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 27.
Σελίδα 6
... double Arch : As the right Sine of PD , or DBQ , is FD , it being the half of CD the Sub- tenfe of CPD , equal to twice PD . So the right Sine of DB , or DPCA , is the right Line DH , the half of the Subtenfe DG . Hence it follows ...
... double Arch : As the right Sine of PD , or DBQ , is FD , it being the half of CD the Sub- tenfe of CPD , equal to twice PD . So the right Sine of DB , or DPCA , is the right Line DH , the half of the Subtenfe DG . Hence it follows ...
Σελίδα 9
... double numbred . Thus 5 Degrees being numbred with 10 , and 10 with 20 , and 15 with 30 , & c . fo 45 Degrees of the Tan- gents is 90 Degrees of Semi - tangents , equal to 90 Degrees of the Sines , and to 60 Degrees of the Chords ...
... double numbred . Thus 5 Degrees being numbred with 10 , and 10 with 20 , and 15 with 30 , & c . fo 45 Degrees of the Tan- gents is 90 Degrees of Semi - tangents , equal to 90 Degrees of the Sines , and to 60 Degrees of the Chords ...
Σελίδα 14
... 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 121.39 on A , is 81.11 on B. Or if you turn 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 121.39 on A , is 81.11 on B. Or if you turn the ...
Σελίδα 17
... 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 Trigonometry .
... 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 Trigonometry .
Σελίδα 43
... double whereof is 36 ° 35 ′ 28 ′′ , the quantity of the Angle D required . Again , let the Angle B be required . The half Sum 686 Ar . Com . 7.1636759 The Difference of the half ? Ar . Com . 7.5968795 Sum and CD 253 . The Difference of ...
... double whereof is 36 ° 35 ′ 28 ′′ , the quantity of the Angle D required . Again , let the Angle B be required . The half Sum 686 Ar . Com . 7.1636759 The Difference of the half ? Ar . Com . 7.5968795 Sum and CD 253 . The Difference of ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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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...