Elements of Analytic Trigonometry: Plane and SphericalThe author, 1826 - 192 páginas |
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Elements of Analytic Trigonometry, Plane and Spherical Ferdinand Rudolph Hassler Vista completa - 1826 |
Elements of Analytic Trigonometry: Plane and Spherical Ferdinand Rudolph Hassler Vista completa - 1826 |
Elements of Analytic Trigonometry, Plane and Spherical Ferdinand Rudolph Hassler Vista completa - 1826 |
Términos y frases comunes
1+tan 1st Transformation 2d Transformation a+b+c analogous angled plane triangle Angled Spherical Trigonometry angular points application auxiliary angle auxiliary arc calculation CHAPTER circle cos a cos cos a sin cos a tan cos² cos³ cosec cosine cot a cot cot a+b cot² cota cotangent decimal deduced denominator determined difference Dividing elementary equal equation evidently expressions following formulæ four right angles geometry give given intersection lines logarithms manner multiplication oblique angled plane 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 solution sphere spherical triangle Substituting subtraction supplementary triangle surface tan b cos tan² tan³ tangent three angles tion trigonometric functions whence
Pasajes populares
Página 90 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 89 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Página 112 - In spherical triangles, whether right angled or oblique angled, the sines of the sides are proportional to the sines of the angles opposite to them.
Página 89 - ... 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.
Página 139 - Having two angles, and a side opposite to one of them-, to find the third angle.
Página 120 - Spherical Triangle, and a Side Opposite to one of them ; to find the Side Opposite to the other.
Página 23 - 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.
Página 51 - It being a property of the circle, that the chord of the sixth part of the circumference is equal to...
Página 2 - 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." Hassler was, no doubt, the first one to teach analytic trigonometry in this country — the first one to discard the old