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" BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to... "
Guide to the army - competitive examinations - Trang 87
bởi Alexander Hadden Hutchinson - 1861
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 trang
...was to be done. PROP. XXXV. THEOR. If two straight lines cut one another within a circle, the SeeN. rectangle contained by the segments of one of them,...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...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 trang
...Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another,the rectangle contained by the segments of one of them...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 trang
...PROP. XXXV. THEO& tf two straight lines within a circle cut one another, the rectangle con: tained 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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 trang
...Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, See N. the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Let the two straight lines AC, BD within the circle A BCD, cut one another in the point E : the rectangle...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 trang
...THEOR. If two straight lines within a circle cut one another, the rectangle contained^ the segmerds 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...

The Element of Geometry

John Playfair - 1836 - 148 trang
...a straight line, dtc. QED PROP. XXIV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...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...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 trang
...the alternate segments of the circle. XXXIV. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. XXXVI. If from any point without a circle two straight lines be drawn, one of which cuts the circle,...

Solutions of the Cambridge Problems, from 1800 to 1820, Tập 2

John Martin Frederick Wright - 1836 - 776 trang
...of section. 3. If two straight lines within a circle cut one another, the rectangle contained Ъу the segments of one of them is equal to the rectangle contained by the segments of the other. 4. Inscribe an equilateral and equiangular hexagon in a given circle. 5. If any number of magnitudes...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 trang
...angle D. Which was to be done.PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by me segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 trang
...; that is, the difference between it and a right angle. IF two chords of a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. In the circle ABCD, let the two chords AC, BD cut one another in the point E : the rectangle AE.EC...




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