| Dugald Stewart - 1814
...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 - 1814
...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
...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 - 1821
...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
...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
...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 - 1837 - 215 páginas
...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
...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
...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 - 1843 - 276 páginas
...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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