## 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

Results 1-5 of 83

Page 51

...

...

**Poles**thereof , by a Qua drant or 90 Deg . of the Great Circle . III . If one Great Circle of the Sphere , do pafs by the**Poles**of ano- ther Great Circle , thofe Two Great Circles do interfed , or cut , each other at Right Angles : And ... Page 52

...

...

**Pole**E or F another Great Circle ABCD be defcribed , it is manifeft , that A B , BC , C D , and DA , fhall be the Measures of the Angles at E and F : ( by the 4th of Sea . II . ) But the Arches A B , BC , CD , and D A , are Qua- drants ... Page 54

...

...

**Pole**of the Great Circle G H ( by the third hereof ) and AG and A H are Quadrants ( by the fecond hereof . ) But if the Angle at A be alfo a Right Angle , then G H is alfo a Quadrant , ( by the 13th of Sect . II . and by the 4th hereof ... Page 58

...

...

**Poles**, defcribe Three Great Cir- cles , x AY , RTmn , xBn Z , then is Y m equal to a Qua- drant , and equal to Ax , becaufe m is the**Pole**of H GY , and x or E , the**Pole**of G A ; therefore m x , equal to A Y , equal to the Supplement ... Page 59

...

...

**Pole**of the Circle C w D , and w the**Pole**of D PC ; then is AD Greater than A B , A B Greater than A E , A E Greater than AC : And the Ark B & C Greater than the Ark B P , and BP Greater than B D. 21. A Great Circle paffing through ...### 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.