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Trigonometry (X)

       
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The Elements of Plane Trigonometry

By: Durfee, William Pitt, 1855

...RFEE Classic Literature Collection World Public Library.org PLANE TRIGONOMETRY Title: THE ELEMENTS OF PLANE TRIGONOMETRY Author: WILLIAM... ...... ...ew: First, to give the student an elementary knowledge of the science of Trigonometry, together with an introduction to the theory of functions as ... ...Three Sides . 98 APPENDIX Table of Ilnportant }'ormulas . 103 • PLANE TRIGONOMETRY CHAPTER I ON COMPUTATION 1. Suppose I measure this table an... ...garithms, to 7r, and to the various trigonometric ratios. 1 • 2 PLANE TRIGONOMETRY It is plain that an error of a foot_ in a mile is of far less... ...sor as many places to the right as are necessary to make the \ 4 PLANE TRIGONOMETRY 23.67 divisor an integer. The left-hand figure of 6123·11443... ... ] = t [log a + 2 log b - 4 log c] by III by II by I by III 6 PLANE TRIGONOMETRY 4. What is the logarithm of 22738 ? Since the number lies be... ... found; the result is the Inantissa of the fi ve­ figure number. 8 PLANE TRIGONOMETRY In most tables the multiplication spoken of above is per­ for... ...t0111S himself to making rough estimates of results. "rhen the 10 PLANE TRIGONOMETRY nature of the subject permits, these estimates may be obtain...

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The Elements of Plane Trigonometry

By: Durfee, William Pitt, 1855

...RFEE Classic Literature Collection World Public Library.org PLANE TRIGONOMETRY Title: THE ELEMENTS OF PLANE TRIGONOMETRY Author: WILLIAM... ...... ...ew: First, to give the student an elementary knowledge of the science of Trigonometry, together with an introduction to the theory of functions as ... ... 66. Three Sides . 98 APPENDIX Table of Important Formulas . 103 PLANE TRIGONOMETRY CHAPTER I ON COKPUTATION 1. Suppose I measure this table an... ...logarithms, to rrr, and to the various trigonometric ratios. 1 2 PLANE TRIGONOMETRY It is plain that an error of a foot in a mile is of far less ... ...visor as many places to the right as are necessary to make the 4 PLANE TRIGONOMETRY 23.67 divisor an integer. The left-hand figure of 6123·11443... ...i [log a + 2 log b - 4 log 0] by III by II by I by III , \ 6 PLANE TRIGONOMETRY 4. What is the logarithm of 22138 ? Since the number lies be... ...st found; the result is the mantissa of the five­ figure number. 8 PLANE TRIGONOMETRY In most tables the multiplication spoken of above is per­ for... ...customs himself to making rough estimates of results. When the 10 PLANE TRIGONOMETRY nature of the subject permits, these estimatEs may be obtain...

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Plane Trigonometry

By: Durell, Fletcher, 1859-1946

...lassic Literature Collection World Public Library.org Title: PLANE TRIGONOMETRY Author: FLETCHER DURELL Language: English Subject: Fiction, L... ...now in the gallery of the University of Edinburgh. Reproduced for Durell's Trigonometry by pennission of the University authorities. (See page 169.) ... ...ometry by pennission of the University authorities. (See page 169.) PLANE TRIGONOMETRY BY FLETCHER DURELL, Ph.D. HEAD OF THE MATHEMATICAL DEPARTMEKT ... ...cloth 75 cents Plane and Solid Geometry 514 pages, 12mo, cloth $1.25 Plane Trigonometry 184 pages, 8vo, cloth $1.00 Plane Trigonometry and Tables 298 ... ...ne Trigonometry and Tables 298 pages, Svo, cloth $1.25 Plane and Spherical Trigonometry, with Tables 361 pages, Svo, cloth ... . $1.40 Plane Trigonome... ... with Surveying and Tables 390 pages, Svo, cloth $1.40 Plane and Spherical Trigonometry, with Surveying and Tables 448 pages, Svo, cloth $1.50 Logarit... ...)rinciples pre- sented. Not only is the fundamental source of new power in Trigonometry frequently emphasized, but each new process is taken up, not a... ...Computation of Tables. Trigonometric Series .... 157 CHAPTER XI History of Trigonometry 162 5 PLAJS^E TRIGONOMETRY CHAPTER I LOGARITHMS 1. The logari... ...iplying two numbers which are exact powers of 10, as 1000 and 100. Thus 7 TRIGONOMETRY 1000 = 10' • 100 = 10^ hence 1000 x 100= 10°= 100,000, the mul...

