A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
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Σελίδα 91
7 . sect . 1. ) the tangent of 45 ° is equal to the radius : for this reason the line of
numbers of 10.00000 , the sine of 90 ° , and tangent of 45 ° being all equal ,
terminate at the same end of the scale ; where there are small brass centres ,
usually ...
7 . sect . 1. ) the tangent of 45 ° is equal to the radius : for this reason the line of
numbers of 10.00000 , the sine of 90 ° , and tangent of 45 ° being all equal ,
terminate at the same end of the scale ; where there are small brass centres ,
usually ...
Σελίδα 95
16. sect . 1. ) with BC 170 , from a line of equal parts draw the popped lines EF
parallel to AB ( by prob 8. sect . 1. ) the lower line of the angle , and from the point
where it cuts the other line in C , let fall a perpendicular BC ( by prob . 7. sect . 1. )
...
16. sect . 1. ) with BC 170 , from a line of equal parts draw the popped lines EF
parallel to AB ( by prob 8. sect . 1. ) the lower line of the angle , and from the point
where it cuts the other line in C , let fall a perpendicular BC ( by prob . 7. sect . 1. )
...
Σελίδα 103
9. sect . 1. ) through B draw BD parallel to AC , and make HF = DC , and join BF ;
take BI = BA , and draw IG parallel to BD or AC . It is then plain that AH will be the
sum , and HI the difference of the sides AB and BC ; and since HB = BC , and ...
9. sect . 1. ) through B draw BD parallel to AC , and make HF = DC , and join BF ;
take BI = BA , and draw IG parallel to BD or AC . It is then plain that AH will be the
sum , and HI the difference of the sides AB and BC ; and since HB = BC , and ...
Σελίδα 111
1. sect . 1 . By Calculation . From the point C , let fall the perpendicular CD on the
base AB ; it will divide the triangle into two right - angled ones , ADC and CBD ;
as well as the base AB , into the two segments , AD and DB . AC 47 BC 34 Sum ...
1. sect . 1 . By Calculation . From the point C , let fall the perpendicular CD on the
base AB ; it will divide the triangle into two right - angled ones , ADC and CBD ;
as well as the base AB , into the two segments , AD and DB . AC 47 BC 34 Sum ...
Σελίδα 112
4. of this sect . 32 To half the base , or to half the sum of the segments AD and DB
Add half their difference , now found , 8.23 Their sum will be the greatest segment
AD 40.23 Subtract , and their difference will be the least segment DB , } 23.77 ...
4. of this sect . 32 To half the base , or to half the sum of the segments AD and DB
Add half their difference , now found , 8.23 Their sum will be the greatest segment
AD 40.23 Subtract , and their difference will be the least segment DB , } 23.77 ...
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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 |