An Elementary Treatise on Plane Trigonometry: With Its Applications to Heights and Distances, Navigation, and SurveyingJames Munroe & Company, 1835 - 97 σελίδες |
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An Elementary Treatise On Plane Trigonometry: With Its Applications to ... Benjamin Peirce Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
An Elementary Treatise on Plane Trigonometry: With Its Applications to ... Benjamin Peirce Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
An Elementary Treatise on Plane Trigonometry: With Its Applications to ... Benjamin Peirce Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a a h a¹² adding their half adjacent angles angle by subtracting angle of elevation ar.co B'AC give BB'P and B'AC column cosec cotan course X sec Departure diff difference of latitude difference of longitude dist distance EC earth equal to 169 equator EXAMPLE feet find the bearing find the cosine find the distance find the height found by 203 Given fig Given two sides half difference half sum 236 Hence hypothenuse inclined plane included angle equal Let AB fig logarithms meridian Middle Latitude miles observe the angle Parallel Sailing perpendicular Plane Sailing Problem right triangle sail from latitude ship arrives ship to sail sides AC similar triangles BB'P Solution solve the triangle subtracting the half sum of secants Suppose a ship tang Traverse Sailing triangle ABC Trigonometry whence
Δημοφιλή αποσπάσματα
Σελίδα 52 - ... earth ; or, it is the arc of the meridian, passing through the place, which is comprehended between the place and the equator. [B. p. 48.] Latitude is reckoned north and south of the equator from 0° to 90".
Σελίδα 60 - C to E, and lastly from E to F; to find the bearing and distance of F from A. Call the differences of latitude, corresponding to the 1st, 2d, 3d, and 4th tracks, the 1st, 2d, 3d, and 4th differences of latitude ; and call the corresponding departures the 1st, 2d, 3d, and 4th departures. Then we need no demonstration to prove that Diff.
Σελίδα 74 - ABC — *J [s (s — a) (s — b) (s — - c) ] ; (276) or, to find the area of a triangular field, subtract each side separately from the half sum of the sides ; and the square root of the continued product of the half sum and the three remainders is the required area.
Σελίδα 7 - J.)2 = 1 ; or, as usually written for convenience, sin2A + cos2A = l. [1] That is : The sum of the squares of the sine and the cosine of an angle is equal to unity. Formula [1] enables us to find the cosine of an angle when the sine is known, and vice versa.
Σελίδα 45 - PROBLEM III. To find the height of an INACCESSIBLE OBJECT above a HORIZONTAL PLANE. 11. TAKE TWO STATIONS IN A VERTICAL PLANE PASSING THROUGH THE TOP OF THE OBJECT, MEASURE THE DISTANCE FROM ONE STATION TO THE OTHER, AND THE ANGLE OF ELEVATION AT EACH. If the base AB (Fig.
Σελίδα 2 - ... ratios of the sides were all known, we should find it easy to calculate every case of triangles. Suppose, for instance, that in the triangle ABC (fig. 1.), the sides of which we shall denote by the small letters a, b, c, respectively opposite to the angles A, B, C, there are given the two sides b and c and the included angle A, to find the side a and the angles B and C. We are to look through the series of calculated triangles, till we find one which has an angle equal to A, and the ratio of...
Σελίδα 36 - Theorem. One side of a triangle is to the sum of the other two, as their difference is to the difference of the segments of the first side made...
Σελίδα 51 - The extremities of this axis on the surface of the earth are the terrestrial poles, one being the north pole, and the other the south pole. The...
Σελίδα 74 - Van. s sin. (s—à) sec. lat. sec. dec. where the symbol s denotes the half sum of the three sides of the triangle...