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 28.
Σελίδα 23
... manner . EXAMPLES . 1. Required the cube root of 391.27 . 3 ) Logarithm of 391.27 is 2.59248 Cube root 7.314 0.86416 2. Required the square root of .08593 . Logarithm of .08593 Square root .29314 2 ) is 2.93414 -1.46707 3. Required the ...
... manner . EXAMPLES . 1. Required the cube root of 391.27 . 3 ) Logarithm of 391.27 is 2.59248 Cube root 7.314 0.86416 2. Required the square root of .08593 . Logarithm of .08593 Square root .29314 2 ) is 2.93414 -1.46707 3. Required the ...
Σελίδα 35
... manner , 50 ° 18 ′ 35 " which signifies that the given arc or angle contains 50 degrees , 18 minutes and 35 seconds . 4. The complement of an arc , or of an angle , is what it wants of 90 ° ; and the supplement of an arc , or of an ...
... manner , 50 ° 18 ′ 35 " which signifies that the given arc or angle contains 50 degrees , 18 minutes and 35 seconds . 4. The complement of an arc , or of an angle , is what it wants of 90 ° ; and the supplement of an arc , or of an ...
Σελίδα 39
... manner the logarithmic tagents and secants are to be understood . The method by which the sines are computed is too abstruse to be explained in this work , but a familiar ex- position of this subject as well as the construction of lo ...
... manner the logarithmic tagents and secants are to be understood . The method by which the sines are computed is too abstruse to be explained in this work , but a familiar ex- position of this subject as well as the construction of lo ...
Σελίδα 45
... manner it is proved , that sin . A : sin . C :: BC AB . When one of the angles is obtuse the demonstration is the same . Hence it appears , that in any plane triangle , the sides are to one another as the sines of their opposite angles ...
... manner it is proved , that sin . A : sin . C :: BC AB . When one of the angles is obtuse the demonstration is the same . Hence it appears , that in any plane triangle , the sides are to one another as the sines of their opposite angles ...
Σελίδα 51
... manner as the preceding example ; only AB , being shorter than BC , the arc ab cuts AC in two points on the same side of BC ; hence the angle A may be either acute or obtuse . The side re- quired has also two values as AC and AC . By ...
... manner as the preceding example ; only AB , being shorter than BC , the arc ab cuts AC in two points on the same side of BC ; hence the angle A may be either acute or obtuse . The side re- quired has also two values as AC and AC . By ...
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.