 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 - Side 183av John Wesley Young, Albert John Schwartz - 1915 - 223 siderUten tilgangsbegrensning - Om denne boken
 | Robert Fowler Leighton - 1880 - 428 sider
...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... | |
 | Webster Wells - 1886 - 392 sider
...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... | |
 | Edward Albert Bowser - 1890 - 420 sider
...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,... | |
 | Rutgers University. College of Agriculture - 1893 - 680 sider
...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... | |
 | George Albert Wentworth, George Anthony Hill - 1894 - 150 sider
...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... | |
 | James Howard Gore - 1898 - 232 sider
...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... | |
 | George Albert Wentworth - 1899 - 272 sider
...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.... | |
 | George Albert Wentworth - 1899 - 498 sider
...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.... | |
 | Alan Sanders - 1901 - 260 sider
...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... | |
 | 1917 - 140 sider
...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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