The Doctrine of Plain and Spherical Trigonometry: With Its Application and Use in the Following Parts of Mathematicks : Viz. I. Navigation in All Its Kinds ; as Plain Sailing, Mercator's Sailing, Middle Latitude, and Parallel Sailing, II. Astronomy, Wherein All the Problems Relation to the Doctrine of the Sphere are Solved, III. Projection of the Sphere in Plano, IV. Geography, V. Fortification, VI. Mensuration of Heights and Distances, Both Accessible and Inaccessible, VII. Dialling, Arithmetical and Intrumental, on All Sorts of PlanesJ. Darby, 1725 - 479 σελίδες |
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Σελίδα 259
... Course and Distance run being given ; to find the difference of Latitude and Departure . Admit a Ship fails SW b W. 496 Miles , I demand her difference of Latitude and Departure , 1. As Rad . to the Dist . run 496 So s . of the Course ...
... Course and Distance run being given ; to find the difference of Latitude and Departure . Admit a Ship fails SW b W. 496 Miles , I demand her difference of Latitude and Departure , 1. As Rad . to the Dist . run 496 So s . of the Course ...
Σελίδα 260
... Course 50 ° 38 ' 9.88823 To the Diff . Lat . 71,1 2.85201 39-22 92 Le 50-38 2. As Rad , to the Dist . 92 L. 2.96378 So s . of the Courfe 39 ° 22 ' 9.80228 To the Departure 58.4 2.76606 Divide the Diff . of Lat . and Departure by 20 ...
... Course 50 ° 38 ' 9.88823 To the Diff . Lat . 71,1 2.85201 39-22 92 Le 50-38 2. As Rad , to the Dist . 92 L. 2.96378 So s . of the Courfe 39 ° 22 ' 9.80228 To the Departure 58.4 2.76606 Divide the Diff . of Lat . and Departure by 20 ...
Σελίδα 261
... Course 3 Points , that will reach from 92 the Distance run , to 58.4 the Departure . 2 7.1 . CASE II . The Courfe and Difference of Latitude being given , to find the Distance and Departure . Admit a Ship fails NW b WW , until her Diffe ...
... Course 3 Points , that will reach from 92 the Distance run , to 58.4 the Departure . 2 7.1 . CASE II . The Courfe and Difference of Latitude being given , to find the Distance and Departure . Admit a Ship fails NW b WW , until her Diffe ...
Σελίδα 262
... Course 39 ° 23 ′ To the Departure 193.75 2.48478 9.80243 2.28721 If you extend the Compaffes in the Line SR from 4 Points to Radius , that extent will reach from 236 to 305.3 in the Line of Numbers ; and in the second Proportion extend ...
... Course 39 ° 23 ′ To the Departure 193.75 2.48478 9.80243 2.28721 If you extend the Compaffes in the Line SR from 4 Points to Radius , that extent will reach from 236 to 305.3 in the Line of Numbers ; and in the second Proportion extend ...
Σελίδα 263
... Course 56 ° 15 ′ To the Departure 412 So is Radius To the Distance run 496.1 9.91985 2.61542 10 . 2.69557 86-357 -33-45 412.5 2. As Rad . to the Distance 496.1 So cs . of the Courfe 33 ° 45 ' 2.69557 9.74474 2.44031 To the Diff of ...
... Course 56 ° 15 ′ To the Departure 412 So is Radius To the Distance run 496.1 9.91985 2.61542 10 . 2.69557 86-357 -33-45 412.5 2. As Rad . to the Distance 496.1 So cs . of the Courfe 33 ° 45 ' 2.69557 9.74474 2.44031 To the Diff of ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acute againſt alfo Altitude Arch Bafe Baſe becauſe Cafe Center Co-fine Comp Compaffes Compl Courfe Courſe Declination defcribe Departure Dial Diff Difference of Latitude Difference of Longitude Diſtance run Eaft Ecliptick equal Equinoctial extent will reach fame fe.c fecond fide find the Angle firft firſt flanking Angle fubtract half Sum half Tangent half the Angle half the Difference half the Sum Hour Hour-Lines Hypothenufe Hypothenufe BC Interfection lay a Ruler leffer lefs Line of Chords Line of Numbers meaſure Meridian muſt North North Plain Obfervation oblique angled oblique Circle obtufe Perpendicular Plain Triangles Points Pole primitive Circle Proportion Quadrant Radius reclining Plain right Afcenfion right Angles right Line Scale Secant SECT Ship Side BC Sliding Rule South Spherical Triangles Stile Stile's height Sub-ftile Sun's theſe thofe thro Triangle ABC verfed Sine Weft whofe Complement
Δημοφιλή αποσπάσματα
Σελίδα 38 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 124 - As the cosine of half the sum of the two sides is to the cosine of half their difference, so is the cotangent of half the contained angle to the tangent of half the sum of the other two angles.
Σελίδα 37 - FG 5 that is in Words, half the Sum of the Legs, Is to half their Difference, As the Tangent of half the Sum of the oppofite Angles, Is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum...
Σελίδα 36 - 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 87 - ... to make the heart of a spectator ache, who knows the effect and the absurdity of it, to see five horses at length drawing a plough, and that perhaps upon a rich loam, where the force required is not more than 3 cwt. He cannot but think that in such cases the first horse draws the second, the second the third, the third the fourth, the fourth the fifth, and the fifth the plough, and that in fact the principal part of the draught lies upon the first horse...
Σελίδα 119 - TWo fides and an angle oppofite to one of them being given, To find the third fide and either of the other angles.
Σελίδα 38 - FG ; that is in Words, half the Sum of the Legs is to half their Difference, as the Tangent of half the Sum of the oppofite Angles is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs is to their Difference, as the Tangent of half the Sum of the Angles oppofice is to the Tangent of half their Difference. j£. ED Axiom IV. -4. The Bale, or greateu Side of any $£• Plane Triangle is to the Sum of fs...