A System of Plane and Spherical Trigonometry: To which is Added a Treatise on LogarithmsJ. & J.J. Deighton, 1831 - 330 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
A System of Plane and Spherical Trigonometry: To Which Is Added A Treatise ... Mallilnckrodt Research Professor of Physics Richard Wilson, MD MS,Richard Wilson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2008 |
A System of Plane and Spherical Trigonometry: To Which Is Added a Treatise ... Richard Wilson,University of Louisville Kentucky Richard Wilson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A+B+C a+n ß a+ß a₁ B₁ base C₁ centre chord cosec cot cot diameter equal equations formula four right angles given greater or less hence hypothenuse integer intersection less than 90 Let the sides logarithm loge method Napier's rules nearly negative perpendicular plane angles plane triangle polar triangle pole PROB PROP quadrant quantity R₁ radius unity regular polyhedrons right-angled triangle Similarly sin A sin sin ß sines and cosines small circle solid angle sphere spherical angle spherical polygon spherical triangle ß₁ subtending sum the series suppose tangent trigonometric functions values vers α₁ Απ Δα ηβ π α π π
Δημοφιλή αποσπάσματα
Σελίδα 197 - IF two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise have their bases, or third sides, equal ; and the two triangles shall be equal ; and their other angles shall be equal, each to each, viz.
Σελίδα 179 - The diameter of a sphere is any straight line which passes through the centre, and is terminated both ways by the superficies of the sphere.
Σελίδα 190 - The sum of the three sides of a spherical triangle is less than the circumference of a great circle. Let ABC be any spherical triangle; produce the sides AB, AU, till they meet again in D.
Σελίδα 191 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.
Σελίδα 181 - ... poles. 751. COR. 2. All great circles of a sphere are equal. 752. COR. 3. Every great circle bisects the sphere. For the two parts into which the sphere is divided can be .so placed that they .will coincide; otherwise there would be points on the surface unequally distant from the centre. 753. COR. 4. Two great circles bisect each other. For the intersection of their planes passes through the centre, and is, therefore, a diameter of each circle. 754.
Σελίδα 252 - A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.
Σελίδα 189 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 181 - An arc of a great circle may be drawn through any two points on the surface of a sphere.
Σελίδα 45 - Law of Sines — In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Σελίδα 9 - The Versed Sine of an arc, is the part of the diameter intercepted between the arc and its sine.