## 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 |

### From inside the book

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Page 33

... Sine , and is the greatest of all Sines : For the Sine of an Ark Fig . III . greater than a Quadrant , is less than the Radius ; so FG is the whole Sine or Radius . 3. A

... Sine , and is the greatest of all Sines : For the Sine of an Ark Fig . III . greater than a Quadrant , is less than the Radius ; so FG is the whole Sine or Radius . 3. A

**Versed Sine**is the Segment of the Radius between the Ark and its Right ... Page 80

... Sine of the Sum of the Angles B and E , Is to the Sum of the Sines of the Angles B and É ; So is the Tangent of half the Bafe B E , To the Tangent of the half Sum of the Sides A B and A E. But ...

... Sine of the Sum of the Angles B and E , Is to the Sum of the Sines of the Angles B and É ; So is the Tangent of half the Bafe B E , To the Tangent of the half Sum of the Sides A B and A E. But ...

**Versed Sine**of 80 Janua Mathematica . Page 81

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**Versed Sine**of PZS the AngleFig . Sought : And the Right Lines NC , KL , and RG , being Paral- XXIX . lel , by the ...**Versed Sine**of the Base , and the Verfed Sine of the Difference of the other Two Sides , To the Verfed Sine of ... Page 82

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**Versed Sine**of the Angle fought . Which was to be Demon- Strated . THEOREM V. In all Spherical Triangles , As the Rectangle of the Sines of the Sides containing the enquired Angle , Is to the Square of the Radius ; So is the Rectangle ... Page 83

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**Versed Sine**of an Arch , is equal to the Square of the Sine of half the Arch : As in the foregoing Diagram ; let the Arch given be D T , then is DX the**Versed Sine**of that Arch ; and D F the Right Sine of half the Arch ; and the ...### 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

Acute Aldebaran alſo Azimuth Baſe becauſe Cafe Canons for Calculation Cathetus Centre CHAP Co-fine Co-tangent Compaſſes Declination Degrees deſcribe the Arch Dial Diameter Difference of Longitude Diſtance Ecliptick equal Equinoctial Extream fame firſt Foot fuch given Line Globe half Difference half Sum half the Difference half the Sum hath Horizon Hour-lines Hours Hypotenuse Index Interfection Leffer Logar Longitude Meaſure Meridian muſt North Number Oblique obſerved Obtufe oppofite Parallel Perpendicular Place Plain Triangle Planets Point Pole PROB Proportion Quadrant of Altitude Radius Rectangle refolved reſpect Right Afcenfion Right Angles Right Line Rumb ſame ſet ſeveral ſhall ſhew Sine Sine 90 Sine of half South Spherical Triangle ſtand Star Stile ſubſtracted ſuch Sun's ſuppoſe Tangent of half thereof theſe thoſe thoſe Sides Trigonometrical Calculation Verſed Sine Weft whoſe

### Popular passages

Page 175 - 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 253 - 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 71 - That i г is, the tangent of half the bafe is to the tangent of half the fum of the...

Page 39 - So is the Tangent of half the Sum of the oppofite Angles to the Tangent of half their Difference.

Page 72 - 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 221 - 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 165 - A line drawn from one pole to the other is called the axis of the magnet-.

Page 30 - 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 218 - 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.