 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...their external segments are reciprocally proportional. 253. COR. If a tangent and a secant intersect, the tangent is a mean proportional between the whole secant and its external segment. EXERCISES. 1. The tangents to two intersecting circles from any point in their common chord (produced)... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...proportional.) 283. Cor. I. If through a fixed point without a circle a secant and a tangent be draion, the tangent is a mean proportional between the whole secant and its external segment. 284. Cor. n. If any two secants be drawn through a fixed point without a circle, the product of one... | |
 | Yale University - 1898 - 212 pages
...be drawn a line tangent to the circle and also a line cutting it and not passing through the center, the tangent is a mean proportional between the whole secant and its external segment. 3. Construct an equilateral triangle whose perimeter shall be 12 inches, and inscribe in it a circle.... | |
 | Mathematics - 1898 - 228 pages
...be drawn a line tangent to the circle and also a line cutting it and not passing through the center, the tangent is a mean proportional between the whole secant and its external segment. 3. Construct an equilateral triangle whose perimeter shall be 12 inches, and inscribe in it a circle.... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...the definition. 4. ^ Prove that, if from a point without a circle a secant and a tangent are drawn, the tangent is a mean proportional between the whole secant and its external segment. 5. Prove what the area of a triangle is equal to; also of a trapezoid; also of a regular polygon. Define... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...proportional.) 283. Cor. I. If through a fixed point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and its external segment. 284. Cor. n. If any two secants be drawn through a fixed point without a circle, the product of one... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...proportional. Proposition 158. Theorem. 193. 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. HINT. Draw BC and BD. Ex. 448. If two circles intersect, the tangents drawn from any point in their... | |
 | Harvard University - Geometry - 1899 - 39 pages
...segment is the same for all directions of the secant. Corollary. If a tangent and a secant intersect, the tangent is a mean proportional between the whole secant and its external segment. BOOK IY. AREAS OF POLYGONS. THEOREM I. Parallelograms having equal bases and equal altitudes are equivalent.... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...proportional.) 283. Cor. I. If through a fixed point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and its external segment. 284. Cor. H. If any two secants be drawn through a fixed point without a circle, the product of one... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...product of the segments of the other. § 261. (6) If a tangent and a secant of a circle intersect, the tangent is a mean proportional between the whole secant and its external segment. § 262. (7) If from any point on the common chord of two intersecting 8. MISCELLANEOUS THEOREMS. (1)... | |
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It follows from § 259 that if through a fixed point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and its external segment. 
