A Treatise on Ship-building and Navigation: In Three Parts Wherein the Theory, Practice, and Application of the Necessary Instruments are Perspicuously Handled. ... By Mungo Murray. ... To which is Added by Way of Appendix, and English Abridgment of Another Treatise on Naval Architecture, ... by M. Duhamel, ...

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D. Henry and R. Cave, 1754 - 70 pàgines
 

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Pàgina 74 - To ßnd a fourth proportional to three given numbers i or to work a question in the rule of three by logarithms. RULE. Add the logarithms of the second and third terms together, and from the sum subtract the logarithm of the first term, the remainder will be the logarithm of the fourth term.
Pàgina 204 - A, it follows that (pr), or the height of the pole above the horizon is equal to the latitude of the place.
Pàgina 244 - ... difference of latitude, as radius to the cosine of the course. These proportions are exact, even for a spheroid, a cylinder, or any solid of revolution. If there were any incorrectness in plane sailing, it would extend to Mercator's sailing also ; for one is founded on the other. In Mercator's sailing, the proper difference of latitude is to the meridional difference of latitude, as the departure to the difference of longitude. Now the departure is calculated by plane sailing ; and any error...
Pàgina 13 - ... 12 : : 12": 24. Art, 168. — If four numbers are in geometrical proportion, the product of the extremes is equal to the product of the means. Thus, 12 : 8 : : 15 : 10, for 12 x 10 = 8 x 15. Art. 169. — By multiplying the extremes and means together, a proportion is reduced to an equation. When the product of any two numbers is equal to the product of any other two, the numbers may be formed into a proportion by taking the factors on one side of the equation for the extremes, and those on the...
Pàgina 79 - The fafhion piece, of which there is one on each fide : Their heels are faftened to the ftern poft at the height of the floor ribbands, and their heads are faftened to the wing tranfom. XIV. / T. A floor timber. It is laid acrofs the keel, to which it is faftened by a bolt through the middle.
Pàgina 13 - If four quantities be proportional, the product of " the extremes will be equal to the product of the means ;" for let let a : b :: с : d, then, by Art.
Pàgina 141 - The proper centers for all the frames being found, and the arches defcribed, the bend mould muft be fo placed on the rifing line of the floor, that the back of it may touch the back of the under breadth fweep. But the general practice is to...
Pàgina 234 - ... arc (or to one of the like number of degrees) in another circle ; as the radius of the one is to the radius of the other ; therefore the sine, tangent, or secant of any arc is proportional to the sine, tangent, or secant of a like arc, as the radius of the given arc is to...

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