the area of a trapezium , when all the angles and two opposite sides are given . Note . When three of the ...
Seite 94
... trapezium . * Calculation . The angle E 180 ° 23 ° 20 ' . ADC the sum of the angles BCD , * DEMONSTRATION . By construction FC is parallel to AD and CD to AF , therefore ( 34.1 . ) CD = AF and ( 29. 1. ) the angle ADC = EAF ; hence it ...
... trapezium . * Calculation . The angle E 180 ° 23 ° 20 ' . ADC the sum of the angles BCD , * DEMONSTRATION . By construction FC is parallel to AD and CD to AF , therefore ( 34.1 . ) CD = AF and ( 29. 1. ) the angle ADC = EAF ; hence it ...
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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.