 | Euclid - Geometry - 1810 - 554 pages
...within a circle cut one ano- See Note. ther, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E: the rectangle... | |
 | Dugald Stewart - Psychology - 1814 - 560 pages
...logic. When it is affirmed (for instance) that " if two straight lines in a circle intersect each other, the rectangle contained by the segments of the one...rectangle contained by the segments of the other;" can it with any propriety be said, that the relation between these rectangles may be expressed by the... | |
 | Dugald Stewart - Logic - 1814 - 582 pages
...logic. When it is affirmed (for instance) that " if two straight lines in a circle intersect each other, the rectangle contained by the segments " of the one is equal to the rectangle contained by the seg" ments of the other ;" can it with any propriety be said, that the relation between these rectangles... | |
 | Euclides - 1816 - 588 pages
...within a circle cut one an- See N. other, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E; the rectangle... | |
 | Ralph Griffiths, George Edward Griffiths - 1818 - 596 pages
...of such a nature that, of any two lines intersecting each other and terminated by the circumference, the rectangle contained by the segments of the one...rectangle contained by the segments of the other; and from this property, so assumed, we might'prove by a train of reasoning the inverse of that which... | |
 | Dugald Stewart - Psychology - 1821 - 348 pages
...straight lines ^yiffi*., ;£/*»s." in a circle intersect each other, the rectangle contained by the 7 " segments of the one is equal to the rectangle contained by the " segments of the other ;" can it with any propriety be said, that the relation between these rectangles may be expressed by... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...straight lines within a circle cut one another, the rectangle contained by the segments of one of them ia equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E : the rectangle... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...lines cut one another within a circle, the SeeN. rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD, cut one another in the point E within the circle ABCD : the rectangle... | |
 | Dugald Stewart - 1829 - 442 pages
...logic. When it is affirmed (for instance) that " if two straight lines in a circle intersect each other, the rectangle contained by the segments of the one...the rectangle contained by the segments of the other ; " can it with any propriety be said, that the relation between these rectangles may be expressed... | |
 | Dugald Stewart - 1829 - 418 pages
...When it is affirmed (for instance) that " if two straight lines in .a circle intersect each other, the rectangle contained by the segments of the one...the rectangle contained by the segments of the other ; " can it with any propriety be said, that the relation between these rectangles may be expressed... | |
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... is equal to the rectangle contained by the segments of the other. 
