Nine Geometricall Exercises: For Young Sea-men, and Others that are Studious in Mathematicall Practices ... All which Exercises are Geometrically Performed, by a Line of Chords and Equal Parts, by Waies Not Usually Known Or Practised. Unto which the Analogies Or Proportions are Added, Whereby They May be Applied to the Chiliads of Logarithms, and Canons of Artificiall Sines and TangentsJ. Flesher, 1704 - 192 pages |
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Page 121
... Indexes , to move upon the Centres of the Planifpberes . As to the Ste- reographical , an Index having Two Legs as a Sector ; both which are to be divided , according to the Tangents of half Arks , as the Semidiametre of the Planifphere ...
... Indexes , to move upon the Centres of the Planifpberes . As to the Ste- reographical , an Index having Two Legs as a Sector ; both which are to be divided , according to the Tangents of half Arks , as the Semidiametre of the Planifphere ...
Page 122
... Index . 2. Upon the Limb , from the Diameter , reckon the Cathetus CA ; and from the end of that Arch , eftimate reasonably , a Parallel Circle , till it meet with the Index : For that Point of Interfection fhall fhew both the ...
... Index . 2. Upon the Limb , from the Diameter , reckon the Cathetus CA ; and from the end of that Arch , eftimate reasonably , a Parallel Circle , till it meet with the Index : For that Point of Interfection fhall fhew both the ...
Page 123
... Index ; fo fhall you have the Angle fought XLVIII . for C , upon the Limb . 3. Otherwife , you may fet the Angle B at the Pole , rec- koned upon the Diameter from the Limb ; and B A upon the Limb from the Pole , and CA upon the Index ...
... Index ; fo fhall you have the Angle fought XLVIII . for C , upon the Limb . 3. Otherwife , you may fet the Angle B at the Pole , rec- koned upon the Diameter from the Limb ; and B A upon the Limb from the Pole , and CA upon the Index ...
Page 124
... Index noted with the proper Letter of the Angle given , D or B ; and mark the Diffance of it from the Centre for this Distance being exactly taken on the other Index , fhall in the Planifphere give the true Place of the Point fought ...
... Index noted with the proper Letter of the Angle given , D or B ; and mark the Diffance of it from the Centre for this Distance being exactly taken on the other Index , fhall in the Planifphere give the true Place of the Point fought ...
Page 125
... Index opened at the Wideness of B D. Set , therefore , the Index thus opened , fo that the Two Points C , may fall within it . And among the Great Circles and Pa- rallels , or both ( according as Reafon fhall direct ) reckon the Two ...
... Index opened at the Wideness of B D. Set , therefore , the Index thus opened , fo that the Two Points C , may fall within it . And among the Great Circles and Pa- rallels , or both ( according as Reafon fhall direct ) reckon the Two ...
Other editions - View all
Nine Geometricall Exercises: For Young Sea-Men, and Others That Are Studious ... William Leybourn No preview available - 2015 |
Nine Geometricall Exercises: For Young Sea-Men, and Others That Are Studious ... William Leybourn No preview available - 2018 |
Common terms and phrases
Aldebaran alfo Azimuth Bafe becauſe Cafe Canons for Calculation Cathetus Centre Co-fine Co-tangent Compaffes Complement Declination defcribe the Arch Degrees Dial Diameter Difference of Longitude Diſtance Ecliptick equal Equinoctial Extream fame fhall fhew firft Foot fubftracted fuch fuppofe given Line Globe half Difference half Sum half the Difference half the Sum hath Horizon Hour-lines Hours Hypotenuse Index Inftrument Interfection Leffer lefs Logar Longitude Meaſure Meridian muft muſt North Number obferved Oblique Oblique-angled Obtufe oppofite paffing Parallel Perpendicular Place Plain Triangle Planets Pofition Point Pole PROB Quadrant of Altitude Radius Rectangle refolved refpect Right Afcenfion Right Angles Right Line Right-angled Spherical Triangle Rumb Side A B Sine of half South Spherical Triangle Star Stile Sun's Tangent of half Taurus thefe thereof theſe thofe Sides Triangle ABC Trigonometrical Calculation Verfed Sine Weft whofe
Popular passages
Page 179 - Ocean, the first thing which strikes us is, that, the north-east and south-east monsoons, which are found the one on the north and the other on...
Page 257 - The stomachs of birds shot at all times of the year and in all parts of the state, have been preserved in alcohol, each labeled with name, date and locality.
Page 3 - A circle is a plane figure contained by one line, which is Called the circumference, and is fuch that all ftraight lines drawn from a certain point within the figure...
Page 75 - That i г is, the tangent of half the bafe is to the tangent of half the fum of the...
Page 41 - So is the Tangent of half the Sum of the oppofite Angles to the Tangent of half their Difference.
Page 76 - Prove that, in any plane triangle, the base is to the difference of the other two sides, as the sine of half the sum of the angles at the base, to the sine of half their difference : also, that the base is to the sum of the other two sides, as the cosine of half the sum of the angles at the base, to the cosine of half their difference. Ex.
Page 225 - Bring 22 d. of Capricorn to the Meridian, and fet the Hour Index to 1 2. Then turn the Globe about till Aldebaran be under the Meridian, and then you (hall find the Index to point at 42 m.
Page 169 - A line drawn from one pole to the other is called the axis of the magnet-.
Page 32 - Diameter pafllng thro' the other End ; or it is half the Chord of twice the Arch ; fo BF is the Sine of the Arches BA, BD.
Page 222 - Bring 2 1 d. of Capricorn to the Meridian, and the Index to 1 2 a Clock. Then move the Globe and Quadrant of Altitude fo together, that the Great Dog meet with 14 d.