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 |
Im Buch
Seite 23
... Sine of 54 ° 30 ' 0.81412 Hyp . 25 407060 162824 14.51750 Leg BC 14.52 20.35300 Leg AB 20.35 Note . The third Decimal figure in the first Product * See the Introduction to the Table of Natural Sines . TRIGONOMETRY . 23 By Natural Sines. ...
... Sine of 54 ° 30 ' 0.81412 Hyp . 25 407060 162824 14.51750 Leg BC 14.52 20.35300 Leg AB 20.35 Note . The third Decimal figure in the first Product * See the Introduction to the Table of Natural Sines . TRIGONOMETRY . 23 By Natural Sines. ...
Seite 24
... Product being 7 , the preceding figure may be called one more than it is , viz . 2. And whenever in any Product , & c . there are more places of Decimals than you wish to work with , if the one at the Right Hand of the last which you ...
... Product being 7 , the preceding figure may be called one more than it is , viz . 2. And whenever in any Product , & c . there are more places of Decimals than you wish to work with , if the one at the Right Hand of the last which you ...
Seite 36
... Product will be Rods and Hundredths : Thus , 8 Chains and 64 Links make 34.56 Rods . Note . The reverse of this Rule , that is , dividing by 4 , will re- duce Rods and Decimals to Chains and Links : Thus , 105.12 Rods make 26 Chains and ...
... Product will be Rods and Hundredths : Thus , 8 Chains and 64 Links make 34.56 Rods . Note . The reverse of this Rule , that is , dividing by 4 , will re- duce Rods and Decimals to Chains and Links : Thus , 105.12 Rods make 26 Chains and ...
Seite 37
... Product will be the Area . PROBLEM VIII . To find the Area of a Rhombus er Rhomboides . RULE . Drop a Perpendicular from one of the An- gles to its opposite Side , and multiply that Side into the Perpendicular ; the Product will be the ...
... Product will be the Area . PROBLEM VIII . To find the Area of a Rhombus er Rhomboides . RULE . Drop a Perpendicular from one of the An- gles to its opposite Side , and multiply that Side into the Perpendicular ; the Product will be the ...
Seite 38
... Product by another Remainder , and that Product by the other Remainder ; the Square Root of the last Product will be the Area . EXAMPLE . Suppose a Tringle whose three Sides are 24 , 20 and 18 Chains . Demanded the Area . 24 + 20 + 1862 ...
... Product by another Remainder , and that Product by the other Remainder ; the Square Root of the last Product will be the Area . EXAMPLE . Suppose a Tringle whose three Sides are 24 , 20 and 18 Chains . Demanded the Area . 24 + 20 + 1862 ...
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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 |
Beliebte Passagen
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.