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Elements of Trigonometry

By: De Morgan, Augustus, 1806-1871

...d Public Library.org AND TRIGONOMETRICAL ANALYSIS Title: ELEMENTS OF TRIGONOMETRY, AND TRIGONOMETRICAL ANALYSIS Author: AUGUSTUS DE MORGAN Langu... ... GENnAI. trnKARY, BEIUCELEY \ ... ELEMENTS ( . .• 1 OF • • r . TRIGONOMETRY, AND TRIGONOMETRICAL ANALYSIS, PRELIMINARY TO THE PIFFERENT... ...peak more at length. The notion. which is, now studi~ under the name. of Trigonometry, is that of magnitude in a state of alternating increase and ... ...as the given magnitude: and it is, in fact, ODe _ of the great objects of trigonometry to UfMII periodic variation whose l.w is known in any way, hy... ... use in Astronomy, is bu~ little connected with the funda­ mental part of Trigonometry. I should have added a chapter upon the subject, had I not aJ... ...... ...... ...D FUNDAMENTAL FORMULA:. OF TRIGO­ NOMETRY IN THE CASE 01' ONE ANGLE. (1.) TRIGONOMETRY originally meant simply the measurement of triangles. It now ... ......

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Elements of Trigonometry

By: De Morgan, Augustus, 1806-1871

...d Public Library.org AND TRIGONOMETRICAL ANALYSIS Title: ELEMENTS OF TRIGONOMETRY, AND TRIGONOMETRICAL ANALYSIS Author: AUGUSTUS DE MORGAN Langu... ...... ... speak more at length. The Dotion which is now studied under the name of Trigonometry, is that of magnitude in a state of altemating increase and d... ... convenient to refer the measurement of triangles (and other figures) to trigonometry, but only as. a minute and isolated application. Digitized by... ...e as the given magnitude: and it is, in fact, one of the great objects of trigonometry to express periodic variation whose law is known in any way, ... ... use in Astronomy, is but little connected with the funda­ mental part of Trigonometry. I should have added a chapter upon the subject, had I not al... ...... ... 80, line t.O,for VlcX, rldd VIc-, Digitized by GoogIe I ELEMENTS OP TRIGONOMETRY. CHAPTER I. DEFINITIONS AND FUNDAMENTAL P01UII"L.~ OF TRIGO­... ......

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Elements of Plane Trigonometry

By: Kenyon, Alfred Monroe, 1869; Ingold, Louis, B. 1872

...F *B SE7 A3? I! IN MEMORIAM FLORIAN CAJOR1 ^2-c^ <Z ELEMENTS OF PLANE TRIGONOMETRY A SERIES OF MATHEMATICAL TEXTS EDITED BY EARLE RAYMOND HEDRIC... ...C GEOMETRY By Alexander Ziwet and Louis Allen Hopkins. PLANE AND SPHERICAL TRIGONOMETRY WITH COMPLETE TABLES By Alfred Monroe Kenton and Louis Ingold.... ...PLETE TABLES By Alfred Monroe Kenton and Louis Ingold. PLANE AND SPHERICAL TRIGONOMETRY WITH BRIEF TABLES By Alfred Monroe Kenton and Louis Ingold. EL... ...Millett Morgan. COLLEGE ALGEBRA By Ernest Brown Skinner. ELEMENTS OF PLANE TRIGONOMETRY WITH COM- PLETE TABLES By Alfred Monroe Kenyon and Louis Ingol... ...- PLETE TABLES By Alfred Monroe Kenyon and Louis Ingold. ELEMENTS OF PLANE TRIGONOMETRY WITH BRIEF TABLES By Alfred Monroe Kenyon and Louis Ingold. TH... ...a form identical with that of the books announced above ELEMENTS OF PLANE TRIGONOMETRY BY ALFRED MONROE KENYON PROFESSOR OF MATHEMATICS, PURDUE UNIVE... ...till more elementary in character. The new text forms a treatment of Plane Trigonometry which is quite brief, but which nevertheless deals with the mo... ... by the student except in some special line of work. Thus all of Spherical Trigonometry and much of the detailed discussion of Trigonometric Identitie... ...ganization is intended to give a clear view of the immediate usefulness of trigonometry. The solution of Triangles remains the principal motive. As su...

