A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles. Wherein Every Thing that is Useful and Curious in that Art, is Fully Considered and Explained ... The Whole Illustrated with CopperplatesP. Wogan, 1795 - 319 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 30.
Σελίδα 18
... Sine of an Arc , is a perpendicular Line let fall from one End thereof , to a Diameter drawn to the other End : Thus HL is the right Sine of the Arc HB . The Sines on the fame Diameter encrease till they come to the Center , and fo ...
... Sine of an Arc , is a perpendicular Line let fall from one End thereof , to a Diameter drawn to the other End : Thus HL is the right Sine of the Arc HB . The Sines on the fame Diameter encrease till they come to the Center , and fo ...
Σελίδα 19
... Sine of a Quadrant becomes the Sine of 90 Degrees , or of the fourth Part of the Circle , which is 360 Degrees . 23 . The verfed Sine of an Arc is that Part of the Diameter that lies between the right Sine and the Circumference : Thus ...
... Sine of a Quadrant becomes the Sine of 90 Degrees , or of the fourth Part of the Circle , which is 360 Degrees . 23 . The verfed Sine of an Arc is that Part of the Diameter that lies between the right Sine and the Circumference : Thus ...
Σελίδα 20
... Sine , Tangent , or Secant of the Com- plement of any Arc , is called the Co - Sine , Co- Tangent , or Co - Secant of the Arc itfelf : Thus FH is the Sine , DI the Tangent , and CI the Se- cant of the Arc DH ; or they are the Co - Sine ...
... Sine , Tangent , or Secant of the Com- plement of any Arc , is called the Co - Sine , Co- Tangent , or Co - Secant of the Arc itfelf : Thus FH is the Sine , DI the Tangent , and CI the Se- cant of the Arc DH ; or they are the Co - Sine ...
Σελίδα 33
... Sine of an Arc is half the Chord of twice that Arc . For AD is the Sine of the Arc AF , ( by Def . 22. ) AF is half the Arc , and AD half the Chord AB ( by Theo . 8. ) Th.re- .fore the Cor . is plain . F 7 H E 0 . Plate I. In THEO . X ...
... Sine of an Arc is half the Chord of twice that Arc . For AD is the Sine of the Arc AF , ( by Def . 22. ) AF is half the Arc , and AD half the Chord AB ( by Theo . 8. ) Th.re- .fore the Cor . is plain . F 7 H E 0 . Plate I. In THEO . X ...
Σελίδα 34
... Sine of BAD : The fame Way may be proved , that half of AD is the Sine of ABD , and the half of AB the Sine of ADB . QE . D. THE O. XI . ; If a right Line GH cuts two other right Lines AB CD , jo as to make the alternate Angles AEF ...
... Sine of BAD : The fame Way may be proved , that half of AD is the Sine of ABD , and the half of AB the Sine of ADB . QE . D. THE O. XI . ; If a right Line GH cuts two other right Lines AB CD , jo as to make the alternate Angles AEF ...
Συχνά εμφανιζόμενοι όροι και φράσεις
40 Perches ABCD Acres alfo alſo Anſwer Area Bafe Baſe Bearing becauſe bifect blank Line Cafe Center Chains and Links Chord Circle Circumferentor Co-fine Column confequently Cyphers Decimal defcribe Departure Divifion draw drawn Eaft eaſily Eaſt faid fame fecond Field-Book Figures fince firft Meridian firft Station firſt fmall Squares Four-Pole Chains ftationary Line fuch given half the Sum Inch Index infert Inftrument Interfection laft laid Latitude lefs Logarithm Mearing Meaſure Meridian Diſtance multiplied muſt Needle North obferve Off-fets oppofite parallel Parallelogram Perches Perpendicular Piece of Ground Plate Point Prob Protraction Protractor Quotient Radius refpective right Angles right Line Scale of equal SCHOLIUM Secant Sect Semicircle ſhall Side Sine South Square Root Sun's Survey taken Tangent thefe Theo Theodolite theſe thofe thoſe thro Trapezium Triangle ABC Trigonometry Two-Pole Chains uſed Variation Weft whofe
Δημοφιλή αποσπάσματα
Σελίδα 13 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.
Σελίδα 88 - 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 56 - ... logarithm of that number. EXAMPLE. • Required, the logarithm of 365. Answer, 2.56229. And though most tables of logarithms run but to 10000, yet by them the log. of any number not exceeding 10,000,000 may be found, and on the contrary, the number to any such logarithm, thus : 1 Find the log. of the first four figures of the given number 2. Take that log. from the log: of the number next following, and note their difference, 3. Multiply that difference by the remaining figures of the given number...
Σελίδα 91 - In the triangle ABC, there is given AB 240, the angle A 46° 30', and BC 200, to find the angle C, being acute, the angle B, and the side AC.
Σελίδα 89 - ED. that is as the sum of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their difference.
Σελίδα 32 - KCML, the sum of the two parallelograms or square BCMH ; therefore the sum of the squares on AB and AC is equal to the square on BC.
Σελίδα 19 - Four 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 . That a right line may be drawn from any one given point to another. 2. That a right line may be produced or continued at pleasure. 3. That from any centre and with any radius, the circumference of a circle may be described.
Σελίδα 13 - A chord is a right line drawn from one end of an arc or arch (that is, any part of the circumference of a circle) to the other ; and is the measure of the arc. Thus the right line HG, is the measure of the arc HBG.
Σελίδα 72 - ... these three proportions, for DE we put its equal be, for AE put ab, and for AD put ac, they will become AB : ab : : AC : ас, and AB : ab : : BC : be, and AC : ac : : BC : be.
Σελίδα 285 - Then if the true and magnetic amplitudes, be both north or both south, their difference is the variation ; but if one be north and the other south, their sum is the variation ; and to know whether it be easterly or westerly, suppose the observer looking...