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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Resultados 6-10 de 46
Página 16
... given Lines , as BO , BL , LO . Fig . 29 . Draw the Line BL from B to L ; from B , with the length of the Line BO , describe an Arch as at O ; from L , with the length of the Line LO , describe another Arch to intercept the former ...
... given Lines , as BO , BL , LO . Fig . 29 . Draw the Line BL from B to L ; from B , with the length of the Line BO , describe an Arch as at O ; from L , with the length of the Line LO , describe another Arch to intercept the former ...
Página 17
... given Line CA should not be so long as the Chord of 60 ° , it may be continued beyond A , for the purpose of making the Angle . PROBLEM XI . To make a Right Angled Trian- gle , the Hypothenuse and one Leg being given . Fig . 32 ...
... given Line CA should not be so long as the Chord of 60 ° , it may be continued beyond A , for the purpose of making the Angle . PROBLEM XI . To make a Right Angled Trian- gle , the Hypothenuse and one Leg being given . Fig . 32 ...
Página 18
... given . Fig . 35 . Suppose the Side BC 160 , the Side BD 79 , and the Angle at C 29 ° 9 ' . Draw the Side BC in length 160 ; at C make an An- gle of 29 ° 9 ′ , and draw an indefinite Line through where the Degrees cut the Arch ; take 79 ...
... given . Fig . 35 . Suppose the Side BC 160 , the Side BD 79 , and the Angle at C 29 ° 9 ' . Draw the Side BC in length 160 ; at C make an An- gle of 29 ° 9 ′ , and draw an indefinite Line through where the Degrees cut the Arch ; take 79 ...
Página 19
... given Points , not lying in a Right Line , as A , B , D. Fig . 43 . Draw Lines from A to B and from B to D ; bisect those Lines by PROBLEM II . and the Point where the bisecting Lines intersect each other , as at C , will be the Centre ...
... given Points , not lying in a Right Line , as A , B , D. Fig . 43 . Draw Lines from A to B and from B to D ; bisect those Lines by PROBLEM II . and the Point where the bisecting Lines intersect each other , as at C , will be the Centre ...
Página 21
... given , the other Sides or Angles may be found by instituting Proportions , ac- cording to the following Rules ... given , which will be either Radius , Sine , Tangent or Secant ; Is to the length of the Side given ; So is the name of ...
... given , the other Sides or Angles may be found by instituting Proportions , ac- cording to the following Rules ... given , which will be either Radius , Sine , Tangent or Secant ; Is to the length of the Side given ; So is the name of ...
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.