Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful TablesHarper & brothers, 1859 - 150 páginas |
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Página 5
... SURFACES AND SOLIDS . Areas of Figures bounded by Right Lines .. Area of a Regular Polygon .... Quadrature of the Circle and its Parts . Mensuration of Solids . Rail - way Excavations or Embankments Regular Polyedrons ... The three ...
... SURFACES AND SOLIDS . Areas of Figures bounded by Right Lines .. Area of a Regular Polygon .... Quadrature of the Circle and its Parts . Mensuration of Solids . Rail - way Excavations or Embankments Regular Polyedrons ... The three ...
Página 58
... derived from the sines and 30sines . Thus , tang . 1 ' = sin . 1 ' cos . 1 ' cos . 1 / 11 cot . 1 ' = sin . 1 ' 1 1 sec . 1 ' = cosec . 1 ' = cos . 1 ' sin . 1 ' ; & c . , & c . BOOK III . MENSURATION OF SURFACES . ( 80. ) 58 TRIGONOMETRY .
... derived from the sines and 30sines . Thus , tang . 1 ' = sin . 1 ' cos . 1 ' cos . 1 / 11 cot . 1 ' = sin . 1 ' 1 1 sec . 1 ' = cosec . 1 ' = cos . 1 ' sin . 1 ' ; & c . , & c . BOOK III . MENSURATION OF SURFACES . ( 80. ) 58 TRIGONOMETRY .
Página 59
With Other Useful Tables Elias Loomis. BOOK III . MENSURATION OF SURFACES . ( 80. ) THE area of a figure is the space contained within the line or lines by which it is bounded . This area is determined by finding how many times the ...
With Other Useful Tables Elias Loomis. BOOK III . MENSURATION OF SURFACES . ( 80. ) THE area of a figure is the space contained within the line or lines by which it is bounded . This area is determined by finding how many times the ...
Página 61
... . Let a , b , c denote the sides of the tri- angle ABC ; then , by Geometry , Prop . 12 , B. IV . , we have BC = AB ' + AC - 2ABX AD , or a2 = b2 + c2 - 2cXAD ; whence , C A D B AD : 2 b2 + c2 - a ' 2c MENSURATION OF SURFACES . 61.
... . Let a , b , c denote the sides of the tri- angle ABC ; then , by Geometry , Prop . 12 , B. IV . , we have BC = AB ' + AC - 2ABX AD , or a2 = b2 + c2 - 2cXAD ; whence , C A D B AD : 2 b2 + c2 - a ' 2c MENSURATION OF SURFACES . 61.
Página 63
... product of the diagonals by the sine of the angle at their intersection . Demonstration . The sines of the four angles at E are all equal to each other since the adjacent angles AED , DEC are the supplements MENSURATION OF SURFACES . 63.
... product of the diagonals by the sine of the angle at their intersection . Demonstration . The sines of the four angles at E are all equal to each other since the adjacent angles AED , DEC are the supplements MENSURATION OF SURFACES . 63.
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Página 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.
Página 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.