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 |
Dentro del libro
Resultados 1-5 de 14
Página 17
... Leg being given . Fig . 31 . Suppose the Angle at C 33 ° 15 ' , and the Leg AC 285 . Draw the Leg AC making it in ... BC 46 . Draw the Leg AB in length 38 ; from B erect a Perpendicular to C in length 46 ; and draw a Line from A to C ...
... Leg being given . Fig . 31 . Suppose the Angle at C 33 ° 15 ' , and the Leg AC 285 . Draw the Leg AC making it in ... BC 46 . Draw the Leg AB in length 38 ; from B erect a Perpendicular to C in length 46 ; and draw a Line from A to C ...
Página 20
... BC will be the Sine of the Angle at A , and AB the Sine of the Angle at C ; that is , the Legs will be Sines of their opposite An- gles . PROPOSITION II . If one Leg , AB , Fig . 45 . be described , then BC , the other Leg , be made ...
... BC will be the Sine of the Angle at A , and AB the Sine of the Angle at C ; that is , the Legs will be Sines of their opposite An- gles . PROPOSITION II . If one Leg , AB , Fig . 45 . be described , then BC , the other Leg , be made ...
Página 21
... BC , the other Leg , will be the Tan- gent and AC the Secant of the Angle at A ; and if BC be made Radius , and an Arch be described with it on the Point C , then AB will be the Tangent and AC the Secant of the Angle at C ; that is , if one ...
... BC , the other Leg , will be the Tan- gent and AC the Secant of the Angle at A ; and if BC be made Radius , and an Arch be described with it on the Point C , then AB will be the Tangent and AC the Secant of the Angle at C ; that is , if one ...
Página 22
... Leg AB . As Radius : Hyp . AC , 25 · 10.00000 1.39794 :: Sine ACB , 54 ° 30 ′ 9.91069 11.30863 10.00000 To find the Leg BC . As Radius : Hyp . AC , 25 - - 10.00000 - 1.39794 :: Sine CAB ... Leg AB , 20.35 : Leg BC , 14.52 22 TRIGONOMETRY .
... Leg AB . As Radius : Hyp . AC , 25 · 10.00000 1.39794 :: Sine ACB , 54 ° 30 ′ 9.91069 11.30863 10.00000 To find the Leg BC . As Radius : Hyp . AC , 25 - - 10.00000 - 1.39794 :: Sine CAB ... Leg AB , 20.35 : Leg BC , 14.52 22 TRIGONOMETRY .
Página 23
... Leg BC Radius , the Proportions will be : To find the Leg AB . As Secant ACB , 54 ° 30 ' : Hyp . AC , 25 :: Tangent ACB , 54 ° 30 ' : Leg AB , 20.35 To find the Leg BC . As Secant ACB , 54 ° 30 ′ : Hyp . AC , 25 :: Radius : Leg . BC ...
... Leg BC Radius , the Proportions will be : To find the Leg AB . As Secant ACB , 54 ° 30 ' : Hyp . AC , 25 :: Tangent ACB , 54 ° 30 ' : Leg AB , 20.35 To find the Leg BC . As Secant ACB , 54 ° 30 ′ : Hyp . AC , 25 :: Radius : Leg . BC ...
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.