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" The secant of an arc is the line drawn from the centre of the circle through one extremity of the arc, and limited by the tangent passing through the other extremity. Thus, OC is the secant of the arc AB. "
Elements of Surveying: With a Description of the Instruments and the ... - Σελίδα 35
των Charles Davies - 1839 - 261 σελίδες
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 2

1801 - 658 σελίδες
...drawn from the centre through the other end of the arc. So AG or DK is the tangent of AB, or of BCD. i The secant of an arc is the line, drawn from the centre through the end of the arc, and terminated by the tangent. So FG or FK is the secant of AB, or of BCD....

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 σελίδες
...triangle OAT, the angle OATis a right angle and AOT= 45°, /. ATO = 45°=:AOTand AT=AO. 29. DBF. 9. The Secant of an arc is the line drawn from the centre through the end of the arc, and produced till it meets the tangent ; Thus, the construction remaining...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 σελίδες
...triangle OAT, the angle OAT is a right angle and AOT= 45°, .-. ATO = 45°=AOTand AT=AO. 29. DBF. 9. The Secant of an arc is the line drawn from the centre through the end of the arc, and produced till it meets the tangent ; Thus, the construction remaining...

A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Τόμος 22

Thomas Curtis - 1829 - 878 σελίδες
...one extremity of an arc, meeting the diameter produced which passes through the other extremity. 9. The secant of an arc is the line drawn from the centre to the termination of the tangent. 10. The sine, tangent, secant, &c., of the complement of an arc...

Elements of Surveying

Charles Davies - 1830 - 390 σελίδες
...drawn through the other extremity and the centre of the circle. AC is the tangent of the arc AB. 33. The secant of an arc is the line drawn from the centre...by the tangent passing through the other extremity. OC is the secant of the arc AB. 34. The three lines BD, AC, and OC, depend for their values on the...

A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - 372 σελίδες
...extremity. DEF. VIII. The cotangent of an arc is the tangent of the complement of that arc. DEF. IX. The secant of an arc is the line drawn from the centre through one extremity of the arc, and terminated by the tangent to the other extremity. DEF. X. The...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 σελίδες
...which passes through the other extremity. Thus AT is the tangent of the arc AM, or of the angle ACM. The secant of an arc is the line drawn from the centre...one extremity of the arc and limited by the tangent drawn, through the other extremity. Thus CT is the secant of the arc AM, or of the angle ACM. The versed...

Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - 1837 - 342 σελίδες
...and is limited by a line drawn through the other extremity and the centre of the circle. Thus, .#Cis the tangent of the arc AB. 47. The secant of an arc...other extremity. Thus, OC is the secant of the arc AB. 48. The four lines, BD, OD, AC, OC, depend for theii values on the arc AB and the radius OA ; they...

Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 σελίδες
...and is limited by a line drawn through the other extremity and the centre of the circle. Thus, AC is the tangent of the arc AB. 47. The secant of an arc...the secant of the arc AB. sin AB for BD cos AB for OJ) tan AB for AC sec AB for OC. 49. If ABE be equal to a quadrant, or 90°, then EB will be the complement...

Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - 1841 - 414 σελίδες
...the arc AB. 45. The cosine of an arc is the part of the diameter intercepted between the foot of ths sine and centre. Thus, OD is the cosine of the arc...other extremity. Thus, OC is the secant of the arc AB. 48. The four lines, BD, OD, AC, OC, depend for their ralues on the arc AB and the radius OA ; they...




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