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 |
Dentro del libro
Resultados 6-10 de 31
Página 7
... . To this Section is added a use- ful Problem for ascertaining the true Area of a Field which has been measured . by a Chain too long or too Part second treats of laying out Land in various shapes short . PREFACE . vii.
... . To this Section is added a use- ful Problem for ascertaining the true Area of a Field which has been measured . by a Chain too long or too Part second treats of laying out Land in various shapes short . PREFACE . vii.
Página 8
... added some observations res-- pecting the Variation of the Compass and the Attrac- tion of the Needle ; with Rules for finding the Varia- tion of the Compass and for drawing a Meridian Line . : The Mathematical Tables are , A Traverse ...
... added some observations res-- pecting the Variation of the Compass and the Attrac- tion of the Needle ; with Rules for finding the Varia- tion of the Compass and for drawing a Meridian Line . : The Mathematical Tables are , A Traverse ...
Página 13
... added together will amount to 180 Degrees ; con- sequently the two Acute Angles of a Right Angled Triangle amount to 90 Degrees , the Right Angle being also 90 . 40. The perpendicular height of a Triangle is a Line drawn from one of the ...
... added together will amount to 180 Degrees ; con- sequently the two Acute Angles of a Right Angled Triangle amount to 90 Degrees , the Right Angle being also 90 . 40. The perpendicular height of a Triangle is a Line drawn from one of the ...
Página 23
... added and subtracted according to the Rule , the result will be found to be the same as the two first Proportions . By Natural Sines . This CASE may be solved by Natural Sines , * ac- cording to the following Proportions : As Unity or 1 ...
... added and subtracted according to the Rule , the result will be found to be the same as the two first Proportions . By Natural Sines . This CASE may be solved by Natural Sines , * ac- cording to the following Proportions : As Unity or 1 ...
Página 28
... added make 14114.69 the Square Root of which is nearest 119 .茶 By Natural Sines . The Hypothenuse being found by the Square Root , the Angles may be found by Nat . Sines , according to Hyp . Leg , BC . Nat . Sine 119 the preceding CASE ...
... added make 14114.69 the Square Root of which is nearest 119 .茶 By Natural Sines . The Hypothenuse being found by the Square Root , the Angles may be found by Nat . Sines , according to Hyp . Leg , BC . Nat . Sine 119 the preceding CASE ...
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.