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, Particularlry Adapted to the Use of SchoolsJohn Richardson, 1817 - 206 páginas |
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Página 26
... joins them lies whol- ly in that superficies . 7. 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 , as A , Fig . 1 . Note . When several ...
... joins them lies whol- ly in that superficies . 7. 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 , as A , Fig . 1 . Note . When several ...
Página 28
... joining any two opposite angles of a quadrilateral figure , is called a diagonal . 30. That side AB upon which any parallelogram A B E C , or triangle A B C is supposed to stand , is call- ed the base ; and the perpendicular CD falling ...
... joining any two opposite angles of a quadrilateral figure , is called a diagonal . 30. That side AB upon which any parallelogram A B E C , or triangle A B C is supposed to stand , is call- ed the base ; and the perpendicular CD falling ...
Página 31
... join CB , which will be perpendicu- lar to AB . PROBLEM IV . To let fall a perpendicular upon a given line BC , from a given a point A , without it , Fig . 21 . In the line BC take any point D , and with it as a cen- tre and distance DA ...
... join CB , which will be perpendicu- lar to AB . PROBLEM IV . To let fall a perpendicular upon a given line BC , from a given a point A , without it , Fig . 21 . In the line BC take any point D , and with it as a cen- tre and distance DA ...
Página 33
... join E and the first divi- sion on F C , the first division on E B and the second on FC , & c . Note . - Diagonal scales serve to take off dimensions or numbers of three figures . If the first large divisions be units , the second set ...
... join E and the first divi- sion on F C , the first division on E B and the second on FC , & c . Note . - Diagonal scales serve to take off dimensions or numbers of three figures . If the first large divisions be units , the second set ...
Página 37
... join AD . 13 . Divide the arc AD into nine equal parts as A , 10 ; 10 , 20 ; & c . and with one foot of the dividers in A , transfer the distances A , 10 ; A , 2 ; & c . to the right line AD ; then will AD be a line of chords ...
... join AD . 13 . Divide the arc AD into nine equal parts as A , 10 ; 10 , 20 ; & c . and with one foot of the dividers in A , transfer the distances A , 10 ; A , 2 ; & c . to the right line AD ; then will AD be a line of chords ...
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Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle opposite angles ABC base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column decimal DegDeg Dist DEMONSTRATION diff difference of latitude divide division line draw east 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 side John Gummere LatDegDeg LatDegDegDeg Dist LatDegDegDegDeg Dist latitude and departure length logarithm M.
M. Sine measured meridian distance natural number off-sets parallel parallelogram perches PROBLEM quired quotient radius rectangle remainder Required the area right angles right line right-angled triangle ROBERT ADRAIN RULE semiperimeter side AB side AC square root station stationary line subtract tance Tang Tangent tract of land trapezium triangle ABC trigonometry
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Página 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...
Página 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...
Página 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.
Página 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.
Página 52 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 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.
Página 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.
Página 29 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 86 - 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.
Página 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.