| 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... | |
| 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 :... | |
| 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 :... | |
| 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... | |
| John Martin Frederick Wright - Mathematics - 1825
...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... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...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...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 ia... | |
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