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 14
... Diagonal is a Line drawn between two oppo- site Angles ; as the Line AB . Fig . 21 . 49. Figures which consist of more than four Sides are called Polygons ; if the Sides are equal to each other they are called regular Polygons , and are ...
... Diagonal is a Line drawn between two oppo- site Angles ; as the Line AB . Fig . 21 . 49. Figures which consist of more than four Sides are called Polygons ; if the Sides are equal to each other they are called regular Polygons , and are ...
Seite 39
... XI . To find the Area of a Trapezium , or irregular Four Sided Figure . RULE . Draw a Diagonal between two opposite Triangles . Find the Area of each Triangle and add Angles , which will divide the Trapezium into two SURVEYING . 39.
... XI . To find the Area of a Trapezium , or irregular Four Sided Figure . RULE . Draw a Diagonal between two opposite Triangles . Find the Area of each Triangle and add Angles , which will divide the Trapezium into two SURVEYING . 39.
Seite 40
... Diagonal ; the Product will be the Area . Note . Where the length of the four Sides and of the Diagonal is known , the Area of the two Triangles , into which the Tra- pezium is divided , may be calculated Arithmetically , accorde ing to ...
... Diagonal ; the Product will be the Area . Note . Where the length of the four Sides and of the Diagonal is known , the Area of the two Triangles , into which the Tra- pezium is divided , may be calculated Arithmetically , accorde ing to ...
Seite 42
... Diagonal between two opposite Angles ; protract the Field , and find the Area by PROBLEM XI . Or , without protracting the Field , calculate the Area according to the Note at the end of that PROBLEM . FIELD BOOK . See PLATE II . Fig ...
... Diagonal between two opposite Angles ; protract the Field , and find the Area by PROBLEM XI . Or , without protracting the Field , calculate the Area according to the Note at the end of that PROBLEM . FIELD BOOK . See PLATE II . Fig ...
Seite 43
... Diagonal AC 21.50 14.70 28 . To protract this Trapezium . Draw the Side AB the given length ; with the Diag- onal AC 28 and the Side BC 11.70 describe cross Ar- ches as at C , from A and B as Centres ; and the Point of intersection will ...
... Diagonal AC 21.50 14.70 28 . To protract this Trapezium . Draw the Side AB the given length ; with the Diag- onal AC 28 and the Side BC 11.70 describe cross Ar- ches as at C , from A and B as Centres ; and the Point of intersection will ...
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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.