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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Página 13
... opposite ones being equal and the Angles Right . Fig . 16 . 43. A Rhombus is a Figure bounded by four equal Sides , but has its Angles Oblique . Fig . 17 . 44. A Rhomboides is a Figure bounded by four Sides , the opposite ones being ...
... opposite ones being equal and the Angles Right . Fig . 16 . 43. A Rhombus is a Figure bounded by four equal Sides , but has its Angles Oblique . Fig . 17 . 44. A Rhomboides is a Figure bounded by four Sides , the opposite ones being ...
Página 18
... opposite to one of them being 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 ...
... opposite to one of them being 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 ...
Página 20
... 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 Radius , and with it on the Point A an Arch TRIGONOMETRY. ...
... 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 Radius , and with it on the Point A an Arch TRIGONOMETRY. ...
Página 21
... opposite Angle , and the Hypothenuse a Secant of the same An- gle . Thus , as different Sides are made Radius , the other Sides acquire different names , which are either Sines , Tangents or Secants . As the Sides and Angles of ...
... opposite Angle , and the Hypothenuse a Secant of the same An- gle . Thus , as different Sides are made Radius , the other Sides acquire different names , which are either Sines , Tangents or Secants . As the Sides and Angles of ...
Página 25
... opposite the given Leg ; Is to the length of the Leg ; So is Unity or 1 ; To the length of the Hypoth- enuse . Or , which is the same thing , Divide the given Leg by the Natural Sine of its opposite Angle , and the Quotient will be the ...
... opposite the given Leg ; Is to the length of the Leg ; So is Unity or 1 ; To the length of the Hypoth- enuse . Or , which is the same thing , Divide the given Leg by the Natural Sine of its opposite Angle , and the Quotient will be the ...
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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.