A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the Nature and Use of Logarithms : Being the Second Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges |
From inside the book
Results 1-5 of 40
Page 15
... departure , and the difference of longitude , may be calculated . The two first may be found by plane sailing ; the last by middle latitude sailing , or more correctly by Mercator's sailing . See Sec . II , and III . 34. The log - line ...
... departure , and the difference of longitude , may be calculated . The two first may be found by plane sailing ; the last by middle latitude sailing , or more correctly by Mercator's sailing . See Sec . II , and III . 34. The log - line ...
Page 18
... Departure is the deviation of a ship east or west from a meridian . If she sails on a parallel of latitude , her departure is the length of that portion of the parallel over which she passes . But if her course is oblique , she is ...
... Departure is the deviation of a ship east or west from a meridian . If she sails on a parallel of latitude , her departure is the length of that portion of the parallel over which she passes . But if her course is oblique , she is ...
Page 19
... departure for the first portion is om , for the second sn , for the third tC . And the whole departure is om + sn + tC ; which , on account of the obliquity of the meridians , is less than Bu + vt + tC = BC the meridian distance ...
... departure for the first portion is om , for the second sn , for the third tC . And the whole departure is om + sn + tC ; which , on account of the obliquity of the meridians , is less than Bu + vt + tC = BC the meridian distance ...
Page 20
... Departure is the base BC , which is always opposite to the course ; and The Difference of Latitude is the ... departure ; or 3. The course and difference of latitude ; or 4. The distance and departure ; or 5. The distance and difference ...
... Departure is the base BC , which is always opposite to the course ; and The Difference of Latitude is the ... departure ; or 3. The course and difference of latitude ; or 4. The distance and departure ; or 5. The distance and difference ...
Page 21
... departure and dif- ference of latitude are required . Ans . 16.5 and 29.7 leagues . The proportions in this and the following cases may be va- ried , by making different sides radius , as in Trigonometry Sec . III . CASE II . The course ...
... departure and dif- ference of latitude are required . Ans . 16.5 and 29.7 leagues . The proportions in this and the following cases may be va- ried , by making different sides radius , as in Trigonometry Sec . III . CASE II . The course ...
Other editions - View all
A Treatise of Plane Trigonometry: To Which Is Prefixed, a Summary View of ... Jeremiah Day No preview available - 2017 |
A Treatise of Plane Trigonometry: To Which Is Prefixed, a Summary View of ... Jeremiah Day No preview available - 2018 |
A Treatise of Plane Trigonometry: To Which Is Prefixed a Summary View of the ... Jeremiah Day No preview available - 2018 |
Common terms and phrases
ABC Fig ABCD altitude axis base breadth bung diameter calculation cask circle circular sector circular segment circumference column cosecant cosine cotangent course cube cubic decimal departure Diff difference of latitude difference of longitude distance divided earth equal to half equator figure find the area find the SOLIDITY frustum given sides gles greater hypothenuse inches inscribed lateral surface length less logarithm longitude measured Mercator's meridian meridional difference middle diameter miles multiply the sum number of degrees number of sides oblique parallelogram parallelopiped perpendicular perpendicular height plane sailing prism PROBLEM proportion pyramid quadrant quantity quotient radius ratio regular polygon right angled triangle right cylinder rods rule secant sector segment ship sine sines and cosines slant-height sphere spherical subtract tables tangent term theorem trapezium triangle ABC Trig trigonometry wine gallons zone
Popular passages
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 43 - 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 50 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Page 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 69 - 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 118 - 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 89 - Divide the height of the segment by the diameter of the circle ; look for the quotient in the column of heights in the table ; take out the corresponding number in the column of areas ; and multiply it by the square of the diameter.