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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Σελίδα iv
... half the size occupied by others ; and any inconvenience which might result from such reduction is obviated by the insertion of a Table of Natural Sines , not usually found in works of this nature , The Surveyor who shall own this will ...
... half the size occupied by others ; and any inconvenience which might result from such reduction is obviated by the insertion of a Table of Natural Sines , not usually found in works of this nature , The Surveyor who shall own this will ...
Σελίδα 11
... half the Chord of double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The Sines on the same Diameter increase in length till they come to the Centre , and so become the Radius . Hence it is plain that the Radius CD Fig ...
... half the Chord of double the Arch ; thus HL is the Sine of the Arch HB . Fig . 7 . 21. The Sines on the same Diameter increase in length till they come to the Centre , and so become the Radius . Hence it is plain that the Radius CD Fig ...
Σελίδα 14
... half the given Line AB , and with one foot in A describe an Arch above and below the Line , as at C and D ; with the same distance , and one foot in B des- cribe Arches to cross the former ; lay a Rule from C to D , and where the Rule ...
... half the given Line AB , and with one foot in A describe an Arch above and below the Line , as at C and D ; with the same distance , and one foot in B des- cribe Arches to cross the former ; lay a Rule from C to D , and where the Rule ...
Σελίδα 24
... half . As the Table of Artificial or Logarithmic Sines , Tangents and Secants , contained in this Book , is calcu- lated only for every 5 Minutes of a Degree , whenever any Question is to be solved where the Minutes cannot ⚫ be found ...
... half . As the Table of Artificial or Logarithmic Sines , Tangents and Secants , contained in this Book , is calcu- lated only for every 5 Minutes of a Degree , whenever any Question is to be solved where the Minutes cannot ⚫ be found ...
Σελίδα 31
... half the Sum of the two opposite Angles ; To the Tan- gent 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 subtract the half Difference In the ...
... half the Sum of the two opposite Angles ; To the Tan- gent 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 subtract the half Difference In the ...
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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.