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 21
... plain , that Triangles on the fame Base , and between the fame Parallels , are equal ; fince they are the half of ... tis plain that DBC is equal to ABH ) therefore the Triangles DBC , ABH are equal ( by the 62d ) , but the Trian- gle ...
... plain , that Triangles on the fame Base , and between the fame Parallels , are equal ; fince they are the half of ... tis plain that DBC is equal to ABH ) therefore the Triangles DBC , ABH are equal ( by the 62d ) , but the Trian- gle ...
Σελίδα 22
... tis plain the Arch DB is a Quadrant , or contains 90 Degrees ; fuppofe the Arch DB to be divided into 9 equal Arches , each of which will contain 10 Degrees , then on the Point B railing BE perpendicular to the Line AB , it will be a ...
... tis plain the Arch DB is a Quadrant , or contains 90 Degrees ; fuppofe the Arch DB to be divided into 9 equal Arches , each of which will contain 10 Degrees , then on the Point B railing BE perpendicular to the Line AB , it will be a ...
Σελίδα 24
... tis plain the Sine , Tangent , & c . of every Arc muft confift of fome Number of thefe equal Parts , and by computing them in parts of the Radius , we have Tables of Sines , Tangents , & c . to every Arch in the Quadrant , called ...
... tis plain the Sine , Tangent , & c . of every Arc muft confift of fome Number of thefe equal Parts , and by computing them in parts of the Radius , we have Tables of Sines , Tangents , & c . to every Arch in the Quadrant , called ...
Σελίδα 31
... tis plain , the greater the Radius is , the greater is the Circle defcribed by that Radius , and confequent- ly the greater any particular Arch of that Circle is , and and fo the Sine , Tangent , & c . Geometrical Propofitions . 31.
... tis plain , the greater the Radius is , the greater is the Circle defcribed by that Radius , and confequent- ly the greater any particular Arch of that Circle is , and and fo the Sine , Tangent , & c . Geometrical Propofitions . 31.
Σελίδα 32
... tis plain , fince the Angle BAC is equal the Angle bac , the Arch BDC is equal the Arch bdc , and confequently the Chord BC is to the Chord bc , as the Radius of the Circle ABC to the Radius of the Circle abc ( by the 72d ) ; the fame ...
... tis plain , fince the Angle BAC is equal the Angle bac , the Arch BDC is equal the Arch bdc , and confequently the Chord BC is to the Chord bc , as the Radius of the Circle ABC to the Radius of the Circle abc ( by the 72d ) ; the fame ...
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.