 | Euclides - 1834 - 518 sider
...be done. PROPOSITION XXXV. THEOR. — If two straight lines cut one another within a circle, See N. the rectangle contained by the segments of one of...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... | |
 | Euclid - 1835 - 540 sider
...Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, See N. the rectangle contained by the segments of one of...Let the two straight lines AC, BD within the circle A BCD, cut one another in the point E : the rectangle contained by AE, EC is equal to the rectangle... | |
 | 1836 - 488 sider
...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...rectangle contained by the segments of the other. XXXVI. If from any point without a circle two straight lines be drawn, one of which cuts the circle,... | |
 | John Martin Frederick Wright - 1836 - 776 sider
...of section. 3. If two straight lines within a circle cut one another, the rectangle contained Ъу the segments of one of them is equal to the rectangle contained by the segments of the other. 4. Inscribe an equilateral and equiangular hexagon in a given circle. 5. If any number of magnitudes... | |
 | John Playfair - 1836 - 488 sider
...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 AC, BD, within the circle ABCD, cut one another... | |
 | Euclides - 1837 - 112 sider
...alternate segment BJC ~ ZD PROPOSITION XXXV. Theorem. 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. • In case 1st, E is the centre of the 0, and evident that AE x EC = BE x ED. it is Steps of the Demonstration... | |
 | Euclid, James Thomson - 1837 - 410 sider
...; that is, the difference between it and a right angle. IF two chords of a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. In the circle ABCD, let the two chords AC, BD cut one another in the point E : the rectangle AE.EC... | |
 | Commissioners of National Education in Ireland - 1837 - 284 sider
...-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...rectangle contained by the segments of the other. This is the 35th Proposition of the IIL Book of Euclid. 4. Required the area of the segment AGFB whose... | |
 | Andrew Bell - 1837 - 290 sider
...angle equal to the given angle D. PROPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. If AC, BD, pass each of them through the centre, so that E is the centre; it is evident that AE, EC,... | |
 | Euclides - 1838 - 264 sider
...D. Which was to be done. PROP. XXXV. THEOR. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...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 equal... | |
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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... 
