 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...and the second point of intersection of the secant and the circle. PROPOSITION XXXIII. THEOREM. 390. If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional betiveen the whole secant and its external segment. CP Given the secant PAB and the tangent PC to the... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...therefore similar. Form a proportion making PD the mean proportional. PROPOSITION IV 182. Theorem: If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the entire secant (to the concave arc) and its... | |
 | Education - 1911 - 1030 pages
...Define a parallelogram. (6) Prove that the opixisite sides of a parallelogram are equal. 2. Prove that if from a point without a circle a tangent and a secant be drawn. the tangent Is a mean proportional between the whole secant and its external segment. 3.... | |
 | United States. Office of Education - 1911 - 1154 pages
...Define a parallelogram. (6) Prove that the opposite sides of a parallelogram are equal. 2. Prove that if from a point without a circle a tangent and a secant be drawn. the tangent is a mean proportional between the whole secant and its external segment. 3.... | |
 | Geometry, Plane - 1911 - 192 pages
...common point. 2. Upon a given straight line to construct a segment which shall contain a given angle. 3. If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment. 4.... | |
 | Education - 1912 - 632 pages
...measuring 8 units. 12. To transform a scalene triangle into an equivalent right isosceles triangle. 13. If from a point without a circle a tangent and a secant are drawn, the tangent is a mean proportional between the whole secant and its external segment. Prove. LICENSE TO TEACH IN HIGH... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...diameter AF be drawn, then AB : AD = AF: AC. Ex. 836. In the same diagram, BD : FC = AD : AC. Ex. 837. If from a point without a circle a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its exterior segment. Ex. 838.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...diameter AF be drawn, then AB:AD = AF: AC. Ex. 836. In the same diagram, BD : FC = AD : AC. Ex. 837. If from a point without a circle a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its exterior segment. Ex. 838.... | |
 | Education - 1914 - 690 pages
...the three interior angles of any plane triangle are together equal to two right angles. 2. Prove that if from a point without a circle, a tangent and a secant both be drawn, the secant terminating in the concave arc, the tangent is a mean proportional between... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...external segment of the secant. 435. THEOREM. If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment. G FIG. 201. Given the circle with PC a tangent and PB a secant drawn from the external point P. To... | |
| |
If from a point without a circle, a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment. 
