 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...  Solutions of the Cambridge Problems: From 1800 to 1820 - Side 654av John Martin Frederick Wright - 1825 - 653 siderUten tilgangsbegrensning - Om denne boken
 | Robert Potts - 1863 - 482 sider
...that if PB and PC be drawn making any constant angle with AB and AC, the locus of P is a circle. 7. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. With a point A in the circumference of a circle ABC as centre a circle PBC is described cutting the... | |
 | 1863 - 300 sider
...EUCLID. — Book III. 1. Proposition 35. Theorem. 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. 2. A projected railway having been surveyed through an estate I ask the engineer where the line will... | |
 | Euclides - 1864 - 262 sider
...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... | |
 | Euclides - 1864 - 448 sider
...PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained bg the segments of one of them, is equal to the rectangle contained bg the segments of the other. Let the two straight lines AC, BD, cut one another in the point E, within... | |
 | Euclides - 1865 - 402 sider
...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 sider
...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 sider
...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 sider
...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... | |
 | Edinburgh univ - 1868 - 336 sider
...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... | |
 | Richard Wormell - 1868 - 286 sider
...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... | |
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