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A complete theory of the construction and properties of vessels; with practical conclusions for the management of ships, made easy to navigators. ... des vaissaux, of the celebrated Leonar

A complete theory of the construction and properties of vessels; with practical conclusions for the management of ships, made easy to navigators. ... des vaissaux, of the celebrated Leonar

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1790 Excerpt: ...readily determine the Velocity which the Vessel will receive, by the aid of this Equality _i_ = 4 F. fI",,. 4? zae Sin. p and, and, by this means, we know how to estimate the greatness of the acting Force: But with respect to the Place of application of this Force, that will be the Subject of Enquiry in the following Chapter. § 39 But before this Chapter is finished we shall take notice of a very singular Paradox in the Expression, V P Cos.p4-fQSin. p. which denotes the Force of the Resistance, and which becomes = P when p--and will be--Qjf p = 90. The first of these Cases will happen when the Vessel moves in the Direction of the great Axe B A; and the other when it moves in that of the lesser Axe C D, from whence it seems that since is several times greater than P, the least Resistance ought to take place in the direct Course, where the Lee-way p vanishes. But it is certain that the Resistance will become still less for a particular Angle of Lee-way, which is found by taking the P Tang. p--and must in consequence be very P small; and since we thenhaveSin.p= I 4 and--is less than Unity. Here is there's/ p-f c fore this great Paradox, that by giving to the Vef p sel a small Lee-way f, such that Tang. p----, the Resistance will be found less than in the direct Course but it is precisely the Case which we have already remarked, where the Angle XF Y vanishes, so that the Resistance is here directly contrary to the Motion F X. CHAP. CHAP. VI. CHAP. VI. Upon the Place of Application of the acting Force, % 40. FROM the Manner in which we have began this Research, by considering the Body as a rectangular Parallelogram, and the Force of the Resistance as applied to the Center of the Body pIate Ir F; and also when we have afterwards generalized Fig-&qu...