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 13
... Trapezoid is a Figure bounded by four Sides , two of which are parallel though of unequal lengths . Fig . 19. and Fig . 20 . Note . Fig . 19. is sometimes called a Right Angled 47. A Trapezium is a Figure bounded by four un- Trapezium ...
... Trapezoid is a Figure bounded by four Sides , two of which are parallel though of unequal lengths . Fig . 19. and Fig . 20 . Note . Fig . 19. is sometimes called a Right Angled 47. A Trapezium is a Figure bounded by four un- Trapezium ...
Seite 39
... Trapezoid . RULE . Multiply half the Sum of the two parallel Sides by the perpendicular distance between them , or the Sum of the two parallel Sides by half the perpen- dicular distance ; the Product will be the Area . PROBLEM XI . To ...
... Trapezoid . RULE . Multiply half the Sum of the two parallel Sides by the perpendicular distance between them , or the Sum of the two parallel Sides by half the perpen- dicular distance ; the Product will be the Area . PROBLEM XI . To ...
Seite 57
... Trapezoids , Parallel- ograms and Triangles made by the stationary Lines , Offsets and boundary Lines , and add the ... Trapezoid AH21 : Again , add 140 the Offset H2 to 36 the Offset 13 and multiply their Sum 176 by half 286 the length ...
... Trapezoids , Parallel- ograms and Triangles made by the stationary Lines , Offsets and boundary Lines , and add the ... Trapezoid AH21 : Again , add 140 the Offset H2 to 36 the Offset 13 and multiply their Sum 176 by half 286 the length ...
Seite 58
... Trapezoid HI32 . Proceed in the same manner to calculate the Area of all the Trape- zoids , Triangles , & c . CASE X. To survey a Field by taking Offsets both to the Right and Left ; that is , within and without the Field , as oc ...
... Trapezoid HI32 . Proceed in the same manner to calculate the Area of all the Trape- zoids , Triangles , & c . CASE X. To survey a Field by taking Offsets both to the Right and Left ; that is , within and without the Field , as oc ...
Seite 59
... Trapezoids , & c . remembering to distinguish those without the stationary Lines from those which are within . Subtract the Area of those within the stationary Lines from the Area of those without , and add the Remainder to the Area ...
... Trapezoids , & c . remembering to distinguish those without the stationary Lines from those which are within . Subtract the Area of those within the stationary Lines from the Area of those without , and add the Remainder to the Area ...
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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.