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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 20.
Σελίδα 22
... preceding PROPOSITIONS and RULES being duly attended to , the solution of the following CASES of Rectangular Trigonometry will be easy . CASE I. 1 The Angles and Hypothenuse given to find the Legs . Fig . 39 . In the Triangle ABC ...
... preceding PROPOSITIONS and RULES being duly attended to , the solution of the following CASES of Rectangular Trigonometry will be easy . CASE I. 1 The Angles and Hypothenuse given to find the Legs . Fig . 39 . In the Triangle ABC ...
Σελίδα 23
... preceding PROPOSITIONS and RULES being duly attended to , the solution of the following CASES of Rectangular Trigonometry will be easy . CASE I. The Angles and Hypothenuse given to find the Legs . Fig . 39 . In the Triangle ABC , given ...
... preceding PROPOSITIONS and RULES being duly attended to , the solution of the following CASES of Rectangular Trigonometry will be easy . CASE I. The Angles and Hypothenuse given to find the Legs . Fig . 39 . In the Triangle ABC , given ...
Σελίδα 24
... preceding figure may be called one more than it is , viz . 2. And , whenever in any Product , & c . there are more places of Decimals than you wish to work with , if the one at the Right Hand of the last which you wish to retain is more ...
... preceding figure may be called one more than it is , viz . 2. And , whenever in any Product , & c . there are more places of Decimals than you wish to work with , if the one at the Right Hand of the last which you wish to retain is more ...
Σελίδα 26
... preceding CASES . It is 30 . By Natural Sines . The Angle opposite the given Leg may be found by the following Proportion : As the Hypothenuse ; Is to Unity or 1 ; So is the given leg ; To the Nat . Sine of its opposite Angle . Or ...
... preceding CASES . It is 30 . By Natural Sines . The Angle opposite the given Leg may be found by the following Proportion : As the Hypothenuse ; Is to Unity or 1 ; So is the given leg ; To the Nat . Sine of its opposite Angle . Or ...
Σελίδα 27
... preceding EXAMPLE ; The Square of the Leg AB 40 is 1600 ; this subtracted from the Square of the Hypothenuse 50 which is 2500 , leaves 900 , the Square of the Leg BC , the Square Root of which is 30 , the length of Leg BC as found by ...
... preceding EXAMPLE ; The Square of the Leg AB 40 is 1600 ; this subtracted from the Square of the Hypothenuse 50 which is 2500 , leaves 900 , the Square of the Leg BC , the Square Root of which is 30 , the length of Leg BC as found by ...
Άλλες εκδόσεις - Προβολή όλων
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.