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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... "
Report of the Board of Education - Страница 87
по Bombay (India : State). Board of Education - 1851
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 страници
...was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one ano- See N, ther, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. c 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 - 1806 - 320 страници
...angle D. Which was to be done. PROP. XXXV. THEOR. IF two straight lines within a circle cut each other, the rectangle contained* by the segments of one of...rectangle contained by the segments of the other. 3.3.3. b5.2. r 47. 1. Let the two straight lines AC, BD, within the circle ABCD, cut each other in...

Easy Introduction to Mathematics, Том 2

Charles Butler - 1814 - 582 страници
...241.) the angles E and D are in the circumference. QED contained by the segments of one of them, be equal to the rectangle contained by the segments of the other, the circumference which passes through three of the extretnit.es of the two given straight lines, shall...

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

Euclides - 1816 - 588 страници
...was to be done. PROP. XXXV. THEOR. IF two straight lines within a circle cut one an- See N. other, 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 complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 страници
...— EA '" DC : AI, :: AD : ED, or D c X z D — AD* 8. If two straight lines within a circle cut one another, the rectangle contained by the segments of...rectangle contained by the segments of the other, (Euci'iD 35 ./HI.) Hence, ¥c'x<''» — AUXCB, and because A c — c B in this figure, xc X CD ~ AC*,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Том 5

John Mason Good - 1819 - 800 страници
...equal to a given rectilineal angle. Prop. XXX V. Theor. If two straight lines within a circle cut one another, the rectangle contained by the segments of...rectangle contained by the segments of the other. Cul^tlie circle, ami the part of it without the circle, shall be equal to the sqmire of the line which...

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

John Playfair - 1819 - 354 страници
...given angle D. Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle tut one another, the rectangle contained by the segments of...to the rectangle contained by the segments of the ether. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E :...

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

John Playfair - 1819 - 350 страници
...PROP. XXXV. THEOR. If two straight lints within a circle cut one -another, the rectangle contain* ed by the segments of one of them is equal to the rectangle contained by the segments of the ether. Let the two straight lines AC. BD, within the circle ABCt), cut one another in the point E :...

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

Euclid, Robert Simson - 1821 - 514 страници
...given angle D. Which was to be donePROP. XXXV. THEOR. IP two straight lines within a circle cut one another, the rectangle contained by the segments 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...

Solutions of the Cambridge Problems: From 1800 to 1820, Том 2

John Martin Frederick Wright - 1825 - 798 страници
...the square of the Une between the points of section. 3. If two straight lines within a circle cut one another, the rectangle contained by the segments of...rectangle contained by the segments of the other. 4. Inscribe an equilateral and equiangular hexagon in a gives circle. 5. If any number of magnitudes...




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