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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 63.
Σελίδα 11
... Sine of an Arch is a Line drawn from one end of the Arch , perpendicular to the Radius or Diam- eter drawn through the other end : " Or , it is half the Chord of double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The ...
... Sine of an Arch is a Line drawn from one end of the Arch , perpendicular to the Radius or Diam- eter drawn through the other end : " Or , it is half the Chord of double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The ...
Σελίδα 12
... Sine , Tangent or Secant of the Comple- ment of any Arch is called the Co - Sine , Co - Tangent or Co - Secant of the Arch ; thus FH is the Sine , DI the Tangent and CI the Secant of the Arch DH ; or they are the Co - Sine , Co ...
... Sine , Tangent or Secant of the Comple- ment of any Arch is called the Co - Sine , Co - Tangent or Co - Secant of the Arch ; thus FH is the Sine , DI the Tangent and CI the Secant of the Arch DH ; or they are the Co - Sine , Co ...
Σελίδα 20
... 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 Radius , and with ...
... 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 Radius , and with ...
Σελίδα 21
... Sine , Tangent or Secant ; Is to the length of the Side given ; So is the name of the Side required , which also will be either Radius , Sine , Tangent or Secant ; To the length of the Side required . RULE II . To find an Angle one of ...
... Sine , Tangent or Secant ; Is to the length of the Side given ; So is the name of the Side required , which also will be either Radius , Sine , Tangent or Secant ; To the length of the Side required . RULE II . To find an Angle one of ...
Σελίδα 22
... 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 , 35 ° 30 ′ 9.76395 11.16189 10.00000 : Leg AB , 20.35 · 1.30863 : Leg BC , 14. 52 · 1.16189 1 Note . When ...
... 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 , 35 ° 30 ′ 9.76395 11.16189 10.00000 : Leg AB , 20.35 · 1.30863 : Leg BC , 14. 52 · 1.16189 1 Note . When ...
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System of Geometry and Trigonometry: Together with a Treatise on Surveying ... Abel Flint Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
System of Geometry and Trigonometry: Together With a Treatise on Surveying ... Abel Flint Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 27 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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.
Σελίδα 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.
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 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.
Σελίδα 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.
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.
Σελίδα 23 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.