An Introduction to the Theory and Practice of Plane and Spherical Trigonometry, and the Stereographic Projection of the Sphere: Including the Theory of Navigation ... |
From inside the book
Results 1-5 of 100
Page iv
... rule or operation . The object of the ensuing treatise is to simplify the theory , yet to retain a methodical and accurate mode of investigation , and to exemplify this theory by a variety of important and use- ful examples . The ...
... rule or operation . The object of the ensuing treatise is to simplify the theory , yet to retain a methodical and accurate mode of investigation , and to exemplify this theory by a variety of important and use- ful examples . The ...
Page v
... rule is deduced from Baron Napier . These remarks are not introduced with a design to criticise the works of either of these eminent authors , but to shew the insufficiency of the Geometrical and of the Algebraical mode of demonstration ...
... rule is deduced from Baron Napier . These remarks are not introduced with a design to criticise the works of either of these eminent authors , but to shew the insufficiency of the Geometrical and of the Algebraical mode of demonstration ...
Page viii
... rule is de- rived from the xxIIId proposition . This rule is the most sim- ple and comprehensive that ever was invented , for solving the different cases of right - angled spherical triangles , but has ge- nerally been explained in a ...
... rule is de- rived from the xxIIId proposition . This rule is the most sim- ple and comprehensive that ever was invented , for solving the different cases of right - angled spherical triangles , but has ge- nerally been explained in a ...
Page xvii
... rule of three by logarithms 10 IF .11 13. Promiscuous examples exercising all the propositions 11 THE USE OF THE TABLES OF SINES AND TANGENTS · 1. To find the natural sine or cosine of an arc , also the logarithmical sine , tangent ...
... rule of three by logarithms 10 IF .11 13. Promiscuous examples exercising all the propositions 11 THE USE OF THE TABLES OF SINES AND TANGENTS · 1. To find the natural sine or cosine of an arc , also the logarithmical sine , tangent ...
Page xviii
... rules for the solutions of all the different cases of right - angled plane triangles 3 Practical examples , exercising the rules in right - angled plane triangles 34 35 to 42 4. Plane CHAP . II . CHAP . III . CHAP . xviii CONTENTS .
... rules for the solutions of all the different cases of right - angled plane triangles 3 Practical examples , exercising the rules in right - angled plane triangles 34 35 to 42 4. Plane CHAP . II . CHAP . III . CHAP . xviii CONTENTS .
Other editions - View all
An Introduction to the Theory and Practice of Plain and Spherical ... Thomas Keith No preview available - 2017 |
An Introduction to the Theory and Practice of Plain and Spherical ... Thomas Keith No preview available - 2014 |
Common terms and phrases
acute adjacent angle altitude angle CAB Answer apparent altitude azimuth base centre circle co-tangent complement CONSTRUCTION cosec cosine degrees diff draw ecliptic equation Euclid find the angle formulæ given angle given side Given The side greater half the sum Hence horizon hypoth hypothenuse latitude less line of numbers line of sines logarithm logarithmical sine longitude measured meridian miles moon's Nautical Almanac North oblique observed obtuse opposite angle parallax parallel perpendicular Plate pole primitive PROPOSITION quadrant Rad x sine rad² radius right ascension right-angled spherical triangle RULE scale of chords scale of equal SCHOLIUM secant semi-tangents side AC sine A sine sine BC sine of half sine² species spherical angle spherical triangle ABC star star's straight line subtract sun's declination supplement tang tang AC tangent of half three sides Trigonometry versed sine
Popular passages
Page 25 - 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.
Page 136 - 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.
Page 6 - 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.
Page xxvi - A New Treatise on the Use of the Globes; or, a Philosophical View of the Earth and Heavens : comprehending an Account of the Figure, Magnitude, and Motion of the Earth : with the Natural Changes of its Surface, caused by Floods, Earthquakes, Ac.
Page 32 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Page 31 - 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.
Page 240 - 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.
Page 240 - ... ZENITH DISTANCE of any celestial object is the arc of a vertical circle, contained between the centre of that object and the zenith ; or it is what the altitude of the object wants of 90 degrees.
Page 197 - The sum of the two sides of a triangle is to their difference as the tangent of half the sum of the angles at the base is to the tangent of half their difference.
Page 32 - 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.