 | Robert Fowler Leighton - 1880 - 412 σελίδες
...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 - 371 σελίδες
...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 - 393 σελίδες
...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
...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 - 138 σελίδες
...is equal to two right angles. 4. 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. 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 - 210 σελίδες
...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 - 473 σελίδες
...PROPOSITION XXXII. THEOREM. 378. 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. Let any two chords MN and PQ intersect at O. To prove that OM X ON = OQ X OP. Proof. Draw MP and NQ.... | |
 | George Albert Wentworth - 1899 - 256 σελίδες
...PROPOSITION XXXII. THEOREM. 378. 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. Let any two chords MN and PQ intersect at 0. To prove that OM X ON = OQ X OP. Proof. Draw MP and NQ.... | |
 | Arthur Schultze - 1901
...EXERCISES Ex. 1023. If two equal lines are divided externally so that the product of the segments of one is equal to the product of the segments of the other, the segments are equal respectively. * Ex. 1024. Two triangles are equal if the base, the opposite... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
...EXERCISES Ex. 1023. If two equal lines are divided externally so that the product of the segments of one is equal to the product of the segments of the other, the segments are equal respectively. * Ex. 1024. Two triangles are equal if the base, the opposite... | |
| |
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. 
