The Elements of Plane and Spherical Trigonometry |
From inside the book
Results 1-5 of 48
Page vi
... Algebraical Analysis of Angular Sections 102 Demoivre's Theorem , with Deductions The Sine and Cosine of a Multiple Angle . 105 110 The Tangent of a Multiple Angle ...... .. The Positive Integral Powers of the Cosine . The Positive ...
... Algebraical Analysis of Angular Sections 102 Demoivre's Theorem , with Deductions The Sine and Cosine of a Multiple Angle . 105 110 The Tangent of a Multiple Angle ...... .. The Positive Integral Powers of the Cosine . The Positive ...
Page v
... Algebraical Affections of Lines ...... 2 3 4 6 8 11 15 The Connection between the Circular and Angular Functions ...... 19 Miscellaneous Examples CHAPTER II . 19 The Sine and Cosine of AB , with Examples and Deductions ... 25 The Sine ...
... Algebraical Affections of Lines ...... 2 3 4 6 8 11 15 The Connection between the Circular and Angular Functions ...... 19 Miscellaneous Examples CHAPTER II . 19 The Sine and Cosine of AB , with Examples and Deductions ... 25 The Sine ...
Page vi
... Algebraical Analysis of Angular Sections Demoivre's Theorem , with Deductions The Sine and Cosine of a Multiple Angle ... The Tangent of a Multiple Angle 102 105 110 111 The Positive Integral Powers of the Cosine . The Positive Integral ...
... Algebraical Analysis of Angular Sections Demoivre's Theorem , with Deductions The Sine and Cosine of a Multiple Angle ... The Tangent of a Multiple Angle 102 105 110 111 The Positive Integral Powers of the Cosine . The Positive Integral ...
Page 10
... Algebraical or Arithmetical Sym- bols . Hence , the square or second power of sin a is ( sin a ) 3 , the cube or third power of cos a is ( cos a ) ; but it will generally be found more convenient to write sin2 a , cos3 α , as the ...
... Algebraical or Arithmetical Sym- bols . Hence , the square or second power of sin a is ( sin a ) 3 , the cube or third power of cos a is ( cos a ) ; but it will generally be found more convenient to write sin2 a , cos3 α , as the ...
Page 15
... Algebraical Signs and , according to a principle which we shall now proceed to explain . Let DAB be a straight line , along which , from any fixed point A in it , different distances are to be measured and estimated : then , if M be any ...
... Algebraical Signs and , according to a principle which we shall now proceed to explain . Let DAB be a straight line , along which , from any fixed point A in it , different distances are to be measured and estimated : then , if M be any ...
Contents
1 | |
12 | |
19 | |
25 | |
31 | |
38 | |
44 | |
50 | |
54 | |
63 | |
102 | |
103 | |
110 | |
119 | |
128 | |
138 | |
143 | |
143 | |
143 | |
163 | |
238 | |
245 | |
255 | |
259 | |
265 | |
272 | |
282 | |
297 | |
301 | |
311 | |
338 | |
Other editions - View all
The Elements of Plane and Spherical Trigonometry: Designed for the Use of ... John Hind No preview available - 2012 |
The Elements of Plane and Spherical Trigonometry: Designed for the Use of ... John Hind No preview available - 2018 |
Common terms and phrases
a+b+c angular points arithmetical Article bisecting Cambridge centre circular measure circumscribed circle College corresponding cos a cos cos² cos³ cosec cosine Demoivre's Theorem denote Diff Edition equal equation express the sine find the rest formulæ functions Geometry given greater Hence imaginary inscribed John Machin logarithms magnitude multiple nearly negative number of sides number of terms obtained perpendicular places of decimals plane prove quadrant quadratic factors quantities r₁ radii radius regular polygon respectively right angles roots sec² shew sin A cos sin A sin sin² sin³ sin³A sine and cosine solid angle solution spherical triangle straight line tan-¹ tan'a tan² tan³ tangent triangle ABC Trigonometry values vers whence
Popular passages
Page 272 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
Page 275 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled, with some additional matter occasionally interspersed, for the use of the Students of Bishop's College, Calcutta, by WH MILL, DD late Principal of Bishop's College, and Regius Professor of Hebrew in the University of Cambridge.
Page 255 - Reddenda ; or Passages with Parallel Hints for Translation into Latin Prose and Verse. Crown 8vo. 4s. 6d.
Page 276 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Page 276 - The Apology of Tertullian. With English Notes and a Preface, intended as an Introduction to the Study of Patristical and Ecclesiastical Latinity. By HA WOODHAM, LL.D. Second Edition. 8vo. 8*.
Page 261 - The Open Timber Roofs of the Middle Ages, illustrated by Perspective and Working Drawings of some of the best varieties of Church Roofs ; with Descriptive Letterpress. By R. and JA BRANDON, Royal 4to, uniform with the above, £3 3s.
Page 275 - Annotations on the Acts of the Apostles. Original and selected. Designed principally for the use of Candidates for the Ordinary BA Degree, Students for Holy Orders, &c., with College and Senate-House Examination Papers. By the Rev. TR MASKEW, MA Second Edition, enlarged. 12mo. 5».
Page 255 - The Works of Virgil, closely rendered into English Rhythm, and illustrated from British Poets of the 16th, 17th, and 18th Centuries. By the Rev. RC Singleton, MA 2 vols. post 8vo. 18s. Quintus Horatius Flaccus.
Page 276 - A TREATISE on HANNIBAL'S PASSAGE of the ALPS, In which his Route is traced over the Little Mont Cenis.
Page 280 - Treatise on Statics, containing the Theory of the Equilibrium of Forces ; and numerous Examples illustrative of the general Principles of the Science.