A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ...Lewis Nichols, 1806 - 452 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 31
... quantities are said to be in proportion when the product of the extremes is equal to that of the means , thus if A multiplied by D , be equal to B multiplied by C , then A is said to be to B as C is to D. POSTULATES OR PETITIONS . 1 ...
... quantities are said to be in proportion when the product of the extremes is equal to that of the means , thus if A multiplied by D , be equal to B multiplied by C , then A is said to be to B as C is to D. POSTULATES OR PETITIONS . 1 ...
Σελίδα 33
... quantity which it pre- cedes to be subtracted . The sign × , denotes the quantities between them to be multiplied ... quantity is repeated , and they are written A : B :: B : C. E GEOMETRICAL THEOREMS . Plate I. THEOREM I. If a right ...
... quantity which it pre- cedes to be subtracted . The sign × , denotes the quantities between them to be multiplied ... quantity is repeated , and they are written A : B :: B : C. E GEOMETRICAL THEOREMS . Plate I. THEOREM I. If a right ...
Σελίδα 48
... quantities con- nected with the sign the conclusion is always drawn from the first two and last two proportion- als . THEOREM XIX . Triangles ABC , DEF , standing upon equal ba- ses AB and DE , are to each other as their alti- tudes CG ...
... quantities con- nected with the sign the conclusion is always drawn from the first two and last two proportion- als . THEOREM XIX . Triangles ABC , DEF , standing upon equal ba- ses AB and DE , are to each other as their alti- tudes CG ...
Σελίδα 62
... quantity of the given angle , from the same scale of chords , and lay it on that circle from a to b , through A and b , draw the line ABC ; and the angle A will be an an- gle of 45 degrees , as required . If the given angle were more ...
... quantity of the given angle , from the same scale of chords , and lay it on that circle from a to b , through A and b , draw the line ABC ; and the angle A will be an an- gle of 45 degrees , as required . If the given angle were more ...
Σελίδα 63
... quantity of the angle BAC 48 degrees , as required ; this is plain from def . 19 . PROBLEM XVIII . To make a triangle BCE equal to a given qua- drilateral figure ABCD . fig . 6 . Draw the diagonal AC , and parallel to it ( by prob . 8 ...
... quantity of the angle BAC 48 degrees , as required ; this is plain from def . 19 . PROBLEM XVIII . To make a triangle BCE equal to a given qua- drilateral figure ABCD . fig . 6 . Draw the diagonal AC , and parallel to it ( by prob . 8 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-sine Co-tang Tang column contained cyphers decimal decimal fraction diameter difference distance line divided divisor draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument Lat Dep Lat latitude line of numbers logarithm measure meridian distance multiplied needle number of degrees off-sets parallel parallelogram perpendicular piece of ground plane Plate prob PROBLEM proportion protractor quotient radius right angles right line scale of equal SCHOLIUM Secant second station sect semicircle side sights sine square root stationary distance sun's suppose survey taken tance tangent thence theo theodolite THEOREM trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation whence
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.