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 σελίδες |
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Σελίδα 19
... Secant , alfo GK the Co - Sine , BF the Co - Tangent , and CF the Co - Secant , & c . BF G K E D C H of the Arch GD ; then GH is called the Sine , DE the Tangent , & c . of the Angle GCD whose measure is the Arch GD . 68. If two equal ...
... Secant , alfo GK the Co - Sine , BF the Co - Tangent , and CF the Co - Secant , & c . BF G K E D C H of the Arch GD ; then GH is called the Sine , DE the Tangent , & c . of the Angle GCD whose measure is the Arch GD . 68. If two equal ...
Σελίδα 30
... Secant ; the Column of Minutes on the right hand of each Page , anfwers to the Degrees in the foot of the Page , and the Sines , Tangents , and Secants , anfwering to thefe Degrees and Minutes , are in the Columns mark'd at the bottom ...
... Secant ; the Column of Minutes on the right hand of each Page , anfwers to the Degrees in the foot of the Page , and the Sines , Tangents , and Secants , anfwering to thefe Degrees and Minutes , are in the Columns mark'd at the bottom ...
Σελίδα 31
... Secant , and on the fame line with the Minutes , we fhall have that requir❜d . Example 1. Required to find the Ŝine of 36 deg . 40 min . To find this , I look at the head of the Page for 36 deg . and in the fide Column , on the left ...
... Secant , and on the fame line with the Minutes , we fhall have that requir❜d . Example 1. Required to find the Ŝine of 36 deg . 40 min . To find this , I look at the head of the Page for 36 deg . and in the fide Column , on the left ...
Σελίδα 34
... Secant of the fame , as the Sine of it is to the Radius . Alfo fince DE : EC :: GB : BC , therefore by inverting that proportion we have EC : DE :: BC : GB i . e . the Secant is to the Tangent , as the Radius is to the Sine of any Arch ...
... Secant of the fame , as the Sine of it is to the Radius . Alfo fince DE : EC :: GB : BC , therefore by inverting that proportion we have EC : DE :: BC : GB i . e . the Secant is to the Tangent , as the Radius is to the Sine of any Arch ...
Σελίδα 44
... Secant of the fame Angle ( by Art . 24 , 25 , and 67 of Sect . 1. ) . The fame way , making the Leg E F the Radius , and on the Center E defcribing a Circle , the other Leg GF will become the Tangent of the Angle at E , and the ...
... Secant of the fame Angle ( by Art . 24 , 25 , and 67 of Sect . 1. ) . The fame way , making the Leg E F the Radius , and on the Center E defcribing a Circle , the other Leg GF will become the Tangent of the Angle at E , and the ...
Άλλες εκδόσεις - Προβολή όλων
A Compleat Treatise of Practical Navigation Demonstrated From It's First ... Archibald Patoun Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Compleat Treatise of Practical Navigation Demonstrated From It's First ... Archibald Patoun Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Compleat Treatise of Practical Navigation Demonstrated from It's First ... Archibald Patoun Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα iv - B is an arc, and a right line drawn from one end of an arc to the other is called a chord.
Σελίδα 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.
Σελίδα 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.
Σελίδα 39 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Σελίδα 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.
Σελίδα 5 - AED, is equal to two right angles ; that is, the sum of the angles...
Σελίδα 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.
Σελίδα 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.