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 21
... drawn from the cen- ter of the circle through one extremity of the arc , and is lim ited by the tangent drawn through the other extremity . Thus CI is the secant of the arc AF , or of the angle ACF . ( 26. ) The cosine of an arc is the ...
... drawn from the cen- ter of the circle through one extremity of the arc , and is lim ited by the tangent drawn through the other extremity . Thus CI is the secant of the arc AF , or of the angle ACF . ( 26. ) The cosine of an arc is the ...
Página 23
... draw the tangents of the same arcs , we shall find the tangent of 10 ° equals 0.176 inch ;. 70 ° ( 6 66 20 ° 66 0.364 66 66 66 30 ° 66 0.577 66 66 66 40 ° 66 0.839 66 66 66 45 ° ( 6 1.000 66 66 66 50 ° 66 1.192 60 ° 66 60 ° 66 1.732 66 ...
... draw the tangents of the same arcs , we shall find the tangent of 10 ° equals 0.176 inch ;. 70 ° ( 6 66 20 ° 66 0.364 66 66 66 30 ° 66 0.577 66 66 66 40 ° 66 0.839 66 66 66 45 ° ( 6 1.000 66 66 66 50 ° 66 1.192 60 ° 66 60 ° 66 1.732 66 ...
Página 33
... draw DF perpen- dicular to CA. Then DF will be the tangent , and CF the se- cant of the angle C. Because the triangles CAB , CDF are similar , we have CD : CA :: DF : AB , or Also , or R : CA :: tang . C : AB . CD : CA :: CF : CB , R ...
... draw DF perpen- dicular to CA. Then DF will be the tangent , and CF the se- cant of the angle C. Because the triangles CAB , CDF are similar , we have CD : CA :: DF : AB , or Also , or R : CA :: tang . C : AB . CD : CA :: CF : CB , R ...
Página 37
... drawn per- pendicular to AB . Then , because the triangle ACD is right angled at D , we have or C A D R : sin . A ... draw AE , and produce it to F. Then AD is the sum of CB and CA , and BE is their difference . D The sum of the two ...
... drawn per- pendicular to AB . Then , because the triangle ACD is right angled at D , we have or C A D R : sin . A ... draw AE , and produce it to F. Then AD is the sum of CB and CA , and BE is their difference . D The sum of the two ...
Página 38
... drawn to the opposite side or base , the whole base will be to the sum of the other two sides , as the difference of those two sides is to the difference of the segments of the base . For demonstration , see Geometry , Prop . 31 , Cor ...
... drawn to the opposite side or base , the whole base will be to the sum of the other two sides , as the difference of those two sides is to the difference of the segments of the base . For demonstration , see Geometry , Prop . 31 , Cor ...
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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.