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Books Books 1 - 10 of 109 on If two chords intersect in a circle, the product of the segments of one is equal....  
" If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other. "
Plane Geometry - Page 183
by John Wesley Young, Albert John Schwartz - 1915 - 223 pages
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Harvard Examination Papers

1880 - 412 pages
...the quadrilateral. 6. If two chords intersect within the circle, the product of the segments of the one is equal to the product of the segments of the other. Prove. What does this proposition become when the chords are replaced by secants intersecting without...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 371 pages
...C'D'' (3) (3) 137 PROPOSITION XXIX. THEOREM. 291. If any two chords are drawn through a fixed point in a circle, the product of the segments of one is...equal to the product of the segments of the other. Let A~B and A'B' be any two chords of the circle ABB', passing through the point P. To prove that Ap^BP...
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The elements of plane and solid geometry: with numerous exercises

Edward Albert Bowser - Geometry - 1890 - 393 pages
...Proposition 29. Theorem. 335. If two chords cut each other in a circle, the product of the segments of the one is equal to the product of the segments of the other. Hyp. Let the chords AB, CD cut at P. To prove AP X BP = CP x DP. Proof. Join AD and BC. In the AS APD,...
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Report

Rutgers University. College of Agriculture - Technology & Engineering - 1893
...the intercepted arcs. 4. If two chords cut each other in a circle, the product of the segments of the one is equal to the product of the segments of the other. 5. The area of a triangle is equal to half the product of its base and altitude. 6. The areas of si...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 138 pages
...interior angles not adjacent ? 2. The sum of the angles of a triangle is equal to two right angles. 4. If two chords intersect in a circle the product of...equal to the product of the segments of the other. 5. Two triangles having an angle of one equal to an angle of the other are to each other as the product...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 210 pages
...adjacent to that side. PROPOSITION XVIII. THEOREM. 229. If any tiuo chords are drawn through a fixed point in a circle, the product of the segments of one is...equal to the product of the segments of the other. Let AB and A'B' be any two chords of the circle ABB' passing through the point P. To prove that Ap...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 256 pages
...second equality from the first. Then Iff - AC* = 2 BC X MD. Q . E . D PROPOSITION XXXII. THEOREM. 378. If two chords intersect in a circle, the product of...equal to the product of the segments of the other. Let any two chords MN and PQ intersect at 0. To prove that OM X ON= OQ X OP. Proof. Draw HP and NQ....
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 473 pages
...the second equality from the first. Then Zz? - AC* = 2 BC X MD. QE D PROPOSITION XXXII. THEOREM. 378. If two chords intersect in a circle, the product of...equal to the product of the segments of the other. Let any two chords MN and PQ intersect at O. To prove that OM X ON = OQ X OP. Proof. Draw MP and NQ....
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Elements of Plane Geometry

Alan Sanders - Geometry, Plane - 1901 - 247 pages
...is equal to the square of the radius. PROPOSITION XXII. THEOREM 528. // two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other. Let the chords AB and CD intersect at E. To Prove AE . EB = CE . ED. Proof. Draw AC and DB. Prove A...
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Questions Set at the Examinations, Volumes 18-23

Universities and colleges - 1917
...are equal, respectively, to the three sides of the other. 2. a) Prove: If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other. b) A and B are two points on a railway curve which is an arc of a circle. If the length of the chord...
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