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 - 554 pages
...circle in terms of the segments AD and BD, into which it divides the diameter AB perpendicular to it. 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.... | |
| Robert Fowler Leighton - 1877 - 372 pages
...circle in terms of the segments AD and BD, into which it divides the diameter AB perpendicular to it. 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.... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...and in like manner it can be proved of any other two homologous sides. PROPOSITION XVHL—THEOREM. **If from a point without a circle a tangent and a secant be drawn, the tangent** will be a mean proportional between the secant and its external segment. Let AC be a secant, and CB... | |
| J. G - 1878 - 408 pages
...constant, and conversely." Hence, also, either as a separate theorem or as a corollary to " B : " " **If from a point without a circle a tangent and a secant be drawn** to it, the square on the tangent will be equal to the rectangle contained by the whole secant and the... | |
| Wisconsin. Department of Public Instruction - Education - 1879 - 380 pages
...difference of two quantities is equal to the difference of their squares. 3. Prove that, if from the same **point without a circle a tangent and a secant be drawn, the tangent** will be a mean proportional between the secant and its external segment. 4. If the faces of a square... | |
| Wisconsin - Wisconsin - 1879 - 1240 pages
...difference of two quantities is equal to the difference of their squares, 3. Prove that, if from the same **point without a circle a tangent and a secant be drawn, the tangent** will be a mean proportional between the secant and its external segment. 4. If the faces of a square... | |
| Robert Fowler Leighton - 1880 - 428 pages
...other, what is the ratio of the areas ? State and prove the proposition on which your answer depends. 5. **If from a point without a circle a tangent and a secant be drawn, the tangent** will be a mean proportional between the whole secant and its external segment. Prove. 6. If two circles... | |
| Alfred Hix Welsh - Geometry - 1883 - 326 pages
...circle. Suggestion.—What kind of a triangle is ABC? How does AC cut DB? (See Th. VI.) THEOREM XIII. **If from a point without a circle, a tangent and a secant be drawn,** terminating in the circumference, 'the square of the tangent will equal the rectangle of the secant... | |
| Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...point within a circle any chord . is drawn, the product of its two segments is constant. THEOREM XIX. **If from a point without a circle a tangent and a secant be drawn, the tangent** will be a mean proportional between the secant and its external part. Let AB be a tangent and AC a... | |
| George Albert Wentworth - 1884 - 264 pages
...secant and the external segment is constant in whatever direction the secant is drawn. 166. Theorem. **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 external segment. PROBLEMS.... | |
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