 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...  Calendar, for the Year ... - Page xxxiii1895Full view - About this book
 | Charles Butler - Mathematics - 1814 - 528 pages
...If two straight lines cut one another, and the rectangle 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 extremities of the two given straight lines, shall... | |
 | Thomas Keith - 1817 - 306 pages
...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, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other, (Euci'iD 35 ./HI.) Hence,... | |
 | John Mason Good - 1819 - 800 pages
...contain an angle 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 one of them is equal to the rectangle contained by the segments of the other. Cul^tlie circle, ami the... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...angle equal to the 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 one of them is equal to the rectangle contained by the segments of the other.* Let the two straight lines... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the given angle D. Which was to be done. * Proposition XXX У. Theorem. It two 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 the other. Let the two straight lines... | |
 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...the line, and of 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 one of them is equal to the rectangle contained by the segments of the other. 4. Inscribe an equilateral... | |
 | John Playfair - Geometry - 1836 - 148 pages
...the circle. Wherefore, if a straight line, dtc. QED PROP. XXIV. 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 rectangle contained by the segments of the other. Let the two straight lines... | |
 | Mathematics - 1836 - 488 pages
...be equal to the angles in the alternate segments of the circle. XXXIV. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other. XXXVI. If from any point... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...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 rectangle contained by me segments of the other. Let the two straight lines... | |
 | Commissioners of National Education in Ireland - Measurement - 1837 - 290 pages
...A BXD C 2-43 = 'f X 45-36 = 30-24 ; then = -36571 ; hence 30-24 + -36571 = 30-60571 the area. Note. If two chords of a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other. This is the 35th Proposition... | |
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