The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying |
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying Jeremiah Day Limited preview - 2024 |
Common terms and phrases
ABCD arithmetical axis base breadth calculation circle circular segment circumference column cone cosecant cosine cotangent course cylinder decimal departure diameter Diff difference of latitude difference of longitude divided earth equal equator feet figure find the SOLIDITY frustum given sides gles greater horizon hypothenuse inches inscribed ISOPERIMETRY JEREMIAH DAY lateral surface length loga logarithm measured Mercator's Merid meridional difference miles multiplied negative number of degrees number of sides object oblique parallel of latitude parallelogram parallelopiped perimeter perpendicular perpendicular height plane sailing polygon prism PROBLEM proportion pyramid quadrant quantity quotient radius regular regular polygon right angled triangle right cylinder rithms rods root scale secant segment similar triangles sine sines and cosines slant-height sphere spherical square subtract tables tangent term theorem trapezium triangle ABC Trig trigonometry whole zone
Popular passages
Page 94 - Congress of the United States, entitled "An Act for the encouragement of learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies, during the time therein mentioned.
Page 81 - 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.
Page 94 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
Page 39 - A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle, which side remains fixed.
Page 57 - When a quantity is greater than any other of the same class, it is called a maximum. A multitude of straight lines, of different lengths, may be drawn within a circle. But among them all, the diameter is a maximum. Of all sines of angles, which can be drawn in a circle, the sine of 90° is a maximum. When a quantity is less than any other of the same class, it is called a minimum. Thus, of all straight lines drawn from a given point to a given straight line, that which is perpendicular to the given...
Page 67 - It will be sufficient to lay the edge of a rule on C, so as to be parallel to a line supposed to pass through B and D, and to mark the point of intersection G. 126. If after a field has been surveyed, and the area computed, the chain is found to be too long or too short ; the true contents may be found, upon the principle that similar figures are to each other as the squares of their homologous sides.
Page 114 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Page 94 - An act for the encouragement of learning, by securing copies of maps, charts, and books, to the authors and proprietors of such copies during the times therein mentioned,' and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.
Page 25 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...