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

John Mason Good - 1819
...given rectilineal angle. Prop. XXX V. 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. 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 - 317 pages
...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 one 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 - Circle-squaring - 1819 - 333 pages
...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 :... ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...straight lines within a circle cut one another, the rectangle contained by the segments of one of them ia equal to the rectangle contained by the segments of...in the point E : the rectangle contained by AE, EC it equal to the rectangle contained by BE, ED. If AC, BD pass each of them through the centre, so that... ## Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

...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 one 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... ## Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...XXXV. THBORKM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments of the other. . contained under AE, EC, is equal to that contained under DE, EB.... ## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 pages
...XXXV. THEOREM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments. of the other. contained under AE, EC, is equal to that contained under DE, EB.... ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...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,...segments of the other. Let the two straight lines AC, BD, cut one another in the point E within the circle ABCD : the rectangle contained by AE, EC shall be... ## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...THEOREM.* If two chords of a circle cut each other, the rectangle contained by the segments of one chord is equal to the rectangle contained by the segments of the other. Let the two chords AC, BD, of the circle ABCD, cut each other in the point E; the rectangle AE . EC = BE .ED. Let... 