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 45.
Σελίδα 12
... Comp . 0.0801536 . Log . 2.0841992 Is to the Base BA 121.394 As the s . of the • So is the s . of the B 33 ° 45 ' To the Perpend . AC 81.113 9.7447390 1.9090918 Here I add all the three Terms together , and when I come to the ...
... Comp . 0.0801536 . Log . 2.0841992 Is to the Base BA 121.394 As the s . of the • So is the s . of the B 33 ° 45 ' To the Perpend . AC 81.113 9.7447390 1.9090918 Here I add all the three Terms together , and when I come to the ...
Σελίδα 43
... Comp . 7.1636759 Sum and BC 334 The Difference of the half SCD 253 Sum and 2.4031205 2BD 99 1.9956352 Sum 19.0386851 Half Sum 9.5193425 Which half Sum of the Logarithms is the Tangent of 18 ° 17 ′ 44 ′′ , the double whereof is 36 ° 35 ...
... Comp . 7.1636759 Sum and BC 334 The Difference of the half SCD 253 Sum and 2.4031205 2BD 99 1.9956352 Sum 19.0386851 Half Sum 9.5193425 Which half Sum of the Logarithms is the Tangent of 18 ° 17 ′ 44 ′′ , the double whereof is 36 ° 35 ...
Σελίδα 50
... Comp . 83 ° 10 ' ) Is to the Side BC 250.2 ( or } So is the s . ACB 57 ° 54 ′ 52 " To the Side AB 213.5 Again , 2.3982873 9.9280146 2.3293979 As the s . of the BAC 96 ° 50 ' Ar . Com . 0.0030960 Is to the Side BC 250.2 So is the s ...
... Comp . 83 ° 10 ' ) Is to the Side BC 250.2 ( or } So is the s . ACB 57 ° 54 ′ 52 " To the Side AB 213.5 Again , 2.3982873 9.9280146 2.3293979 As the s . of the BAC 96 ° 50 ' Ar . Com . 0.0030960 Is to the Side BC 250.2 So is the s ...
Σελίδα 83
... Comp . B Comp . Comp Therefore in the Refolution of a right angled fphe- rical Triangle , to know the mean and extreme Parts , you must observe , that , 1. If one of the three Terms ( which befides the right Angle , comes in question ) ...
... Comp . B Comp . Comp Therefore in the Refolution of a right angled fphe- rical Triangle , to know the mean and extreme Parts , you must observe , that , 1. If one of the three Terms ( which befides the right Angle , comes in question ) ...
Σελίδα 92
... Comp . of C. ) that extent will reach from 46 ° 31 ' in the Line of Tangents , down to 27 ° 48 ' . Here the Line of Tangents is fuppos'd to be continu'd forwards beyond 45 ° ; but if the Line of Tangents ex- tend no further than 45 ...
... Comp . of C. ) that extent will reach from 46 ° 31 ' in the Line of Tangents , down to 27 ° 48 ' . Here the Line of Tangents is fuppos'd to be continu'd forwards beyond 45 ° ; but if the Line of Tangents ex- tend no further than 45 ...
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...