 | Northwest Territories Council of Public Instruction - 1897 - 628 pages
...touch a given line at a given point and to pass through another given point. 8. («) If two chords of a circle 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. Conversely, if two... | |
 | 1898 - 870 pages
...Candidates must answer satisfactorily in each of the Three Divisions of this paper. I. 1. If two chords of a circle cut one another, the rectangle contained by the segments of one shall be equal to the rectangle contained by the segments of the other. State and prove the converse... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...enunciated the proposition of which it is the converse. HSB p PROPOSITION 35. THEOREM. If two chords of a circle cut one another, the rectangle contained by the segments of one shall be equal to the rectangle contained by the segments of the other. Let AB, CD, two chords of the... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...each of the angles of the triangle PQR in terms of those of the triangle ABC. 10. If two chords of a circle cut one another, the rectangle contained by the segments of one shall be equal to the rectangle contained by the segments of the other. State and prove the converse... | |
 | University of Sydney - 1900 - 646 pages
...and of others that which is nearer the centre is greater than one more remote. 7. If two chords 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. 8. The bisector of the vertical... | |
 | 1903 - 898 pages
...through the points B, C, D, E. 6. If two straight lines within a circle cut one another, preve that the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 7. From any point on a circle chords are drawn «nd produced a distance beyond the circle equal to... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...first enunciated the proposition of which it is the converse. PROPOSITION 35. THEOREM. If two chords of a circle cut one another, the rectangle contained by the segments of one shall be equal to the rectangle contained by the segments of the other. Let AB, CD, two chords of the... | |
 | Civil Service Commission of Canada - Civil service - 1910 - 240 pages
...to the whole triangle and to one another. 7. 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. PLANE TRIGONOMETRY. Thursday, July 7th, 1910, from 9 am to 12 noon. NOTE. — Do not use natural trigonometric... | |
 | Queensland. Department of Public Instruction - Education - 1912 - 234 pages
...are supplementary a circle can be described about the quadrilateral. 9. Prove that if two chords of a circle cut one another the rectangle contained by the segments of the one is equal to the rectangle contained by the segment* of the other. Two perpendicular lines AB,... | |
 | Alberta. Department of Education - Education - 1912 - 244 pages
...by the circumference. Show that the tangents at its extremity are parallel. 8 17. If two chords of a circle 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. 35 -III. STANDARD VII.... | |
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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... 
