 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...stand upon the same arc are equal to each other. 15. In a circle, if two chords intersect each other, the rectangle contained by the segments of the one...rectangle contained by the segments of the other. 16. If, from any point in the circumference, a perpendicular be drawn to a diameter, the rectangle... | |
 | Euclides - 1840 - 82 pages
...which shall contain a given angle. PROP. XXXV. THEOR. If two chords in a circle intersect each other, the rectangle contained by the segments of the one...rectangle contained by the segments of the other. PROP. XXXVI. THEOR. If from a point outside of a circle two straight lines be drawn, the one cutting... | |
 | Euclides - 1840 - 192 pages
...equal to the given angle V. PROP. XXXV. THEOR. If two chords (AB, EF) in a circle intersect each other, the rectangle contained by the segments of the one...rectangle contained by the segments of the other. If the chords both pass through the centre of the circle, it is evident that their segments, being... | |
 | Henry Parr Hamilton - Conic sections - 1843 - 314 pages
...all lines drawn through the point S ; Hence, if two chords intersect each other, within or without a circle, the rectangle contained by the segments of...rectangle contained by the segments of the other. SECTION II. ON THE APPLICATION OF THE EQUATION TO THE CIRCLE. 54. To determine the intersection of... | |
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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 segments of the other... 
