A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
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Σελίδα 28
The sine , tangent , or secant of the complement of any arc , is called the co - sine
, co - tangent , or co - secant of the arc itself : thus FH is the sine , DI the tangent ,
and CI the secant of the arc DH : or they are the co - sine , co - tangent , or co ...
The sine , tangent , or secant of the complement of any arc , is called the co - sine
, co - tangent , or co - secant of the arc itself : thus FH is the sine , DI the tangent ,
and CI the secant of the arc DH : or they are the co - sine , co - tangent , or co ...
Σελίδα 52
The co - sine of an arc is to the sine , as radius is to the tangent . 2. Radius is to
the tangent of an arc , as the cosine of it is to the sine . 3. The sine of an arc is to
its co - sine , as radius to its co - tangent . 4. Or radius is to the co - tangent of an ...
The co - sine of an arc is to the sine , as radius is to the tangent . 2. Radius is to
the tangent of an arc , as the cosine of it is to the sine . 3. The sine of an arc is to
its co - sine , as radius to its co - tangent . 4. Or radius is to the co - tangent of an ...
Σελίδα 80
The co - sine taken from the sine added to 90 , or radius , which is 10.00000 , the
remainder is the tangent . ( By part 1. theo . 24. ) EXAMPLE . 1. Suppose the
tangent of 41o . 20 ' , was defaced , but the sine and co - sine of it visible . From
the ...
The co - sine taken from the sine added to 90 , or radius , which is 10.00000 , the
remainder is the tangent . ( By part 1. theo . 24. ) EXAMPLE . 1. Suppose the
tangent of 41o . 20 ' , was defaced , but the sine and co - sine of it visible . From
the ...
Σελίδα 81
From twice the radius , which is 20.00000 , take the co - tangent , the remainder is
the co - tangent , ( by theo . 24. part . 5. ) EXAMPLE . Required , the tangent of
29o . 50 ' being defaced , as also the sine and co - sine defaced , by the co ...
From twice the radius , which is 20.00000 , take the co - tangent , the remainder is
the co - tangent , ( by theo . 24. part . 5. ) EXAMPLE . Required , the tangent of
29o . 50 ' being defaced , as also the sine and co - sine defaced , by the co ...
Σελίδα 425
Ártificial Sines , Tang . and Sec . 17 Deg . 425 o 1 51376 532831 17 10 128731
47 02006 52670 42 C 21 02022 525481 39 525081 38 52266 52226 97946 M.
sine . Co - sine . Tang . Co - tang / Secant . Co - sec . 9.46593 ) 998060 9.48534
...
Ártificial Sines , Tang . and Sec . 17 Deg . 425 o 1 51376 532831 17 10 128731
47 02006 52670 42 C 21 02022 525481 39 525081 38 52266 52226 97946 M.
sine . Co - sine . Tang . Co - tang / Secant . Co - sec . 9.46593 ) 998060 9.48534
...
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Συχνά εμφανιζόμενοι όροι και φράσεις
acres angle Answer base bearing called centre chains chord circle Co-sec Co-sine Co-tang column contained decimal difference direct distance divided division draw drawn east edge equal EXAMPLE feet field field-book figures four four-pole fourth give given greater ground half height Hence inches laid land Lat Dep length less logarithm manner measure method multiplied needle object observe opposite parallel perches perpendicular plain plane Plate pole prob PROBLEM proportion quantity quotient radius reduce remainder right angles right line root scale Secant sect side sights sine square station suppose survey taken Tang tangent theo THEOREM third triangle triangle ABC true turn variation whence whole
Δημοφιλή αποσπάσματα
Σελίδα 25 - 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 207 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 40 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 31 - Figures which consist of more than four sides are called polygons ; if the sides are all equal to each other, they are called regular polygons. They sometimes are named from the number of. their sides, as a five-sided figure is called a pentagon, one of six sides a hexagon, &"c.
Σελίδα 31 - ... they are called regular polygons. They sometimes are named from the number of their sides, as a five-sided figure is called a pentagon, one of. six sides a hexagon, &c. but if their sides are not equal to each other, then they are called irregular polygons, as an irregular pentagon, hexagon, &c.
Σελίδα 45 - The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other; the square root of the difference of the squares of the hypothenuse and given side will be the required side.
Σελίδα 265 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°.
Σελίδα 32 - Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders are equal.
Πληροφορίες βιβλιογραφίας
| Τίτλος | A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
| Συγγραφέας | Robert Gibson |
| Έκδοση | 3 |
| Εκδότης | Lewis Nichols, 1806 |
| Πρωτότυπο από | το Πανεπιστήμιο του Μίτσιγκαν |
| Ψηφιοποιήθηκε στις | 26 Μάιος 2007 |
| Μέγεθος | 452 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |