The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesHarper, 1832 - 348 σελίδες |
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Σελίδα 9
... Sect . PART I. 1. Decimal Fractions .. 2. Involution and Evolu- tion ... 3. Of Logarithms . 4. Elements of Geome- Mathematical Instru- try ments Sect . Page ered and demon- 11 strated · 4. Of Offsets 22 • 5. Method of Surveying 28 by ...
... Sect . PART I. 1. Decimal Fractions .. 2. Involution and Evolu- tion ... 3. Of Logarithms . 4. Elements of Geome- Mathematical Instru- try ments Sect . Page ered and demon- 11 strated · 4. Of Offsets 22 • 5. Method of Surveying 28 by ...
Σελίδα 11
... FRACTIONS . If we suppose unity or any one thing to be divided into any assigned number of equal parts , this number is called the de- nominator ; and if we choose to take any number Sect PART I Decimal Fractions Involution and Evolu-
... FRACTIONS . If we suppose unity or any one thing to be divided into any assigned number of equal parts , this number is called the de- nominator ; and if we choose to take any number Sect PART I Decimal Fractions Involution and Evolu-
Σελίδα 47
... This corollary , with the following demonstration , is found in Leslie's Geometry , pages 32 and 406 . ABC ; wherefore the remaining interior angle AEC , or THEOREMS . 47 Mathematical Instru- ments Sect Page Page ered and demon-
... This corollary , with the following demonstration , is found in Leslie's Geometry , pages 32 and 406 . ABC ; wherefore the remaining interior angle AEC , or THEOREMS . 47 Mathematical Instru- ments Sect Page Page ered and demon-
Σελίδα 49
... sects a given line there be drawn right lines to the extremities of the given one , they with it will form an isosceles triangle . THEOREM VII . PL . 1. fig . 25 . The angle BCD at the centre of a circle ABED is double the angle BAD at ...
... sects a given line there be drawn right lines to the extremities of the given one , they with it will form an isosceles triangle . THEOREM VII . PL . 1. fig . 25 . The angle BCD at the centre of a circle ABED is double the angle BAD at ...
Σελίδα 88
... sect . 4 . 3d . By Gunter's Scale . The first and third terms in the foregoing proportions being of a like nature , and those of the second and fourth being also like to each other ; and the proportions being direct ones ; it follows ...
... sect . 4 . 3d . By Gunter's Scale . The first and third terms in the foregoing proportions being of a like nature , and those of the second and fourth being also like to each other ; and the proportions being direct ones ; it follows ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acres altitude arch azimuth base bearing blank line centre chains and links circle circumferentor co-sine column compasses contained cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance method multiplied needle nonius number of degrees object observed offsets opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal SCHOLIUM screw secant sect sector semicircle side square root station stationary distance subtract suppose survey taken tangent theo theodolite THEOREM third trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Δημοφιλή αποσπάσματα
Σελίδα 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Σελίδα 49 - 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 163 - RULE. From half the sum of the three sides subtract each side severally.
Σελίδα 41 - 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 97 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Σελίδα 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 24 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Σελίδα 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.