 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...  A Treatise on Mensuration for the Use of Schools - Page 50by Commissioners of National Education in Ireland - 1837 - 262 pagesFull view - About this book
 | 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
...to the given angle D. "Which was to be done. PROPOSITION XXXV. THEOR. If two straight lines within 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 K ; the rectangle... | |
 | Euclides - Geometry - 1853 - 176 pages
...the given angle d. Which was to be done. PROPOSITION XXXV. — THEOREM. If two straight lines within a circle cut one another, the rectangle contained...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
...equal to the given angle D. Which was to be done. PROP. XXXV. THEOREM. If two straight lines within a circle cut one another, the 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... | |
 | 1855 - 264 pages
...segment of a circle are equal to one another; 10. 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. ALGEBRA. (Second Section.) 1. Simplify a-[6 + e-{d+6-(e+26-fl+d}}] 2. If *=-— show that (x+a) (x+$)+(c-*)... | |
 | Robert Potts - 1855 - 1050 pages
...circle. 7. If two straight lines within a circle cut one another, the rectangle contained by the segment* of one of them is equal to the 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... | |
 | Euclides - 1856 - 168 pages
...BCD in the alternate segment of the circle. LXVIII.— EUCLID III. 35. If two straight lines within a circle cut one another the rectangle contained by...rectangle contained by the segments of the other. Let the two straight lines AC, BC within the circle ABCD cut one another in the point E, the rectangle... | |
 | War office - 1858 - 578 pages
...which joins them shall fall within the circle. 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. VOLUNTARY PORTION. about the equal angles proportionals, the triangles shall be equiangular, and shall... | |
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