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A Treatise on Plane Trigonometry

By: Hobson, Ernest William, 1856-1933

...ications ofthese functions as have been usually included in works on Plane Trigonometry. It is hoped that the work will assist in informing and traini... ... were employed by De Morgan in his suggestive work on " Double Algebra and Trigonometry," and appear to me to be those from which the fundamental prop... ...eorems would be more appropriate to a treatise on Geometry, than to one on Trigonometry. The second part of the book, which may be supposed to commenc... ...n Prof Chrystal's excellent treatise on Algebra. The subject of Analytical Trigonometry has been too frequently presented to the student in the state ... ...s A. and C. Black, who have most kindly placed at my disposal the article "Trigonometry" which I wrote for the Encyclopaedia Britannica. During the pr... ...REMENT OF ANGULAR MAGNITUDE. 1. The primary object of the science of Plane Trigonometry- is to develope a method of solving plane triangles. A plane t... ...ecessary to introduce certain functions of an angular magnitude, and Plane Trigonometry, in the extended sense, will be under- stood to include the in... ...idean Geometry are all less than two right angles, but for the purposes of Trigonometry, it is necessary to extend the conception of angular magnitude... ...manner. 43. The form inwhich the addition formulae were known in the Greek Trigonometry i, is Ptolemy's theorem given in Euclid, Bk. vi. Prop. D; this...

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A Treatise on Plane Trigonometry

By: Hobson, Ernest William, 1856-1933

...TOKYO: THE MARUZEN-KABUSHIKI-KAISHA All rights reserved A TEEATISE ON PLANE TRIGONOMETRY BY E. W. HOBSON, Sc.D., LL.D., F.R.S., sadleirian professor ... ...of their measures. Much of that part of the work which deals with Analytical Trigonometry has been re-written. Proofs of the transcendency of the numb... ...lications of these functions as have been usually included in works on Plane Trigonometry. It is hoped that the work will assist in informing and trai... ...ons, were employed by De Morgan in his suggestive work on Double Algebra and Trigonometry, and appear to me to be those from which the fundamental pro... ... theorems would be more appropriate to a treatise on Geometry than to one on Trigonometry. The second part of the book, which may be supposed to comme... ...in Prof. Chrystal's excellent treatise on Algebra. The subject of Analytical Trigonometry has been too frequently presented to the student in the stat... ...srs A. and C. Black, who have most kindly placed at my disposal the article "Trigonometry" which I wrote for the Encyclopaedia Britannica. During the ... ...SUREMENT OF ANGULAR MAGNITUDE. 1. The primary object of the science of Plane Trigonometry is to develope a method of solving plane triangles. A plane ... ...necessary to introduce certain functions of an angular magnitude ; and Plane Trigonometry, in the extended sense, will be under- stood to include the ...

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Surveying Problems & Solutions

By: F.A. Shepherd
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Logarithmic, Trigonometric, and Mathematical Tables for Artillery

By: United States. War Department;
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Five-Room Face Brick Bungalow and Small House Plans.

