An Introduction to the Theory and Practice of Plain and Spherical Trigonometry: And the Stereographic Projection of the Sphere : Including the Theory of Navigation ...Longman, Rees, Orme, Brown, and Green, 1826 - 442 σελίδες |
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Σελίδα iv
... construction of various formulæ the algebraical mode of deduction tends greatly to simplify the subject ; yet the de- finitions and the elementary parts of the science must be ac- quired from Geometrical principles illustrated by ...
... construction of various formulæ the algebraical mode of deduction tends greatly to simplify the subject ; yet the de- finitions and the elementary parts of the science must be ac- quired from Geometrical principles illustrated by ...
Σελίδα vi
... 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 ...
Σελίδα vii
... construction of a table of sines by the continual bisection of an arc . This method of con- struction was made use of on account of its simple and obvi- ous principles , and is similar to that given in the Trigonometry of Nikitin and ...
... construction of a table of sines by the continual bisection of an arc . This method of con- struction was made use of on account of its simple and obvi- ous principles , and is similar to that given in the Trigonometry of Nikitin and ...
Σελίδα xx
... CONSTRUCTION AND USE OF THE PLAIN SCALE 2. Of the logarithmical lines , or GUNTER'S scale 3. The construction of the logarithmical lines on GUNTER'S Scale 4. GUNTER'S proportions for using the line of versed sines • • Page • 16 • 18 20 ...
... CONSTRUCTION AND USE OF THE PLAIN SCALE 2. Of the logarithmical lines , or GUNTER'S scale 3. The construction of the logarithmical lines on GUNTER'S Scale 4. GUNTER'S proportions for using the line of versed sines • • Page • 16 • 18 20 ...
Σελίδα xxi
... construction of a table of sines , & c . BOOK III . 126 to 129 • 129 to 132 DEFINITIONS , & c . OF SPHERICAL ANGLES , ARCS , AND TRIANGLES 2. Spherical Geometry , or general properties of spheri- cal angles , arcs , and triangles , & c ...
... construction of a table of sines , & c . BOOK III . 126 to 129 • 129 to 132 DEFINITIONS , & c . OF SPHERICAL ANGLES , ARCS , AND TRIANGLES 2. Spherical Geometry , or general properties of spheri- cal angles , arcs , and triangles , & c ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acute Aldebaran angle CAB Answer apparent altitude azimuth base centre circle co-tangent compasses complement CONSTRUCTION cosec cosine degrees diff difference of latitude difference of longitude draw ecliptic equator Euclid find the angle formulæ given side greater Greenwich Hence horizon horizontal parallax hypoth hypothenuse less line of numbers line of sines log sine measured meridian miles moon's N.sine N.cos Naut Nautical Almanac noon North oblique observed obtuse opposite angle parallax parallel perpendicular plane sailing Plate pole prime vertical PROPOSITION quadrant Rad x sine rad2 radius rhumb line right angles right ascension right-angled spherical triangle RULE scale of chords scale of equal SCHOLIUM secant side AC sine A sine sine BC Sine Co-sine sphere spherical angle spherical triangle ABC star star's subtract sun's declination supplement tang tangent of half three angles three sides Trigonometry true altitude versed sine
Δημοφιλή αποσπάσματα
Σελίδα 21 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 2 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.
Σελίδα 28 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Σελίδα 107 - 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.
Σελίδα 31 - 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.
Σελίδα 136 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 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.
Σελίδα 28 - The SECANT of an arc, is a straight line drawn from the center, through one end of the arc, and extended to the tangent which is drawn from the other end.
Σελίδα 27 - 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.