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 10
... Arch or Arc of a Circle is any part of the Circumference ; as BF or FD , Fig . 5 ; and is said to be an Arch of so many Degrees as it contains parts of 560 into which the whole Circle is divided . 16. A Chord is a Right Line drawn from ...
... Arch or Arc of a Circle is any part of the Circumference ; as BF or FD , Fig . 5 ; and is said to be an Arch of so many Degrees as it contains parts of 560 into which the whole Circle is divided . 16. A Chord is a Right Line drawn from ...
Página 11
... Arch less than a Semicircle ; as BCD or ACD . Fig . 6 . 20. 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 less than a Semicircle ; as BCD or ACD . Fig . 6 . 20. 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 ...
Página 12
... 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 - Tangent and Co - Secant of the Arch BH . Fig . 7 . 28. The ...
... 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 - Tangent and Co - Secant of the Arch BH . Fig . 7 . 28. The ...
Página 14
... Arch C. A more convenient way to draw parallel Lines is with a parallel Rule . * PROBLEM II . To bisect a given Line ... Arch above and below the Line , as at C and D ; with the same distance , and one foot in B des- cribe Arches to ...
... Arch C. A more convenient way to draw parallel Lines is with a parallel Rule . * PROBLEM II . To bisect a given Line ... Arch above and below the Line , as at C and D ; with the same distance , and one foot in B des- cribe Arches to ...
Página 15
... Arch to cut the given Line in two places , as at F and G ; upon F and G describe two Arches to intersect each other below the Line as at D ; lay a Rule from C to D and draw a Line from C to the given Line . Perpendiculars may be more ...
... Arch to cut the given Line in two places , as at F and G ; upon F and G describe two Arches to intersect each other below the Line as at D ; lay a Rule from C to D and draw a Line from C to the given Line . Perpendiculars may be more ...
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.