By: American Face Brick Association
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The Construction of the Wonderful Canon of Logarithms. Translated from Latin into English with Notes and a Catalogue of the Various Editions of Napier's Works by William Rae Macdonald

By: Napier, John, 1550-1617; Macdonald, William Rae, 1843-1923

... fruit of his labours, pointing to the ultimate perfectingof his Logarithmic Trigonometry, namely certain very remarkable propositionsfor the resolu- ... ...of the seventeenth century, and is twice employed by Napier in the Spherical Trigonometry of the Constructio as well as in the Descriptio. The followi... ...he ; and it was used by them in their calculations in 1582. In the spherical trigonometry the notation used in the original is either of the form 34 g... ...ots we have both demonstrated clearly and shown by examples in both kinds of Trigonometry that the arith- metical solution of every Geometrical questi...

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The Elements of Plane Trigonometry

By: Levett, Rawdon; Davision, Charles, 1858

...ure Collection World Public Library.org Title: THE ELEMENTS OF PLANE TRIGONOMETRY Author: R. LEVETT Language: English Subject: Fiction, Liter... ...... ...TS OF PLANE TRIGONOMETRY PEEFACE. In this treatise on the Elements of Plane Trigonometry the subject is divided into three parts, dealing respectivel... .... For many practical purposes, e.g. in surveying and in the applica- tion of trigonometry to elementary mechanics, the short introduction to the subje... ...dhunter, Mr. Charles Smith, or Messrs. Hall and Knight. A text-book of Plane Trigonometry, intended for use in schools, can, from its nature, contain ... ...itive sense of an angle is likewise arbitrary, but, for the purposes ofPlane Trigonometry, it is sufficient in all cases to fix as the negative sense ... ...ption of such surveys must therefore lie beyond the scope of a work on Plane Trigonometry. If, however, the sides be short, say, not more than a few m...

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The Elements of Non-Euclidean Plane Geometry and Trigonometry

By: Carslaw, H. S. (Horatio Scott), 1870-1954

...Classic Literature Collection World Public Library.org PLANE GEOMETRY AND TRIGONOMETRY Title: THE ELEMENTS OF NON-EUCLIDEAN PLANE GEOMETRY AND... ...oofcern Mathematical Series THE ELEMENTS OF NON-EUCLIDEAN PLANE GEOMETRY AND TRIGONOMETRY BY H. S. CARSLAW SC.D. (CAMB.), D.SC. (GLASG.) PROFESSOR OF ... ...k I have attempted to treat the Elements of Non-Euclidean Plane Geometry and Trigonometry in such a way as to prove useful to teachers of Elementary G... ...am most indebted are Liebmann and Stackel. The treatment of Plane Hyperbolic Trigonometry is due to Liebmann ; and to the second edition of his well-k... ...-53. The areas of triangles and polygons 88 CHAPTEE IV. THE HYPERBOLIC PLANE TRIGONOMETRY. 54-56. Some theorems on concentric limiting-curves - - 91 6... ...62. The trigonometrical functions, and thefundamental equation of hyperbolic trigonometry 105 63. The relations connecting the sides and angles of a t... ...al with three right angles 134 xii CONTENTS CHAPTER VII. THE ELLIPTIC PLANE TRIGONOMETRY. 80-83. Gerard and Mansion's treatment of the Non-Euclidean ... ...dent of the Parallel Postulate. (iv) The formulae of the Non-Euclidean Plane Trigonometry are obtained with the help of the sphere of infinite radius.... ...ted more fully the relation between the Non-Euclidean Geometry and Spherical Trigonometry ; and he pondered the question of the possibility or impossi...

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The Early Government Land Survey in Minnesota West of the Mississippi River

By: Simpson, Thomas, 1831-1905; Minnesota Historical Society
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Geographical Surveying, Its Uses, Methods and Results

By: Carpenter, Frank de Yeaux

...ror somewhere^ and the long line, drawn by the labor- saving appliances of trigonometry, through a hundred kilometres of aerial route, a thousand mete...

