A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
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Σελίδα 40
Hence an angle in a segment greater than a semicircle is less than a right angle ;
thus ADB is measured by half the arc AB , but as the arc AB is less than a
semicircle , therefore half the arc AB , or the angle ADB is less than half a
semicircle ...
Hence an angle in a segment greater than a semicircle is less than a right angle ;
thus ADB is measured by half the arc AB , but as the arc AB is less than a
semicircle , therefore half the arc AB , or the angle ADB is less than half a
semicircle ...
Σελίδα 103
Again EBC being half HBC , will be also half the sum of the angles A and C ( by
theo . 4. sect 1. ) also , since HB , HF , and the included angle H , are severally
equal to BC , CD , and the included angle BCD , therefore ( by theo . 6. sect . 1. )
...
Again EBC being half HBC , will be also half the sum of the angles A and C ( by
theo . 4. sect 1. ) also , since HB , HF , and the included angle H , are severally
equal to BC , CD , and the included angle BCD , therefore ( by theo . 6. sect . 1. )
...
Σελίδα 105
Plate V. it is plain , that AC is the sum , and DB the difference of the two quantities
; and AE or EC , their half sum , and DE or EB their half difference . Now if to AE
we add EB , we shall have AB , the greatest quantity ; and if from EC we take EB ...
Plate V. it is plain , that AC is the sum , and DB the difference of the two quantities
; and AE or EC , their half sum , and DE or EB their half difference . Now if to AE
we add EB , we shall have AB , the greatest quantity ; and if from EC we take EB ...
Σελίδα 197
FA ~ HA CH , that is , the half sum multiplied continually into the differences
between the half sum and each side , will be the square of the area of the triangle
, and its root the area . Q. E. D. Hence the following problem will be evident .
FA ~ HA CH , that is , the half sum multiplied continually into the differences
between the half sum and each side , will be the square of the area of the triangle
, and its root the area . Q. E. D. Hence the following problem will be evident .
Σελίδα 242
As before half the sum of Bb , and Cc multiplied by bc , will be the area of the
trapezium bBCC ; after the same manner , half the sum of Cc , and Dd , multiplied
by cd , will give the area of the trapezium CDd ; and again , half the sum of Dd ,
and ...
As before half the sum of Bb , and Cc multiplied by bc , will be the area of the
trapezium bBCC ; after the same manner , half the sum of Cc , and Dd , multiplied
by cd , will give the area of the trapezium CDd ; and again , half the sum of Dd ,
and ...
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 |