A Compleat Treatise of Practical Navigation Demonstrated from It's First Principles: Together with All the Necessary Tables. To which are Added, the Useful Theorems of Mensuration, Surveying, and Gauging; with Their Application to Practice. Written for the Use of the Academy in Tower-StreetJ. Brotherton, 1734 - 414 sider |
Inni boken
Resultat 1-5 av 62
Side 31
... Trigonometry . 72. The Chord , Sine , Tangent , & c . of any Arch in one Circle , is to the Chord , Sine , Tangent , & c . of the fame Arch in another Circle , juft as the Ra- dius of the one is to the Radius of the other ; for ' tis ...
... Trigonometry . 72. The Chord , Sine , Tangent , & c . of any Arch in one Circle , is to the Chord , Sine , Tangent , & c . of the fame Arch in another Circle , juft as the Ra- dius of the one is to the Radius of the other ; for ' tis ...
Side 43
... Trigonometry . SE C T. II . Of Plain TRIGONOMETRY , Right and Oblique Angled . 1.PLA LAIN TRIGONOMETRY is that Sci- ence by which we measure the Sides and An- gles of plain Triangles . 2. Since Triangles are either right or oblique an ...
... Trigonometry . SE C T. II . Of Plain TRIGONOMETRY , Right and Oblique Angled . 1.PLA LAIN TRIGONOMETRY is that Sci- ence by which we measure the Sides and An- gles of plain Triangles . 2. Since Triangles are either right or oblique an ...
Side 44
... Trigonometry naturally follows . 6. Since Trigonometry confifts in determining Angles and Sides from others given , there arifes va- rious Cafes , which are feven in Rectangular and fix in Oblique - angular Trigonometry . We fhall now ...
... Trigonometry naturally follows . 6. Since Trigonometry confifts in determining Angles and Sides from others given , there arifes va- rious Cafes , which are feven in Rectangular and fix in Oblique - angular Trigonometry . We fhall now ...
Side 45
... Trigonometry . CASE I. The Angles and one of the Legs given , to find the o- ther Leg . 7 Example . In the Triangle ABC rightangled at B , fuppofe the Leg AB , 86 equal parts , ( as Feet , Yards , Miles , & c . ) and the Angle A 33 ...
... Trigonometry . CASE I. The Angles and one of the Legs given , to find the o- ther Leg . 7 Example . In the Triangle ABC rightangled at B , fuppofe the Leg AB , 86 equal parts , ( as Feet , Yards , Miles , & c . ) and the Angle A 33 ...
Side 46
... made the Radius , will be , R : T , A : AB : BC i . e . as the Radius in the Tables , is to the Tangent of the Angle A in the fame , fo is the length of BA , or Radius in the Scheme , to the length of or 46 . Plain Trigonometry .
... made the Radius , will be , R : T , A : AB : BC i . e . as the Radius in the Tables , is to the Tangent of the Angle A in the fame , fo is the length of BA , or Radius in the Scheme , to the length of or 46 . Plain Trigonometry .
Andre utgaver - Vis alle
A Compleat Treatise of Practical Navigation Demonstrated From It's First ... Archibald Patoun Ingen forhåndsvisning tilgjengelig - 2017 |
A Compleat Treatise of Practical Navigation Demonstrated From It's First ... Archibald Patoun Ingen forhåndsvisning tilgjengelig - 2017 |
A Compleat Treatise of Practical Navigation Demonstrated from It's First ... Archibald Patoun Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
alfo alſo Altitude anfwering Arch Bafe becauſe Cafe called Center Chord Circle Circumference Co-fine Compaffes confequently Courfe Courſe Courſe and Diſtance Declination defcribe Degrees Dep Lat Departure Diameter Diff Difference of Latitude difference of Longitude Dift Diſtance Diſtance fail'd diurnal Motion Dominical Letter draw Eaft Earth Eaſt Ecliptick equal Equator Example faid fhall fide fince firft firſt fome given greateſt half Horizon Hours Interfection Julian Period Knot laft laſt Lati leaft lefs length Logar Logarithm meaſured Meridian Miles Minutes Moon muft muſt North Number Obfervation oppofite paffing Parallel Parallel Sailing perpendicular Point Pole proper difference Rectangular Trigonometry reprefent Requir'd Required right Angles right Line Rumb Secant Sect Ship's Sine South Sun's Suppofe a Ship Table Tang Tangent thefe theſe thro tis plain Triangle true tude Weft whofe
Populære avsnitt
Side iv - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Side iv - A diameter of a circle is a straight line drawn through the center and terminated both ways by the circumference, as AC in Fig.
Side iv - B is an arc, and a right line drawn from one end of an arc to the other is called a chord.
Side 19 - ... 1 and 6, 2 and 5, 3 and 4, 4 and 3, 5 and 2, 6 and 1 , 5 and 6, or 6 and 5.
Side 41 - IN a plain triangle, the fum of any two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference.
Side 39 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Side ix - KCML, the sum of the two parallelograms or square BCMH ; therefore the sum of the squares on AB and AC is equal to the square on BC.
Side 5 - AED, is equal to two right angles ; that is, the sum of the angles...
Side 5 - Thro' C, let CE be drawn parallel to AB ; then since BD cuts the two parallel lines BA, CE ; the angle ECD = B, (by part 3, of the last theo.) and again, since AC cuts the same parallels, the angle ACE = A (by part 2. of the last.) Therefore ECD + ACE = ACD =1 B + AQED THEOREM V. In any triangle ABC, all the three angles taken together are equal to two right angles, viz.
Side 53 - IT is well known, that the longitude of any place is an arch, of the equator, intercepted between the firft meridian and the meridian of that place ; and that this arch is proportional to the quantity of time that the fun requires to move from the one meridian to the other ; which is at the rate of 24 hours for 360 degrees; one hour for 15 degrees; one minute of time for.