Books Books 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... The geometry of the three first books of Euclid, by direct proof from ... - Page 78
by Euclides - 1856 ## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle D. Which was to be done. 33-3c47 ft i^. i. a 3- 3b 5. a. c PROP. XXXV. THEOR. IF two ftraight lines within a circle cut one another, the rectangle contained by the fegments of one of them, is equal to the rectangle contained by the fegments of the other. Let the... ## Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...an angle equal to the given angle D. Which was to be done. PROP. PROP. XXXV. THEOR. IF two ftraight lines within a circle cut one another, the rectangle contained by the fegments of one of them is equal to the reftangle contained by the fegments of the other. Let the two... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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 - Euclid's Elements - 1806 - 320 pages
...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... ## Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...intercepted between the circumference and the point E. PROP. XXXVI. THEOR. one is equivalent to that contained by the segments of the other. Let the two straight lines AD and AF be extended through the point A, to cut the circumference BFD of a circle; the rectangle... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...be done. F PROP. XXXV. THEOR. C IF two straight lines within a circle cut one ano- See Note. ther, the rectangle contained by the segments of one of...segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E: the rectangle contained by AEi EC is equal... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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...segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E; the rectangle contained by AE, EC is equal... ## The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 304 pages
...VI.) Hence, EC : EA :: EA : ED, or E c XE n — EA '" DC : AI, :: AD : ED, or D c X z D — AD* 8. If two straight lines within a circle cut one another,...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*,... ## Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...drawn to cut the circumference ; the rectangle under the segments of the one, is equivalent to that contained by the segments of the other, Let the two straight lines AD and AF be extended through the point A, to cut the circumference BFD of a circle ; the rectangle... 