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 external segment. Plane Geometry - Page 146by Arthur Schultze, Frank Louis Sevenoak - 1911 - 233 pagesFull view - About this book
| Harvard University - 1876 - 324 pages
...triangles thus formed ? Prove. How is this proposition useful in proving the Pythagorean proposition. 4. **If from a point, without a circle, a tangent and a secant** are drawn, the tangent is a mean proportional between the entire secant and the part without the circle.... | |
| Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...centers of the circles are collinear. If a secant and a tangent are drawn to a circle, the measure of **the tangent is the mean proportional between the secant and its external segment.** K two secants are drawn to a circle from a point outside the circle, the products of the secants and... | |
| Mathematics - 1904 - 1000 pages
...proving the triangles similar the required proportionalities may be established. After proving 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," how many teachers strike while... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...XIII. THEOREM 406. If from a point without a circle a secant and a tangent are drawn to the circle, **the tangent is the mean proportional between the secant and its external segment.** D Given AD a tangent and AC a secant from the point A to the circle BCD. To prove that Proof. 1. 2.... | |
| University of Mississippi - 1903 - 170 pages
...included by the opposite sides (produced) of an inscribed quadrilateral intersect at right angles. 5. **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 the external sequent. 6.... | |
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