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
... left to the judg- ment of the practitioner , who , if he is well acquainted with the general principles of his Art , will readily learn to apply those principles to particular cases . The primary design of this treatise is to teach com ...
... left to the judg- ment of the practitioner , who , if he is well acquainted with the general principles of his Art , will readily learn to apply those principles to particular cases . The primary design of this treatise is to teach com ...
Página 39
... Left hand figure of the Index , or subtracting 10 , without the trouble of setting down the Cyphers . By Natural Sines . Multiply the two given Sides into each other , and that Product by the Natural Sine of the given Angle ; the last ...
... Left hand figure of the Index , or subtracting 10 , without the trouble of setting down the Cyphers . By Natural Sines . Multiply the two given Sides into each other , and that Product by the Natural Sine of the given Angle ; the last ...
Página 46
... Left hand , West : Lay the Course to the Right or Left of the Meridian Line , according as it is East or West ; and from the upper or lower part of the Line , according as it is North or South . In all protractions , if the end of the ...
... Left hand , West : Lay the Course to the Right or Left of the Meridian Line , according as it is East or West ; and from the upper or lower part of the Line , according as it is North or South . In all protractions , if the end of the ...
Página 53
... Left hand figure , without the trouble of putting down the Cyphers and subtracting . Triangle aAB . aA , 8.70 Triangle aCD . 0.93952 aC , 11.40 1.05690 aB , 10 · 1.00000 aD , 10.50 1.02119 Sine AaB , 80 ° 9.99335 Sine CaD , 78 ° 9.99040 ...
... Left hand figure , without the trouble of putting down the Cyphers and subtracting . Triangle aAB . aA , 8.70 Triangle aCD . 0.93952 aC , 11.40 1.05690 aB , 10 · 1.00000 aD , 10.50 1.02119 Sine AaB , 80 ° 9.99335 Sine CaD , 78 ° 9.99040 ...
Página 58
... Left ; that is , within and without the Field , as oc- casion shall require , in consequence of the stationary Lines crossing the boundary Lines : Also , by Intersections , that is , taking the Bearing of an inaccessible Corner from two ...
... Left ; that is , within and without the Field , as oc- casion shall require , in consequence of the stationary Lines crossing the boundary Lines : Also , by Intersections , that is , taking the Bearing of an inaccessible Corner from two ...
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.