An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Σελίδα 16
... feet in length , having drawn upon it equal parts , chords , sines , tan- gents , secants , & c . These are contained on one side of the scale , and the other side contains their logarithms . ( 22 ) Describe a semicircle with any ...
... feet in length , having drawn upon it equal parts , chords , sines , tan- gents , secants , & c . These are contained on one side of the scale , and the other side contains their logarithms . ( 22 ) Describe a semicircle with any ...
Σελίδα 18
... feet rulers , or rather to the cross - staff . Wingate drew the logarithms on two separate rules sliding against each other , to save the use of compasses . Oughtred applied the logarithms to concentric circles . Mr. William Nicholson ...
... feet rulers , or rather to the cross - staff . Wingate drew the logarithms on two separate rules sliding against each other , to save the use of compasses . Oughtred applied the logarithms to concentric circles . Mr. William Nicholson ...
Σελίδα 30
... feet , chains , or any other lineal measure . T ( 91 ) A circle is a plain figure contained under one line , called the circumference , to which all lines drawn from the centre are equal . Thus ABDBHA is the circumference ; c the centre ...
... feet , chains , or any other lineal measure . T ( 91 ) A circle is a plain figure contained under one line , called the circumference , to which all lines drawn from the centre are equal . Thus ABDBHA is the circumference ; c the centre ...
Σελίδα 61
... feet in length is often preferred both for accuracy and expedition : especially if it be kept dry , and the ground be tolerably level . ( 144 ) The use of instruments must be acquired under the direction of a person well skilled in ...
... feet in length is often preferred both for accuracy and expedition : especially if it be kept dry , and the ground be tolerably level . ( 144 ) The use of instruments must be acquired under the direction of a person well skilled in ...
Σελίδα 63
... feet broad and six feet asunder he should have occasion to make use of . Perceiving an object ( c ) on the opposite bank of the river close to the edge of the water , he measured 144 paces or 360 feet along the edge of the river ( as AB ) ...
... feet broad and six feet asunder he should have occasion to make use of . Perceiving an object ( c ) on the opposite bank of the river close to the edge of the water , he measured 144 paces or 360 feet along the edge of the river ( as AB ) ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
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 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.
Σελίδα 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...
Σελίδα 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 330 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.