 | Great Britain. Committee on Education - 1855 - 976 sider
...touch a given circle. 9. The angles in the same segment of a circle are equal to one another. 10. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other. ALGEBRA.— (SECOND SECTION.)... | |
 | Thomas Solly - 1856 - 312 sider
...to tell a person unacquainted with geometry, that when two lines intersect each other in any point within a circle, the rectangle contained by the segments of the one, will never be equal to the rectangle contained by the segments of the other, except when the lines... | |
 | Thomas Solly - 1856 - 320 sider
...to tell a person unacquainted with geometry, that when two lines intersect each other in any point within a circle, the rectangle contained by the segments of the one, will never be equal to the rectangle contained by the segments of the other, except when the lines... | |
 | War office - 1858 - 578 sider
...the circumference of a circle the straight line which joins them shall fall within the circle. 2. If two straight lines cut one another within a circle the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other. VOLUNTARY PORTION. about... | |
 | W. Davis Haskoll - 1858 - 422 sider
...less than a right angle, and the lesser segment if the given angle is greater than a right angle. If two straight lines cut one another within a circle, the rectangle contained by the segments of one line will be equal to the rectangle of the segments of the other line. In any circle the square... | |
 | Euclides - 1858 - 248 sider
...most important properties of lines cutting one another within a circle ; as Prop. 35, bk. iii. , "if two straight lines cut one another within a circle, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other. " 4. By this proposition... | |
 | Robert Potts - 1860 - 380 sider
...segment BAC is cut off, containing an angle equal to the given angle DQEF PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained btf the segments of one of them, is equal to the rectangle contained by the si'gmrnh of the other.... | |
 | Alexander Hadden Hutchinson - 1861 - 128 sider
...were either killed or missing ; of how many did his army consist before the battle ? Euclid. 1. If two straight lines cut one another within a circle the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other. 2. If a point be taken... | |
 | Euclides - 1861 - 464 sider
...instance of the method recommended, let the Learner take that important Proposition, 35, III, " If two st. lines cut one another within a circle, the rectangle contained by the segments of one of them is'equal to the rectangle contained by the segments of the other." After weighing these... | |
 | 1863 - 300 sider
...longer than the other, what are its dimensions? EUCLID. — Book III. 1. Proposition 35. Theorem. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other. 2. A projected railway... | |
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If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other. 
