 | John Playfair - Euclid's Elements - 1849 - 332 pages
...ABC containing an angle equal to the given angle D. PROP. XXXV. THEOR. If two straight lines mthin a circle cut one another, the rectangle contained...rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...at the circumference upon the same base. 3. 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. Section 5. 1. Prove that every equiangular triangle is also equilateral. 2. Trisect a right angle.... | |
 | Education - 1850 - 488 pages
...upon equal circumferences are equal to one another, whether they be at the centre or circumference. contained by the segments of one of them, is equal to the rectangle contained by the segment of the other. SECTION V. 1. If from a point without a circle there be drawn two straight... | |
 | Bombay (India : State). Board of Education - Education - 1851 - 768 pages
...peculiarly to a certain species : thus one of the properties of the circle is that if two chords cut oiie 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... | |
 | Education - 1851 - 502 pages
...the angle in a semicircle is a right angle. 2. 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. 3. To describe a square about a given circle. SECTION IV.—1. Triangles and parallelograms of the... | |
 | 1851 - 382 pages
...circles equal cords divide the circumference into parts which are equal each to each, 3. If two cords of a circle cut one another, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other, ...... 4. What do you mean... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...ABC, containing an angle equal to the given angle D. "Which was to be done. PROPOSITION XXXV. THEOR. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point K ; the rectangle... | |
 | Euclides - Geometry - 1853 - 176 pages
...containing an angle equal to the given angle d. Which was to be done. PROPOSITION XXXV. — THEOREM. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. LET the two straight lines aС, bd, within the circle ab С d, cut one another in the point e ; the... | |
 | Euclides - 1853 - 146 pages
...circle ABC containing an angle equal to the given angle D. Which was to be done. PROP. XXXV. THEOREM. If two straight lines within a circle cut one another,...rectangle contained by the segments of one of them is egual to the rectangle contained by the segments of the other. Let the two straight lines AC, BD, within... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...the same, whatever chord (AB) be drawn through P ; .-.if two chords cut one another in any point P, the rectangle contained by the segments of one of them is equal to that contained by the segments of the other. Proposition XXXVI. — Let В be any point without a (.•ircle... | |
| |
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... 
