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 & Sharpless, 1828 - 216 σελίδες |
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Σελίδα 32
... ABCD be the square required . PROBLEM X. To describe a circle that shall pass through the angular points , A , B , and c , of a triangle ABC , Fig . 27 . By Problem I. bisect any two of the sides , as Ac , bc , by the perpendiculars DE ...
... ABCD be the square required . PROBLEM X. To describe a circle that shall pass through the angular points , A , B , and c , of a triangle ABC , Fig . 27 . By Problem I. bisect any two of the sides , as Ac , bc , by the perpendiculars DE ...
Σελίδα 120
... ABCD ( Fig . 68 ) be a rectangle ; and let its length AB and CD , and its breadth AD and BC , be each divided into as many equal parts , as are expressed by the number of times they contain the lineal measuring unit ; and let all the ...
... ABCD ( Fig . 68 ) be a rectangle ; and let its length AB and CD , and its breadth AD and BC , be each divided into as many equal parts , as are expressed by the number of times they contain the lineal measuring unit ; and let all the ...
Σελίδα 126
... ABCD is equal to double the area of the triangle ABC : therefore ( 11.5 ) rad . × sin . ACB : sin . A × sin . B :: AB2 : dou- 2. One side of a triangle measures 24.32 chains , ble the area of the triangle ABC . 126 CHAP . III . CONTENT ...
... ABCD is equal to double the area of the triangle ABC : therefore ( 11.5 ) rad . × sin . ACB : sin . A × sin . B :: AB2 : dou- 2. One side of a triangle measures 24.32 chains , ble the area of the triangle ABC . 126 CHAP . III . CONTENT ...
Σελίδα 130
... ABCD in the form of a trapezium , the diagonal AC measures 20.64 chains , the perpendicular BF 6.96 chains , and DE 5.92 chains ; required the area . Fig . 70 . Ch . 6.96 5.92 12.88 20.64 5152 7728 2576 2 ) 265.8432 132.9216 Ch . = 13 A ...
... ABCD in the form of a trapezium , the diagonal AC measures 20.64 chains , the perpendicular BF 6.96 chains , and DE 5.92 chains ; required the area . Fig . 70 . Ch . 6.96 5.92 12.88 20.64 5152 7728 2576 2 ) 265.8432 132.9216 Ch . = 13 A ...
Σελίδα 131
... ABCD , there are given the following bearings and distances , viz . AB , N. 24 ° E. dist . 6.90 ch . BC , N. 64 ° 40 ... ABCD . Produce DA , CB , to meet in E , then 2 2 EDC - 2 EAB . ABCD 2 EDC - 2 EAB or ABCD = " Hence the truth of the ...
... ABCD , there are given the following bearings and distances , viz . AB , N. 24 ° E. dist . 6.90 ch . BC , N. 64 ° 40 ... ABCD . Produce DA , CB , to meet in E , then 2 2 EDC - 2 EAB . ABCD 2 EDC - 2 EAB or ABCD = " Hence the truth of the ...
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A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
100 Distance AB² ABCD ABFD acres adjacent angles ABC base bearings and distances Calculation centre changed bearing Co-secant Secant Co-sine Co-tang column compass decimal degrees DEMONSTRATION diff difference of latitude dist divide division line draw east equal EXAMPLES figures find the angle find the area fourth term given angle given area given bearing given number given side Given the bearings hypothenuse John Gummere LatDegDegDegDeg Distance latitude and departure length line FE logarithm M.
M. Sine measured meridian multiplier natural number off-sets parallelogram perches perpendicular place of beginning pole star prob quired quotient radius rectangle Required the area right line right-angled triangle ROBERT ADRAIN RULE side AC square root station stationary lines subtract take the difference tance Tangent tract of land trapezium Treatise on Surveying triangle ABC trigonometry two-pole chains
Δημοφιλή αποσπάσματα
Σελίδα 21 - 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.
Σελίδα 30 - 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.
Σελίδα 61 - 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.
Σελίδα 13 - 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.
Σελίδα 14 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 22 - Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE.
Σελίδα 12 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Σελίδα 109 - Sides are given. From half the sum of the three sides, subtract each side severally ; multiply the half sum, and the three remainders together, and the square root of the product will be the Area required. Example. — Required the Area of a Triangle, whose sides are 50, 40, and 30 feet. 50 + 40 + 30.. fin half sum of the three sides.
Σελίδα 13 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.
Σελίδα 108 - 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.