A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
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Σελίδα 19
The Extraction of the SQUARE ROOT . A SQUARE number is the product of a
number multiplied by itself ; and the number so multiplied , is called the root of
that square ; thus 9 is the square of 3 , and 3 is the root of 9 , for 3 multiplied by 3
is 9 .
The Extraction of the SQUARE ROOT . A SQUARE number is the product of a
number multiplied by itself ; and the number so multiplied , is called the root of
that square ; thus 9 is the square of 3 , and 3 is the root of 9 , for 3 multiplied by 3
is 9 .
Σελίδα 22
Robert Gibson. If to the square of this root we add the remaining figures 20551 ;
we shall have our given square , whose root was required . What is the square
root of 16007.3104 ? Answer 126.52 . What is the square root of 348.17320836 ?
Robert Gibson. If to the square of this root we add the remaining figures 20551 ;
we shall have our given square , whose root was required . What is the square
root of 16007.3104 ? Answer 126.52 . What is the square root of 348.17320836 ?
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 182
After the same manner it will appear , that the oblong ADCB will contain three
times as many squares as the side AB contains equal parts ; and in general , that
every rectangular parallelogram , whether square or oblong , contains as many ...
After the same manner it will appear , that the oblong ADCB will contain three
times as many squares as the side AB contains equal parts ; and in general , that
every rectangular parallelogram , whether square or oblong , contains as many ...
Σελίδα 183
resting to the left are acres , because 10 square four - pote chains make an acre ,
and the remaining figures are decimal parts of an acre . Multiply the five figures to
the right by 4 , cutting 5 figures from the product , and if any figure be to the left ...
resting to the left are acres , because 10 square four - pote chains make an acre ,
and the remaining figures are decimal parts of an acre . Multiply the five figures to
the right by 4 , cutting 5 figures from the product , and if any figure be to the left ...
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 |