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 iv
... less than half the size occupied by others ; and any inconvenience which might result from such reduction is obviated by the insertion of a Table of Natural Sines , not usually found in works of this nature , The Surveyor who shall own ...
... less than half the size occupied by others ; and any inconvenience which might result from such reduction is obviated by the insertion of a Table of Natural Sines , not usually found in works of this nature , The Surveyor who shall own ...
Página 9
... are called Right Angles ; and the Line CD is said to be Perpendicular to the other Line . 8. An Obtuse Angle is greater than a Right Angle ; as ADE . Fig . 3 . 9. An Acute Angle is less than a Right Angle B GEOMETRY. ...
... are called Right Angles ; and the Line CD is said to be Perpendicular to the other Line . 8. An Obtuse Angle is greater than a Right Angle ; as ADE . Fig . 3 . 9. An Acute Angle is less than a Right Angle B GEOMETRY. ...
Página 10
... less than a Right Angle ; as EDB . Fig . 3 . Note . When three letters are used to express an Angle , the middle letter denotes the angular Point . 10. A Circle is a round Figure , bounded by a Line equally distant from some Point ...
... less than a Right Angle ; as EDB . Fig . 3 . Note . When three letters are used to express an Angle , the middle letter denotes the angular Point . 10. A Circle is a round Figure , bounded by a Line equally distant from some Point ...
Página 11
... less than a Semicircle ; as BCD or ACD . Fig . 6 . 20. The Sine of an Arch is a Line drawn from one end of the Arch , perpendicular to the Radius or Diam- eter drawn through the other end : " Or , it is half the Chord of double the Arch ...
... less than a Semicircle ; as BCD or ACD . Fig . 6 . 20. The Sine of an Arch is a Line drawn from one end of the Arch , perpendicular to the Radius or Diam- eter drawn through the other end : " Or , it is half the Chord of double the Arch ...
Página 12
... less accord- ing to the opening of the Lines which form it , or as the Arch intercepted by those Lines contains more or fewer Degrees . Hence it may be observ- ed , that the bigness of an Angle does not depend at all upon the length of ...
... less accord- ing to the opening of the Lines which form it , or as the Arch intercepted by those Lines contains more or fewer Degrees . Hence it may be observ- ed , that the bigness of an Angle does not depend at all upon the length of ...
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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.