Books Books Wherefore from the given circle ABC has been cut off the segment BAC, containing an angle equal to the given angle DQEP PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is... The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 83
by Euclides - 1816 - 528 pages The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...one of them is equal to the rectangle contained by the fegments of the other. Let the two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E ; the reel-angle contained by AE, EC is equal to the rectangle contained by BE, ED. If AC, BD pafs each of... The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...one of them, is equal to the rectangle contained by the fegments of the other. Let the two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E ; the reftangle contained by AE, EC is equal to the reftangle contained by BE, ED. If AC, BD pafs each of... Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 pages
...one of them is equal to the reftangle contained by the fegments of the other. Let the two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E : the reftangle contained by AE, EC is equal to thfreftangle contained by BE, ED. If AC, BD pafs each of... Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...given 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...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... The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 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, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 493 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 - 518 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...another in the point E: the rectangle contained by AEi EC is equal to the rectangle contained by BE, ED. If AC, BD pass each of them through the centre,... The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...was to be ddhe. PROP. XXXV. THF.OR. Hoox Iff. IF two straight lines within a circle cut one an-See N. other, the rectangle contained by the segments...the circle ABCD, cut one another in the point E; the rectangle,contained byAE,EC is equal to the rectangle contained by BE, ED. A If ACBD pass each of them... The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817
...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 one 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*,... 