# Prodromus of a Practical Treatise on the Mathematical Arts: Containing Directions for Surveying and Engineering

E. Gates, 1838 - Civil engineering - 191 pages

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Page 46 - ... take the length thereof, from the fore part of the main stem to the after part of the stern post, above the upper deck, the breadth thereof, at the broadest part above the main wales...
Page 154 - OF GEOLOGY. THE science of Geology consists in a systematic arrangement of facts, explaining the structure of the earth. Our observations are limited to its exterior rind or coats. We know very little of its interior structure. But the inequalities of its surface often give us admission to a considerable depth ; from which we should be totally excluded were its surface every where smooth like a pacific sea.
Page 85 - RULE. — As the distance between the threads of the screw is to the circumference of the circle described by the power, so is the power to the weight to be raised.
Page 46 - ... ^three-fifths of the breadth, and take the depth from the under side of the deck plank to the ceiling in the hold, then multiply and divide as aforesaid, and the quotient shall be deemed the tonnage.
Page ii - In the Clerk's Office of the District Court of the Northern District of New York.
Page 111 - THEOREM II. As the Square of the Transverse Axis Is to the Square of the Conjugate : So is the Rectangle of the Abscisses ; To the Square of their Ordinate. That is, AB* : ah* or ^c1 : ac1 : : AD . DB : For, by theor.
Page 46 - From the length take three-fifths of the breadth and multiply the remainder by the breadth and depth, and the product divided by 95 will give the tonnage of a single decker; and the same for a double decker, by merely making the depth equal to half the breadth. CARPENTERS' RULE. Multiply together the length of the keel, the breadth of the main beam, and the depth of the hold, and the product divided by 95 will be the carpenters...
Page 139 - ... safe. But, as it did not yet come up entirely to the inventor's expectations, he proceeded to contrive a third lamp, in which he proposed to surround the oil vessel with a number of capillary tubes. Then it struck him that if he cut off the middle of the tubes, or made holes in metal plates, placed at a distance from each other equal to the length of the tubes, the air would get in better, and the effect in preventing the communication of explosion would be the same.
Page 45 - ... it is called a square pyramid. If the base be a triangle, it is called a triangular pyramid. — But if the base be round, it is called a cone. The top is called the vertex ; and a perpendicular line from the vertex to the base is called the perpendicular height. ART. 1. The solid contents of any pyramid or cone may be found by multiplying the area of the base by J of its perpendicular height. The frustrum of a pyramid or cone is what remains after the top is cut off, by a plane parallel to the...
Page 11 - Romans only used seven numeral letters, being the seven following capitals : viz. I for one ; V for five ; X for ten ; L for fifty ; C for a hundred ; D for five hundred ; M for a thousand.