The Elements of Plane and Spherical Trigonometry |
From inside the book
Results 1-5 of 82
Page vi
... Inscribed and Circumscribed Circles 56 Regular Polygons ........ 57 The Circumference and Area of a Circle . 59 CHAPTER IV . The Nature of Logarithms ..... 63 The Properties of Logarithms .. 64 Logarithmic Computation , and Subsidiary ...
... Inscribed and Circumscribed Circles 56 Regular Polygons ........ 57 The Circumference and Area of a Circle . 59 CHAPTER IV . The Nature of Logarithms ..... 63 The Properties of Logarithms .. 64 Logarithmic Computation , and Subsidiary ...
Page vi
... Inscribed and Circumscribed Circles . 56 Regular Polygons ....... 57 The Circumference and Area of a Circle 59 CHAPTER IV . The Nature of Logarithms .... The Properties of Logarithms Logarithmic Computation , and Subsidiary Angles ...
... Inscribed and Circumscribed Circles . 56 Regular Polygons ....... 57 The Circumference and Area of a Circle 59 CHAPTER IV . The Nature of Logarithms .... The Properties of Logarithms Logarithmic Computation , and Subsidiary Angles ...
Page 56
... inscribed and circumscribed Circles , in terms of the sides . ( 1 ) The Inscribed Circle . If o be the centre of the circle inscribed in the triangle ABC , we have oa = ob = oc = the radius r : C a = A and S AoB + △ AoC + A BOC = 1 cr ...
... inscribed and circumscribed Circles , in terms of the sides . ( 1 ) The Inscribed Circle . If o be the centre of the circle inscribed in the triangle ABC , we have oa = ob = oc = the radius r : C a = A and S AoB + △ AoC + A BOC = 1 cr ...
Page 57
... inscribed and circumscribed Circles . Let AB , BC be two adjacent sides of the polygon each = a : bisect the angles at A and B by the straight lines AO , BO meeting in O : then , if REGULAR POLYGONS . 57 Regular Polygons.
... inscribed and circumscribed Circles . Let AB , BC be two adjacent sides of the polygon each = a : bisect the angles at A and B by the straight lines AO , BO meeting in O : then , if REGULAR POLYGONS . 57 Regular Polygons.
Page 58
... inscribed in , and circumscribed about , a given circle . ( 1 ) The Inscribed Polygon . a B Let r be the radius of the circle , n the number of sides of the polygon : then , the angle AOB subtended at the centre of the circle by each ...
... inscribed in , and circumscribed about , a given circle . ( 1 ) The Inscribed Polygon . a B Let r be the radius of the circle , n the number of sides of the polygon : then , the angle AOB subtended at the centre of the circle by each ...
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.