 | Euclides - 1865 - 402 páginas
...equal to a given rectilineal angle. Prop. 35. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Prop. 36. If from any point without a circle two straight Uses be drawn, one of which cuts the circle,... | |
 | Robert Potts - 1865 - 528 páginas
...lines. Or, in other words :— If the diagonals of a quadrilateral figure intersect one another, BO that the rectangle contained by the segments of one of...rectangle contained by the segments of the other; then a circle may be described about the quadrilateral. Prop- xxxvi. The converse of the corollary... | |
 | James Robert Christie - 1866 - 428 páginas
...opposite any of the acute angles is less than the squares of the sides containing that angle, by, &c. 3. If two straight lines within a circle cut one another, the rectangle contained by the segments, arc. 4. Equal triangles which have one angle of the one equal to one angle of the other, have their... | |
 | Bombay (India : State). Board of Education - 1851 - 764 páginas
...peculiarly to a certain species : thus one of the properties of the circle is that if two chords cut oue another, the rectangle contained by the segments of...rectangle contained by the segments of the other. The qualities which peculiarly belong to some individuals, and not to others, are called accidents... | |
 | Euclid, Isaac Todhunter - 1867 - 424 páginas
...lines cut one another within a circle, the rectangle 'contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another at the point E, within the circle A BCD : the rectangle contained by AE, EC shall... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...lines cut one another within a circle, the rectangle contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another at the point E, within the circle A BCD : the rectangle contained by AE, EC shall... | |
 | Edinburgh univ - 1868 - 336 páginas
...diameters of any parallelogram is equal to the sum of the squares of the sides of the parallelogram. 3. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. 4. To inscribe a circle in a given triangle. 5- Equal triangles which have one angle of the one equal... | |
 | Robert Potts - 1868 - 434 páginas
...Or, in other words : — If the diagonals of a quadrilateral figure intersect one another, so that the rectangle contained by the segments of one of...the rectangle contained by the segments of the other ; then a circle may be described about the quadrilateral. Prop. xxxvI. The converse of the corollary... | |
 | Richard Wormell - 1868 - 286 páginas
...segment. 3. If two straight lines cut one another within a circle, one of them passing through the centre, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. A ladder is gradually raised against a wall ; find the locus of its middle point. 5. How would you... | |
 | James Maurice Wilson - 1868 - 150 páginas
...within or without a circle, chords are drawn, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other. Let AOB, COD be the chords through O. Then is AO x OB = CO x OD. For join CB, AD. Then since the angle... | |
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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... 
