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 SchoolsJ. Richardson, 1817 - 206 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 65.
Σελίδα 30
... given point A , in a right line EF , to erect a per- pendicular , Fig . 19 . From the point A , lay off on each side , the equal dis- tances A C , AD ; from C and D , as centres , with any radius greater than A C or AD , describe two ...
... given point A , in a right line EF , to erect a per- pendicular , Fig . 19 . From the point A , lay off on each side , the equal dis- tances A C , AD ; from C and D , as centres , with any radius greater than A C or AD , describe two ...
Σελίδα 44
... angles and one side of any plane triangle being given , to find the other sides . RULE . As the sine of the angle opposite the given side , Is to the sine of the angle opposite the required side , So is the given side , To the required side ...
... angles and one side of any plane triangle being given , to find the other sides . RULE . As the sine of the angle opposite the given side , Is to the sine of the angle opposite the required side , So is the given side , To the required side ...
Σελίδα 45
... angle or 90 ° is 10.00000 , being the same as the logarithm of the radius . EXAMPLES . 1. In the triangle ABC , there are given the angle A = 32 ° 15 ' , the angle B = 114 ° 24 ' , and consequently the angle C = 33o 21 ' , and the side ...
... angle or 90 ° is 10.00000 , being the same as the logarithm of the radius . EXAMPLES . 1. In the triangle ABC , there are given the angle A = 32 ° 15 ' , the angle B = 114 ° 24 ' , and consequently the angle C = 33o 21 ' , and the side ...
Σελίδα 46
... side AC . Extend the compasses from 33 ° 21 ' to 32 ° 15 ' on the line of sines ; that extent will reach , on the line of num- bers , from 98 to 95 , the side BC . = 2. In the right angled triangle ABC , are given the hypothenuse AC 480 ...
... side AC . Extend the compasses from 33 ° 21 ' to 32 ° 15 ' on the line of sines ; that extent will reach , on the line of num- bers , from 98 to 95 , the side BC . = 2. In the right angled triangle ABC , are given the hypothenuse AC 480 ...
Σελίδα 48
... angle A ; that extent will reach , on the line of numbers , from 480 to 288 , the base AB . 3. In the triangle ABC , are given the angle A = 79 ° 23 ' , the angle B = 54 ° 22 ′ , and the side BC = 125 ; re- quired AC and AB . Ans ...
... angle A ; that extent will reach , on the line of numbers , from 480 to 288 , the base AB . 3. In the triangle ABC , are given the angle A = 79 ° 23 ' , the angle B = 54 ° 22 ′ , and the side BC = 125 ; re- quired AC and AB . Ans ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column contained decimal degrees DEMONSTRATION departure corresponding diff difference of latitude Dist divide division line draw equal EXAMPLES feet field-notes figures find the angle find the area four-pole chains fourth term given angle given area given bearing given number given ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular quired quotient radius rectangle remainder Required the area right angles right line right-angled triangle ROBERT ADRAIN RULE semicircle semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry
Δημοφιλή αποσπάσματα
Σελίδα 2 - 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...
Σελίδα 35 - 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 44 - 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 53 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 26 - 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 79 - 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 29 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 36 - 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 92 - 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.
Σελίδα 26 - 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.