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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... "
Elementary Plane Geometry: Inductive and Deductive - Página 95
por Alfred Baker - 1903 - 144 páginas
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Elements of the Philosophy of the Human Mind, Volumen2

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...
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Elements of the Philosophy of the Human Mind, Volumen2

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...
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The Monthly Review

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...
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Elements of the Philosophy of the Human Mind, Volumen2

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...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

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...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

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...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

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...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

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...
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

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...
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An Analytical System of Conic Sections: Designed for the Use of Students

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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