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" I. When the given point, A, is in the circumference. HINT. — What is the angle formed by a radius and a tangent at its extremity ? II. When the given point, A, is without the circle. \ Construction. Join A, and 0 the center of the given circle. On OA... "
Plane and Solid Geometry - Σελίδα 105
των Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
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The New Mathematician's Guide: Containing the Elements of Universal ...

Willem Jacob 's Gravesande - 1749 - 187 σελίδες
...a given Side. IN THE THIRD BOOK. 273. Prop. i. To fad the Center of a given Circle. 274. Prop. 17. From a given Point to draw a. Tangent to a given Circle. IN THE SIXTH BOOK. 275. Prop. 10. To cut a given Line in the fame Proportion that another is cut in....

The Elements of Universal Mathematics, Or Algebra: To which is Added, A ...

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...givfn Side. IN THE THIRD BOOK. 273. Prop. i. To find the C'.nter of a given Circle. 274. Prop. 17. From a given Point to draw a Tangent to a given Circle. IN THE SIXTH BOOK. 275. Prop. 10. To cut a given Line in the famt Proportion that another is cut in....

Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 272 σελίδες
...it met it in two points it would fall wholly within the circle (III. 2.) •• PROP. XI. PROBLEM. From a given point to draw a tangent to a given circle. Let A be the given point, and FDC the given circle ; it is required from the point A to draw a tangent...

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1866 - 320 σελίδες
...circumference described in which a given triangle, ABC, shall be inscribed. PROBLEM XV. 314. Through a given point to draw a tangent to a given circle. a* First. Let the given point A be in the circumference. Find the centre of the circle, C (Prob. XIV.)...

Proceedings of the Edinburgh Mathematical Society, Τόμοι 5-6

Edinburgh Mathematical Society - 1887
...angle, and a side equal to a given straight line. The construction is effected by the 13th problem. 24. From a given point to draw a tangent to a given circle. Euclid III. 17. See figure 41. Let DBE be the given circle, A the given point. Find O the centre of...

Principles of Plane Geometry

James Wallace MacDonald - 1889 - 63 σελίδες
...triangle. See Book I., Proposition XXX. Proposition XXXIII. A Problem. Proposition XXXIV. A Problem. 197. From a given point to draw a tangent to a given circle. See Book III., Proposition XII., and Proposition XVIII., Corollary II. Proposition XXXV. A Problem....

Prnciples of Plane Geometry

James Wallace Macdonald - 1894 - 65 σελίδες
...parallelogram when its adjacent sides and their included angle are given. Proposition XXXIV. A Problem. 197. From a given point to draw a tangent to a given circle. See Book III., Proposition XII., and Proposition XVIII., Corollary II. Proposition XXXV. A Problem....

Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 σελίδες
...given : (1) Three sides. (2) Two sides and the included angle. (3) Two angles and the included side. (4) Two angles and a non-included side. (5) Two sides...A, is without the circle. Construction. Join A, and 0 the center of the given circle. On OA as a diameter, construct a circumference, intersecting the...

Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 σελίδες
...independent parts must be given. Ex. 403. Are the three angles of a triangle three independent parts, and can a triangle be constructed when the three angles...is without the circle. \ Construction. Join A, and 0 the center of the given circle. On OA as a diameter, construct a circumference, intersecting the...

Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 σελίδες
...independent parts must be given. Ex. 403. Are the three angles of a triangle three independent parts, and can a triangle be constructed when the three angles...the angle formed by a radius and a tangent at its exti'emity ? II. When the given point, A, is without the circle. Construction. Join A, and 0 the center...




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