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 |
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Page 98
... middle . From this the numbers are repeated , 2 , 3 , 4 , & c . which may be read 20 , 30 , 40 , & c . The logarithms of numbers between 1 and 10 are represented by portions of the first half of the line ; and the logarithms of numbers ...
... middle . From this the numbers are repeated , 2 , 3 , 4 , & c . which may be read 20 , 30 , 40 , & c . The logarithms of numbers between 1 and 10 are represented by portions of the first half of the line ; and the logarithms of numbers ...
Page 102
... middle term of the same name , will reach from the other middle term to 102 GUNTER'S SCALE .
... middle term of the same name , will reach from the other middle term to 102 GUNTER'S SCALE .
Page 103
... middle term to the fourth term . ( Art . 185. ) In a trigonometrical proportion , two of the terms are the lengths of sides of the given triangle ; and the other two are tabular sines , tangents , & c . The former are to be taken from ...
... middle term to the fourth term . ( Art . 185. ) In a trigonometrical proportion , two of the terms are the lengths of sides of the given triangle ; and the other two are tabular sines , tangents , & c . The former are to be taken from ...
Page 141
... middle terms on the fixed part ; and against the other middle term on the slider , will be the fourth term on the fixed part . Or the first term may be taken on the fixed part ; and then the fourth term will be found on the slider ...
... middle terms on the fixed part ; and against the other middle term on the slider , will be the fourth term on the fixed part . Or the first term may be taken on the fixed part ; and then the fourth term will be found on the slider ...
Page 14
... middle of the base to the arc , as PO . ( Fig . 9. ) V. A Circular Zone is the space between two parallel chords , as AGHB . ( Fig . 15. ) It is called the middle zone , when the two chords are equal . VI . A Circular Ring is the space ...
... middle of the base to the arc , as PO . ( Fig . 9. ) V. A Circular Zone is the space between two parallel chords , as AGHB . ( Fig . 15. ) It is called the middle zone , when the two chords are equal . VI . A Circular Ring is the space ...
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.