Elements of Analytic Trigonometry: Plane and Spherical |
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1+tan 2d Transformation algebraic analogous Analytical Formula angled plane triangle angled spherical trigonometry angular points application ar.co.log auxiliary angle AUXILIARY ARCS CHAPTER circle cos a cos cos a sin cos² cos³ cosec cosine cot a cot cot a+b cot² cotangent decimal deduced denominator determined difference Dividing division elementary equal equation evident expressions formula becomes formulæ four right angles geometry give given intersection lines logarithms manner multiplication oblique angled plane oblique angled spherical obtain perpendicular Plane Trigonometry preceding principles Problem quantities radius ratios result secant sides signs simple angle sin a cos sin b sin sin² a sin² sin³ sines and cosines solutions sphere spherical triangle Substituting subtraction supplementary triangle surface tan b cos tan² tan³ tangent three angles tion trigonometric functions whence
Popular passages
Page 2 - In conformity to the act of Congress of the United States. entitled, " an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the time therein mentioned." And also to an act, entitled, " an act, supplementary to an act, entitled, an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned...
Page 94 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 2 - An Act, supplementary to an Act, entitled an act for the encouragement of Learning, hy securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies, during the times therein mentioned, and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.
Page 2 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
Page 93 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Page 93 - ... the three angles of a plane triangle is equal to two right angles, the sine of any one of the angles is equal to the sine of the sum of the two others.
Page 2 - AD 1826, in the fiftieth year of the Independence of the United States of America, WAI.
Page 27 - He must be able to derive formula? for the sine and cosine of the sum and difference of two angles, of double angles, half angles, etc.
Page 55 - It being a property of the circle, that the chord of the sixth part of the circumference is equal to...
Page 6 - From its preface we take the following : " It was the desire of introducing into the course of mathematics at West Point the most useful mode of instruction in this branch that led me to the preparation of this work as early as the year 1807.