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 pages |
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Page 10
... less by unity , than the number of figures in the in- tegral part of the corresponding natural number . The index of the logarithm of a number , consisting in whole , or in part of integers , is affirmative ; but if the number be a ...
... less by unity , than the number of figures in the in- tegral part of the corresponding natural number . The index of the logarithm of a number , consisting in whole , or in part of integers , is affirmative ; but if the number be a ...
Page 11
... less , than the number of figures in the integral part of the given num- ber ; also , when the given number is wholly a decimal , the index is negative , and must be one more than the number of the cyphers between the decimal point and ...
... less , than the number of figures in the integral part of the given num- ber ; also , when the given number is wholly a decimal , the index is negative , and must be one more than the number of the cyphers between the decimal point and ...
Page 14
... less ; then the three figures in the first column , marked No. which are in a line with the logarithm found , together with the figure at the top of the table directly above it , will form the number re- quired . Observing , that when ...
... less ; then the three figures in the first column , marked No. which are in a line with the logarithm found , together with the figure at the top of the table directly above it , will form the number re- quired . Observing , that when ...
Page 15
... less .53899 .53895 the natural number corresponding is 3459 Diff . with one upper annexed 40 Next less log . 53895 53908 13 Next greater Difference Divide 40 by 13 and the quotient will be 3 , which an- nexed to the right hand of 3459 ...
... less .53899 .53895 the natural number corresponding is 3459 Diff . with one upper annexed 40 Next less log . 53895 53908 13 Next greater Difference Divide 40 by 13 and the quotient will be 3 , which an- nexed to the right hand of 3459 ...
Page 27
... less than a right an gle , as BD F , Fig . 4 . 11. An obtuse angle is that which is greater than a right angle , as AD E , Fig . 4 . 12. Parallel straight lines are those which are in the same plane , and which , being produced ever so ...
... less than a right an gle , as BD F , Fig . 4 . 11. An obtuse angle is that which is greater than a right angle , as AD E , Fig . 4 . 12. Parallel straight lines are those which are in the same plane , and which , being produced ever so ...
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Common terms and phrases
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
Popular passages
Page 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...
Page 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.
Page 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.
Page 53 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 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.
Page 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.
Page 29 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 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.
Page 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.
Page 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.