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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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα 14
... against 121.39 on A , is 81.11 on B. ( A fignifies the double Line of Numbers upon the Rule , and B the double Numbers upon the Slider . ) The fecond Proportion you may work thus , Set 33 ° 45 ′ in the Tangents , to Radius ; then against ...
... against 121.39 on A , is 81.11 on B. ( A fignifies the double Line of Numbers upon the Rule , and B the double Numbers upon the Slider . ) The fecond Proportion you may work thus , Set 33 ° 45 ′ in the Tangents , to Radius ; then against ...
Σελίδα 17
... against 121.39 upon B , is 146 upon A. But if you turn the Slider fo as Sines and double Numbers may flide one by another , you may fet 56 ° 15 ' of Sines to 121.39 in the Line of Numbers : then against 90 ° C in Chap . 3 . 17 Plain ...
... against 121.39 upon B , is 146 upon A. But if you turn the Slider fo as Sines and double Numbers may flide one by another , you may fet 56 ° 15 ' of Sines to 121.39 in the Line of Numbers : then against 90 ° C in Chap . 3 . 17 Plain ...
Σελίδα 18
... against 90 ° of Sines you'll have 146 in the Line of Numbers ; and you will alfo find 33 ° 45 ' of Sines to be against 81.11 of Num- bers . So that you may obferve , that if 90 ° of Sines be fet to the greatest Side or Hypothenufe , you ...
... against 90 ° of Sines you'll have 146 in the Line of Numbers ; and you will alfo find 33 ° 45 ' of Sines to be against 81.11 of Num- bers . So that you may obferve , that if 90 ° of Sines be fet to the greatest Side or Hypothenufe , you ...
Σελίδα 20
... against 146 upon A , is 121.394 upon B. B Geometrical Protraction . B C Draw the Line BC , and from a Scale of equal Parts take 146 , and fet from B to C ; and E upon C , with 60 degrees of Chords , ftrike the Arch DE ; and fet 56 ° D ...
... against 146 upon A , is 121.394 upon B. B Geometrical Protraction . B C Draw the Line BC , and from a Scale of equal Parts take 146 , and fet from B to C ; and E upon C , with 60 degrees of Chords , ftrike the Arch DE ; and fet 56 ° D ...
Σελίδα 22
... against 81.113 in the Line of Numbers is 33 ° 45 ' , and alfo its Complement 56 ° 15 ' in the Line of Tangents . This Cafe is perform'd Geometrically , as the fixth Cafe following . CASE V. The Bafe BA , and the Hypothenufe BC being ...
... against 81.113 in the Line of Numbers is 33 ° 45 ' , and alfo its Complement 56 ° 15 ' in the Line of Tangents . This Cafe is perform'd Geometrically , as the fixth Cafe following . CASE V. The Bafe BA , and the Hypothenufe BC being ...
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...