Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful Tables |
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... the year one thousand eight hundred and fifty - eight , by HARPER & BROTHERS , in the Clerk's Office of the District Court of the Southern Distric of New York . PREFACE . THE following treatise constitutes the third volume of.
... the year one thousand eight hundred and fifty - eight , by HARPER & BROTHERS , in the Clerk's Office of the District Court of the Southern Distric of New York . PREFACE . THE following treatise constitutes the third volume of.
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With Other Useful Tables Elias Loomis. PREFACE . THE following treatise constitutes the third volume of a course of Mathematics designed for colleges and high schools , and is prepared upon substantially the same model as the works on ...
With Other Useful Tables Elias Loomis. PREFACE . THE following treatise constitutes the third volume of a course of Mathematics designed for colleges and high schools , and is prepared upon substantially the same model as the works on ...
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... third terms , and dividing by the first . Hence , to find the fourth term of a proportion by loga rithms , Add the logarithms of the second and third terms , and from their sum subtract the logarithm of the first term . Ex . 1. Find a ...
... third terms , and dividing by the first . Hence , to find the fourth term of a proportion by loga rithms , Add the logarithms of the second and third terms , and from their sum subtract the logarithm of the first term . Ex . 1. Find a ...
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... third terms . The characteristic must afterward be diminished by 10 . Ex . 2. Find a fourth proportional to 6853 , 489 , and 38750 . The complement of the logarithm of 6853 is 6.164119 The logarithm of 66 66 489 is 2.689309 38750 is ...
... third terms . The characteristic must afterward be diminished by 10 . Ex . 2. Find a fourth proportional to 6853 , 489 , and 38750 . The complement of the logarithm of 6853 is 6.164119 The logarithm of 66 66 489 is 2.689309 38750 is ...
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... third may be found by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides . Hence , representing the hypothenuse , base , and perpendicu- lar by the initial letters of these ...
... third may be found by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides . Hence , representing the hypothenuse , base , and perpendicu- lar by the initial letters of these ...
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Common terms and phrases
9 I I altitude angle of elevation arithm base chains circle Co-sine Co-tangent complement computed correction cosecant course and distance decimal diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm frustum given number given the angle height Hence horizontal plane hypothenuse inches latitude and departure length LO LO LO logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles parallel parallel sailing perpendicular places plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract surface tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction wyll yards zoids ΙΙ ΙΟ
Popular passages
Page 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Page 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.
Page 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Page 54 - 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 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Page 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Page vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.
Page 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.