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 Seiten |
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Seite 10
... number of Degrees , a Degree is not to be ac- counted a quantity of any determinate length , as so many Inches or ... Degrees as it contains parts of 560 into which the whole Circle is divided . 16. A Chord is a Right Line drawn from one ...
... number of Degrees , a Degree is not to be ac- counted a quantity of any determinate length , as so many Inches or ... Degrees as it contains parts of 560 into which the whole Circle is divided . 16. A Chord is a Right Line drawn from one ...
Seite 12
... Degrees as the Arch does . Note . An Angle is esteemed greater or less accord- ing to the opening of the Lines which ... number of Degrees , whether the Radius be longer or shorter . 29. The Sine , Tangent or Secant of an Arch is also ...
... Degrees as the Arch does . Note . An Angle is esteemed greater or less accord- ing to the opening of the Lines which ... number of Degrees , whether the Radius be longer or shorter . 29. The Sine , Tangent or Secant of an Arch is also ...
Seite 13
... 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 Angles to its ...
... 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 Angles to its ...
Seite 15
... same Scale take the given number of Degrees , 36 , and lay it on the Arch from C to D ; draw a Line from B through D , and the Angle at B PROBLEM VII . To make an Obtuse Angle , sup- will be an Angle of 36 Degrees . GEOMETRY . 15.
... same Scale take the given number of Degrees , 36 , and lay it on the Arch from C to D ; draw a Line from B through D , and the Angle at B PROBLEM VII . To make an Obtuse Angle , sup- will be an Angle of 36 Degrees . GEOMETRY . 15.
Seite 16
... Angle , sup- pose of 110 Degrees . Fig . 28 . Take a Chord of 60 Degrees as before , and describe an Arch greater ... number of Degress cuts the Arch draw the Line CA 25 Rods , drop a Perpendicular from A to B , and the which must be ...
... Angle , sup- pose of 110 Degrees . Fig . 28 . Take a Chord of 60 Degrees as before , and describe an Arch greater ... number of Degress cuts the Arch draw the Line CA 25 Rods , drop a Perpendicular from A to B , and the which must be ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Keine Leseprobe verfügbar - 2017 |
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Seite 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.
Seite 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.