A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
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Σελίδα 51
ABC : abc :: the square of AC to the square of ac , and also ADC : adc :: the
square of AC , to the square of ac ; therefore from equality of proportions ABC :
abc :: ADC : ad c , in like manner we may shew that ADC : adc :: EAD : e ad :
Therefore it ...
ABC : abc :: the square of AC to the square of ac , and also ADC : adc :: the
square of AC , to the square of ac ; therefore from equality of proportions ABC :
abc :: ADC : ad c , in like manner we may shew that ADC : adc :: EAD : e ad :
Therefore it ...
Σελίδα 85
Hence it is plain , that if the name of each side of the triangle be placed thereon ,
a proportion will arise to answer the same end as before : thus if AC be made the
radius , let the word radius be written thereon ; and as BC and AB , are the sines
...
Hence it is plain , that if the name of each side of the triangle be placed thereon ,
a proportion will arise to answer the same end as before : thus if AC be made the
radius , let the word radius be written thereon ; and as BC and AB , are the sines
...
Σελίδα 86
Plate V. When an angle is required we use this proportion , viz . As the side that is
made the radius , is to radius , So is the other given side , to its name . Thus if the
legs were given to find the angle A , and if AB be made the radius , it will be AB ...
Plate V. When an angle is required we use this proportion , viz . As the side that is
made the radius , is to radius , So is the other given side , to its name . Thus if the
legs were given to find the angle A , and if AB be made the radius , it will be AB ...
Σελίδα 199
... of the given sides ) and ABGF the double area of the triangle ) having the same
base AB , are in proportion as their heights AH , AF ; that is , as radius to the sign
of the given angle ; which proportion gives the operation as in the rule above .
... of the given sides ) and ABGF the double area of the triangle ) having the same
base AB , are in proportion as their heights AH , AF ; that is , as radius to the sign
of the given angle ; which proportion gives the operation as in the rule above .
Σελίδα 277
5 The plot ABCDEFGHA is proposed to be divided , geometrically , in the
proportion of 2 to 3 , by a right line from a given point in any boundary or angle
thereof , suppose the point D. Reduce the plot to the triangle cDe , as already
taught ...
5 The plot ABCDEFGHA is proposed to be divided , geometrically , in the
proportion of 2 to 3 , by a right line from a given point in any boundary or angle
thereof , suppose the point D. Reduce the plot to the triangle cDe , as already
taught ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
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 |