 | Royal Military College, Sandhurst - 1890 - 144 Seiten
...cut one another within a circle, prove that the rectangle contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other. 6. Inscribe an equilateral and equiangular pentagon in a given circle. Construct a regular pentagon... | |
 | Seth Thayer Stewart - 1891 - 428 Seiten
...square of the other part, m being any number. 21. Divide a given line into such parts that the square of the one shall be equal to the rectangle contained by the other and a given line. 22. A straight line being given in magnitude and position, draw to it, from... | |
 | Queensland. Department of Public Instruction - 1892 - 508 Seiten
...demonstration. 2. 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. Prove the case of the above proposition where one chord jasses through the centre, and cuts the other,... | |
 | Euclid - 1892 - 460 Seiten
...bisected by a straight line which cuts the base, the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle. Let ABC be a triangle... | |
 | 1895 - 142 Seiten
...fixed point. 2. 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. The rectangle contained by the chord of an arc and the chord of its supplement is equal to the rectangle... | |
 | Great Britain. Civil Service Commission - 1896 - 112 Seiten
...the square on AH, show that the squares on AB and BH are together three times the square on AH. 7. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them is equal to the rectangle contained by those of the other. 8. If a straight line be drawn... | |
 | Northwest Territories Council of Public Instruction - 1897 - 628 Seiten
...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...rectangle contained by the segments of the other. Conversely, if two straight lines cut one another so that the rectangle contained by the augments of... | |
 | University of Sydney - 1898 - 548 Seiten
...equal to the rectangle contained by the two parts together with the square on the aforesaid part. 4. If two 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. Prove this in the... | |
 | 1898 - 870 Seiten
...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 of this proposition. 2. Circumscribe a circle about a given triangle.... | |
 | 1899 - 1072 Seiten
...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. 11. If from two points A and B, on the diameter of a circle and taken at equal distance from its centre,... | |
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If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other. 
