 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...  Calendar, for the Year ... - Page xxxiii1895Full view - About this book
 | University of Oxford - Education, Higher - 1879 - 584 pages
...straight 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. 9. On the same straight line, and on the same side of it, there cannot be two similar segments of circles,... | |
 | Edward Harri Mathews - 1879 - 94 pages
...straight 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. Through a point within a circle draw a chord, such that the rectangle contained by the whole chord... | |
 | Education Ministry of - 1880 - 238 pages
...lines cut one another at right angles within a circle, the rectangle contained by the segments of the one shall be equal to the rectangle contained by the segments of the other. From this proposition deduce a method for constructing a square equal to a given parallelogram. Euclid,... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...lf two straight lines cut one another within a circle the rectangle contained by the segments of the one shall be equal to the rectangle contained by the segments of the other. In a given straight line AB, find a point 0 such that the rectangle contained by the segments АO and... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...straight lines cut one another within a circle, the rectangle contdined 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... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...straight 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. 4. The circles described on the equal sides of an isosceles triangle as diameters will intersect at... | |
 | Education Ministry of - 1882 - 300 pages
...cut one another at right angles •within a circle, the rectangle contained by the segments of the one shall be equal to the rectangle contained by the segments of the other. From this proposition deduce a method for constructing a square equal to a given paralleloffram. ALGEBRA.... | |
 | College of preceptors - 1882 - 528 pages
...another, neither of them being a diameter, prove that the rectangle contained by the segments of the one shall be equal to the rectangle contained by the segments of the other. 9. Define a regular polygon. Inscribe a regular hexagon (ie, six-sided figure) in a given circle. 10.... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...straight 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. 2. Describe a circle about a given square. If from any point in the circumference of a circle, straight... | |
 | Euclides - 1884 - 434 pages
...two chords of a circle when produced cut one another, the rectangle contained by the segments of the one shall be equal to the rectangle contained by the segments of the other ; and conversely. Let AC, BD, two chords of the O ABC, cut one another when produced at E : it is required... | |
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