An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Inni boken
Resultat 1-5 av 72
Side v
... - nected , and there is scarcely a writer on one of these subjects , who has not likewise introduced the other . The first authors of note , after the invention of A 3 THE CONSTRUCTION AND USE OF THE PLANE CHAP CHAP CHAP.
... - nected , and there is scarcely a writer on one of these subjects , who has not likewise introduced the other . The first authors of note , after the invention of A 3 THE CONSTRUCTION AND USE OF THE PLANE CHAP CHAP CHAP.
Side vi
... construction of various formulæ , the algebraical mode of deduction tends greatly to simplify the subject ; yet the definitions and the elementary parts of the science must be acquired from Geometrical principles illustrated by diagrams ...
... construction of various formulæ , the algebraical mode of deduction tends greatly to simplify the subject ; yet the definitions and the elementary parts of the science must be acquired from Geometrical principles illustrated by diagrams ...
Side viii
... construction and use of Gunter's Scale , and some preparatory Geometrical Problems . Book II . comprises the principles and practice of Plane Trigonometry , illustrated by a variety of useful examples in the mensuration of distances ...
... construction and use of Gunter's Scale , and some preparatory Geometrical Problems . Book II . comprises the principles and practice of Plane Trigonometry , illustrated by a variety of useful examples in the mensuration of distances ...
Side ix
... construction of a table of sines by the continual bisection of an arc . This method of construction was made use of on account of its simple and obvious principles , and is similar to that given in the Trigo- nometry of Nikitin and ...
... construction of a table of sines by the continual bisection of an arc . This method of construction was made use of on account of its simple and obvious principles , and is similar to that given in the Trigo- nometry of Nikitin and ...
Side xxi
... to any given logarithmic sine , tangent , & c . 4. To find the natural or logarithmic versed sine of an arc , by the help of a table of natural or logarithmic sines 3 14 15 CHAP . IV . THE CONSTRUCTION AND USE OF THE.
... to any given logarithmic sine , tangent , & c . 4. To find the natural or logarithmic versed sine of an arc , by the help of a table of natural or logarithmic sines 3 14 15 CHAP . IV . THE CONSTRUCTION AND USE OF THE.
Vanlige uttrykk og setninger
acute altitude angle CAB arc BF base centre complement construction cosec cosine cotangent degrees diff difference of latitude distance division draw ecliptic equator Euclid extent will reach find the angle formulæ given angle given side greater Greenwich half the sum Hence horizon hypoth less line of numbers line of sines logarithm logarithmic sine mean arc measure meridian moon's natural number Nautical Almanac observed obtuse opposite angles parallax parallel perpendicular plane sailing Plate pole primitive PROPOSITION quadrant rad2 radius rhumb line right angles right ascension right-angled plane triangle right-angled spherical triangle right-angled triangle RULE scale of chords scale of equal SCHOLIUM secant semi-tangents side AC side opposite sin² sphere spherical angle spherical triangle ABC spherical trigonometry straight line subtract supplement Tang tangent of half three angles three sides Trigonometry versed sine
Populære avsnitt
Side 109 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 141 - Consequently, a line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the vertical angle, and is perpendicular to the base.
Side 33 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Side 29 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.
Side 258 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.
Side 116 - C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A sin. B sin. C _ sin.
Side 362 - Now it is plain, that if any great circle of the sphere (as 1, 2, 3.) be divided into any number of equal parts, and through the points of division...
Side 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 330 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.