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 Fine 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 ...O. D. Cooke, 1813 - 168 σελίδες |
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Αποτελέσματα 1 - 5 από τα 18.
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 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. ...
Σελίδα 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 ...
Σελίδα 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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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Able Flint Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Δημοφιλή αποσπάσματα
Σελίδα 26 - 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.
Σελίδα 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Σελίδα 8 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Σελίδα 25 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 25 - The solution of this CASE depends on the following PROPOSITION. In every Plane Triangle, As the Sum of any two Sides ; Is to their Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tangent of half the Difference between them. Add this half difference to half the Sum of the Angles and you will have the greater Angle ; and...
Σελίδα 8 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.
Σελίδα 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.
Σελίδα 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.