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
... Hour Lines upon a Vertical ( commonly called Horizontal ) Plain . 396 Sect . 2. How to defcribe Hour - Lines upon an erect direct South or North Plain . 399 402 Sec . 3. To defcribe Hour - Lines upon an erect direct Eaft or Weft Plain ...
... Hour Lines upon a Vertical ( commonly called Horizontal ) Plain . 396 Sect . 2. How to defcribe Hour - Lines upon an erect direct South or North Plain . 399 402 Sec . 3. To defcribe Hour - Lines upon an erect direct Eaft or Weft Plain ...
Σελίδα 145
... Hours , for it finds two Altitudes at one Operation , the double Rectangle be ing fix'd for that Declination , thus ... Hour from Noon , and add it to the fix'd Logarithm , the Sum ( rejecting 3 towards the Left - hand , for the Cube of ...
... Hours , for it finds two Altitudes at one Operation , the double Rectangle be ing fix'd for that Declination , thus ... Hour from Noon , and add it to the fix'd Logarithm , the Sum ( rejecting 3 towards the Left - hand , for the Cube of ...
Σελίδα 146
... Hour from Midnight in Summer . Example . Let it be required to calculate the Sun's Altitude , when he hath 23 ° 30 ... Hours 10 and 7 in the Morning . Sine of 38 ° 28 ' Compl . Lat . 9.7938317 Sine of 66 30 Compl . of Declin . 9.9623973 ...
... Hour from Midnight in Summer . Example . Let it be required to calculate the Sun's Altitude , when he hath 23 ° 30 ... Hours 10 and 7 in the Morning . Sine of 38 ° 28 ' Compl . Lat . 9.7938317 Sine of 66 30 Compl . of Declin . 9.9623973 ...
Σελίδα 147
... Hour from Noon 195688942 37 ° 30 ' doubled The natural Sine against it is 4228819 396261537 The Winter Meridian Altitude 2588190 Refts 1640629 the nat . Sine of 9 ° 26 ' , Sammer Altitude for 5 in the Morning , or 7 at Night . The ...
... Hour from Noon 195688942 37 ° 30 ' doubled The natural Sine against it is 4228819 396261537 The Winter Meridian Altitude 2588190 Refts 1640629 the nat . Sine of 9 ° 26 ' , Sammer Altitude for 5 in the Morning , or 7 at Night . The ...
Σελίδα 150
... Hour from Noon 33 ° 47 ′ ; and the Side OP , the Sun's distance from the elevated Pole 103 ° 00 ' , to find the Sun's Azimuth OZP . As Radius to cs . of 77 ° 00 ' ( the Compl . of 103 ° ) So is t . ZOP 21 ° 28 ′ ( the } 9.352088 ...
... Hour from Noon 33 ° 47 ′ ; and the Side OP , the Sun's distance from the elevated Pole 103 ° 00 ' , to find the Sun's Azimuth OZP . As Radius to cs . of 77 ° 00 ' ( the Compl . of 103 ° ) So is t . ZOP 21 ° 28 ′ ( the } 9.352088 ...
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...