Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 31.
Σελίδα 12
... result is of great importance ; for if any general theorem be demonstrated with respect to the sides and angles of any spherical triangle it holds of course for the polar triangle also . Thus any such theorem will remain true when the ...
... result is of great importance ; for if any general theorem be demonstrated with respect to the sides and angles of any spherical triangle it holds of course for the polar triangle also . Thus any such theorem will remain true when the ...
Σελίδα 26
... results ; thus sin ( A + B ) cos c = cos ( a - b ) cos C ..................... .. ( 3 ) , sin ( AB ) sin c = sin ( a - b ) cos & C ......... ( 4 ) . The last four formulæ are called Gauss's Theorems , although 26 RELATIONS BETWEEN THE ...
... results ; thus sin ( A + B ) cos c = cos ( a - b ) cos C ..................... .. ( 3 ) , sin ( AB ) sin c = sin ( a - b ) cos & C ......... ( 4 ) . The last four formulæ are called Gauss's Theorems , although 26 RELATIONS BETWEEN THE ...
Σελίδα 27
... results deducible from them . 56. The formulæ in the present chapter may be applied to establish analytically various propositions respecting spherical tri- angles which either have been proved geometrically in the pre- ceding chapter ...
... results deducible from them . 56. The formulæ in the present chapter may be applied to establish analytically various propositions respecting spherical tri- angles which either have been proved geometrically in the pre- ceding chapter ...
Σελίδα 35
... results are distinguished by the same numbers as have been already applied to them in Art . 62 ; the side opposite the right angle is called the hypotenuse : Cos hyp product of cosines of sides = Cos hyp product of cotangents of angles ...
... results are distinguished by the same numbers as have been already applied to them in Art . 62 ; the side opposite the right angle is called the hypotenuse : Cos hyp product of cosines of sides = Cos hyp product of cotangents of angles ...
Σελίδα 36
... results already established . The following table shews the required agreement : in the first column are given the middle parts , in the second column the results of Napier's Rules , and in the third column the same results expressed as ...
... results already established . The following table shews the required agreement : in the first column are given the middle parts , in the second column the results of Napier's Rules , and in the third column the same results expressed as ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c angular points approximately bisecting calculated centre circle described circular measure cos b cos cos² cos³ cosb cosines Crown 8vo deduce denote equal equation Fcap Fellow of St formed formulæ given greater Hence inscribed John's College late Fellow less Let ABC limp cloth lune M.A. Fellow middle point Napier's analogies Napier's Rules obtain perpendicular plane triangle Plane Trigonometry polar triangle pole polygon preceding article primitive triangle quadrant radius regular polyhedron respectively right angles right-angled triangles School Second Edition Sermons preached shew shewn Similarly sin b sin sin² sin³ sine small circle solid angle solution sphere spherical excess spherical triangle Spherical Trigonometry St John's College suppose surface tangent tetrahedron Third Edition Treatise triangle ABC Trinity College University of Cambridge values vols
Δημοφιλή αποσπάσματα
Σελίδα 26 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Σελίδα 26 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 16 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Σελίδα 18 - Prize Essay for 1877. 8vo. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Σελίδα 14 - Crown 8vo. cloth, 6s. 6d. MORSE.— Working for God, and other Practical Sermons. By FRANCIS MORSE, MA Incumbent of St. John's, Ladywood, Birmingham. Second Edition. Fcap. 8vo.
Σελίδα 9 - THE ROMAN AND THE TEUTON. A Series of Lectures delivered before the University of Cambridge.
Σελίδα 11 - Extra fcap. 8vo. 4s. 6d. LATHAM. — The Construction of Wrought-iron Bridges. Embracing the Practical Application of the Principles of Mechanics to Wrought-iron Girder Work. By JH LATHAM, Civil Engineer. 8vo. With numerous detail Plates. Second Edition. [Preparing. LATHAM. — Black and White : A Three Months
Σελίδα 6 - THE GOLDEN TREASURY OF THE BEST SONGS AND LYRICAL POEMS IN THE ENGLISH LANGUAGE. Selected and arranged, with Notes, by FRANCIS TURNER PALGRAVE.
Σελίδα 135 - ANSTIE. — Stimulants and Narcotics, their Mutual Relations, With Special Researches on the Action of Alcohol, ^Ether, and Chloroform on the Vital Organism. By FRANCIS E. ANSTIE, MDMRCP 8vo.
Σελίδα 15 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...