Elements of Plane and Spherical Trigonometry: With the First Principles of Analytical GeometrySimms and McIntyre, 1844 - 126 σελίδες |
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Elements of Plane and Spherical Trigonometry: With the First Principles of ... James B. 1808-1883 Thomson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Plane and Spherical Trigonometry: With the First Principles of ... James B. Thomson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Elements of Plane and Spherical Trigonometry: With the First Principles of ... James B. Thomson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A-sin adjacent angles altitude analogy Answ axis azimuth B-cos become Belfast called centre circle co-ordinates coefficient complement computed consequently contained angle cos S-B cos(A+B cos² cosb cosc cosec cosine cotangent declination denote derived distance diurnal motion dividing drawn ecliptic equal equation find the latitude formulas given angle half the sum Hence horizon hour angle hour lines hypotenuse intersection investigate logarithms longitude means meridian method negative numerator and denominator obliquity obtain opposite angles parallel perpendicular plane triangle polar pole positive quadrant quantities radius resolving result right angles right ascension rightangled triangle secant second member similar manner sin B sin sin² sinb sinc sine sphere spherical excess spherical triangle spherical trigonometry substituting subtracting sum or difference sun's taking tangent third three angles three sides triangle ABC values whence y=ax+b
Δημοφιλή αποσπάσματα
Σελίδα 126 - SOLUTION, from solvo, to loosen ; in chymical language, any fluid which contains another substance dissolved in, and intimately mixed with it. SOLVENT ; any substance which will dissolve another. SPECIFIC, from species, a particular sort or kind ; that...
Σελίδα 9 - To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles themselves.
Σελίδα 9 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Σελίδα 61 - The area of a spherical triangle is proportional to the excess of the sum of its angles over two right angles (called the spherical excess).
Σελίδα 76 - ... and what is the highest latitude attained by a ship sailing from one to the other on the arc of a great circle? (Fig. 92.) Arts. Difference of distances, 737 "6 nautical miles; highest lat. 60° 54
Σελίδα 29 - That is. the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Σελίδα 19 - It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities.
Σελίδα 25 - A spherical triangle is a part of the surface of a sphere comprehended by three arcs of great circles. These arcs, which are called the sides of the triangle, are always supposed to be smaller each than a semicircumference. The angles which their planes make with each other are the angles of the triangle.
Σελίδα 92 - Given the altitude (a), the base (6), and (s) the sum of the sides of a plane triangle, to find the sides. Let ABC be a triangle whose base BC=6, and altitude a. Let DB = x, then AB= </a?+xi; also DC=*— z.-.AC=V^ Now AB+AC=s Square both sides, ... la2+(b—x)1\*=s—\d'-irxi\*. And =f— 2s. Or If— 24z=s2— 2...
Σελίδα 72 - We also know that the elevation of the pole above the horizon is equal to the latitude of the place.