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The Construction of the Wonderful Canon of Logarithms

By: Napier, John, 1550-1617; Macdonald, William Rae, 1843-1923

...fruit of his labours, pointing to the ultimateperfecting of hisLogarithmic Trigonometry, namely certain very remarkablepropositions for the resolu- ti... ... the seventeenth century, and is twice employed by Napier in the Spherical Trigonometry of the Constructio as well as in the Descriptio. The following... ... ; and it was used by them in their calculations in 1582. In the spherical trigonometry the notation used in the original is either ofthe form 34 gr 2... ... we have both demonstrated clearly and shovra by examples in both kinds of Trigonometry that the arith- metical solution of every Geometrical question...

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A Treatise on Plane Trigonometry

By: Hobson, Ernest William, 1856-1933

... W. HOBSON Classic Literature Collection World Public Library.org TRIGONOMETRY, THIRD EDITION Title: A TREATISE ON PLANE TRIGONOMETRY, T... ... their measures. Much of that part of the work which deals with Analytical Trigonometry has been re-written. Proofs of the transcendency of the number... ...cations of these functions as have been usually included in works on Plane Trigonometry. It is hoped that the work will assist in informing and traini... ...s, were employed by De Morgan in his suggestive work on Double Algebra and Trigonometry, and appear to me to be those fi-om which the fundamental prop... ...heorems would be more appropriate to a treatise on Geometry than to one on Trigonometry. The second part of the book, which may be supposed to commenc... ...n Prof Chrystal's excellent treatise on Algebra. The subject of Analytical Trigonometry has been too frequently presented to the student in the state ... ...s A. and C. Black, who have most kindly placed at my disposal the article "Trigonometry" which I wrote for the Encyclopcedia Britannica. During the pr... ...REMENT OF ANGULAR MAGNITUDE. 1. The primary object of the science of Plane Trigonometry is to develope a method of solving plane triangles. A plane tr... ...cessary to introduce certain functions of an angular magnitude ; and Plane Trigonometry, in the extended sense, will be under- stood to include the in...

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Surveying and Levelling Instruments : Theoretically and Practically Described, For Construction, Qualities, Selection, Preservation, Adjustments, And Uses : With Other Apparatus and Appliances Used by Civil Engineers and Surveyors in the Field

By: Stanley, William Ford Robinson, 1824-1904; Tallack, H. T
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The Teaching of Algebra (Including Trigonometry)

By: Nunn, Thomas Percy, Sir B. 1870

...ATHEMMICAL SERIES GF ALGEBRA ING TRIGONOMETRY) .PERCY NLIMN GIFT OF Miss Emily Palmer ^> / -p Cy C> CALIFO... ..., 6s. 6d. Contents. — Section IV, " Mainly Revision " ; Sec- tion V, " The Trigonometry of the Sphere"; Section VI, "Complex Numbers"; Section VII, "P... ...onomang' /B^o^ern /IDatbemattcal Series THE TEACHING OF ALGEBRA (INCLUDING TRIGONOMETRY) T. PERCY _^^UNN, M.A., D.Sc PROFESSOR OF EDUCATION IN THE UNI... ...w of the author the term "Algebra" should include in its reference all the Trigonometry, plane and spherical, which it is desirable to teach in school... ...tions 422 XLI. The Exponential Function and Curve . . . 428 SECTION V. THE TRIGONOMETRY OF THE SPHERE. The Exercises op Section V 440 XLII. Projection... ...HE SPHERE. The Exercises op Section V 440 XLII. Projections 441 XLIII. The Trigonometry of Spherical Triangles . . 454 SECTION VI. COMPLEX NUMBERS. Th... ...e the main object of study. METHOD AND CURRICULUM 19 § 3. The Position of Trigonometry and the Calculus. — The foregoing principles point directly to... ...ca- tions in present teaching practice. The first concerns the position of trigonometry, the second that of the differential and integral calculus. At... ...llest acquaintance with the fascinating and powerful methods of elementary trigonometry. If we admit that the custom of teaching trigonometry and the ...

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