A System of Geometry and Trigonometry: Together with a Treatise on Surveying : Teaching Various Ways of Taking the Survey of a Field : Also to Protract the Same and Find the Area : Likewise, Rectangular Surveying, Or, an Accurate Method of Calculating the Area of Any Field Arithmetically, Without the Necessity of Plotting it : to the Whole are Added Several Mathematical Tables, with a Particular Explanation and the Manner of Using Them : Compiled from Various AuthorsOliver D. Cooke, 1804 - 168 páginas |
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Página v
... practice ; and also a more particular explanation of the use of Natural Sines than is contained in most Mathematical Books . The Compiler has endeavored to render this work so easy and intelligible that a Learner will require but little ...
... practice ; and also a more particular explanation of the use of Natural Sines than is contained in most Mathematical Books . The Compiler has endeavored to render this work so easy and intelligible that a Learner will require but little ...
Página 34
... practice where a knowledge of it will be found very beneficial ; particularly in dividing Land , and as- certaining the boundaries of old Surveys . Indeed no one , who is ignorant of TRIGONOMETRY , can be an accomplished Surveyor ...
... practice where a knowledge of it will be found very beneficial ; particularly in dividing Land , and as- certaining the boundaries of old Surveys . Indeed no one , who is ignorant of TRIGONOMETRY , can be an accomplished Surveyor ...
Página 40
... practice will suggest the most convenient way of drawing the Diagonals ; but whichever way they are drawn , provided they do not intersect each other , the whole Area will be found the same . PROBLEM XIII . Respecting Circles . RULE 1 ...
... practice will suggest the most convenient way of drawing the Diagonals ; but whichever way they are drawn , provided they do not intersect each other , the whole Area will be found the same . PROBLEM XIII . Respecting Circles . RULE 1 ...
Página 49
... practice will render this mode of protracting a Field familiar and easy ; and an attention to the Courses will show in what direction the Angle is to be made . EXAMPLE III . FIELD BOOK . See PLATE IV . Fig . 66 . Ch . L. AB . N. 56 ° 15 ...
... practice will render this mode of protracting a Field familiar and easy ; and an attention to the Courses will show in what direction the Angle is to be made . EXAMPLE III . FIELD BOOK . See PLATE IV . Fig . 66 . Ch . L. AB . N. 56 ° 15 ...
Página 71
... practice , to divide a Field in such a manner as shall be desired . If he has before him a Plot of the Field , and knows the number of parts into which it is to be divided , and the proportion which each part is to bear to the others ...
... practice , to divide a Field in such a manner as shall be desired . If he has before him a Plot of the Field , and knows the number of parts into which it is to be divided , and the proportion which each part is to bear to the others ...
Otras ediciones - Ver todas
System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Sin vista previa disponible - 2017 |
Pasajes populares
Página 28 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Página 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 6 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Página 24 - In this case the" hypothenuse may be found by the square root without finding the angles ; according to the following PROPOSITION. IN EVERY RIGHT ANGLED TRIANGLE, THE SUM OF THE SQUARES OF THE TWO LEGS IS EQUAL TO THE SQUARE OF THE HYPOTHENUSE. In the above EXAMPLE, the square of AB 78.7 is 6193.69, the square of BC 89 is 7921 ; these added make 14114,69 the square root of which is nearest 119.
Página 40 - Field work and protraction are truly taken and performed ; if not, an error must have been committed in one of them : In such cases make a second protraction ; if this agrees with the former, it is to be presumed the fault is in the Field work ; a re-survey must then be taken.
Página 33 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Página 6 - Therefore all radii of the same circle are equal. 13. The diameter of a circle is a right line drawn from one side of the circumference to the other, passing through the centre ; and it divides the circle into two equal parts, called semicircles ; as AB or DE.
Página 40 - Let his attention first be directed to the map, and inform him that the top is north, the bottom south, the right hand east, and the left hand west.
Página 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.