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
... Angles Trigonometrical Formulæ Computation of a Table of Sines , Cosines , & c ..... BOOK III . MENSURATION OF SURFACES AND SOLIDS . Areas of Figures bounded by Right Lines .. Area of a Regular Polygon .... Quadrature of the Circle and ...
... Angles Trigonometrical Formulæ Computation of a Table of Sines , Cosines , & c ..... BOOK III . MENSURATION OF SURFACES AND SOLIDS . Areas of Figures bounded by Right Lines .. Area of a Regular Polygon .... Quadrature of the Circle and ...
Página 21
... angles is 180 ° , either angle is the supplement of the sum of the other two . ( 22. ) The sine of an arc is the perpendicular let fall from one extremity of the arc on the radius passing through the other extremity . Thus FG is the ...
... angles is 180 ° , either angle is the supplement of the sum of the other two . ( 22. ) The sine of an arc is the perpendicular let fall from one extremity of the arc on the radius passing through the other extremity . Thus FG is the ...
Página 22
... angles is the cosine , cotangent , and cosecan of the other . D Cotan . L Cosine · Sec . I ( 27. ) The sine ... angle , BCF , is equal to ra- dius plus the cosine CG ; that is , to BG . M K E Sine Tangent Cos . Vers . A G H ( 28 ...
... angles is the cosine , cotangent , and cosecan of the other . D Cotan . L Cosine · Sec . I ( 27. ) The sine ... angle , BCF , is equal to ra- dius plus the cosine CG ; that is , to BG . M K E Sine Tangent Cos . Vers . A G H ( 28 ...
Página 24
... angle . If a sine is required , look for the degrees at the top of the page , and for the minutes on the left ; then , directly under the given number of degrees at the top of the page , and opposite to the minutes on the left , will be ...
... angle . If a sine is required , look for the degrees at the top of the page , and for the minutes on the left ; then , directly under the given number of degrees at the top of the page , and opposite to the minutes on the left , will be ...
Página 32
... angle is to the opposite side , or the cosine of either acute angle to the adjacent side . Let the triangle CAB be right angled at A , then will R : CB :: sin . C : BA :: cos . C : CA. From the point C as a center , with a B radius ...
... angle is to the opposite side , or the cosine of either acute angle to the adjacent side . Let the triangle CAB be right angled at A , then will R : CB :: sin . C : BA :: cos . C : CA. From the point C as a center , with a B radius ...
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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.