| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 Seiten
...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 0 ACBD, cut one another at E. Then shall the reel. AE, BB = the recl.... | |
| Manitoba. Department of Education - 1900 - 558 Seiten
...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 of this theorem. HISTORY— ENGLISH, GREEK AND ROMAN.-JSECOND CLASS. 1.... | |
| 1901 - 548 Seiten
...of the quadrilateral lie on a circle. (5) If two chords of a circle intersect in a point inside the circle, the rectangle contained by the segments of...rectangle contained by the segments of the other. (6) Construct an isosceles triangle having each of the angles at the base double of the third angle.... | |
| Euclid - 1904 - 488 Seiten
...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 0 ACBD, cut one another at E. Then shall the rect. AE, EB = the rect.... | |
| Walter Percy Workman - 1908 - 228 Seiten
...at a point within the circumference, then the rectangle contained by the segments of the one chord shall be equal to the rectangle contained by the segments of the other (Euc. III. 35) 358 t For the remaining Theorems on Triangles see Chapters III, IV, XIX, XXII, XXV.... | |
| Civil Service Commission of Canada - 1910 - 240 Seiten
...hypotenuse, the triangles on each side of it are similar 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 them is equal to the rectangle contained by the segments of the other. PLANE TRIGONOMETRY. Thursday,... | |
| Alberta. Department of Education - 1912 - 244 Seiten
...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...rectangle contained by the segments of the other. 35 -III. STANDARD VII. ANIMAL LIFE. TIME TWO HOURS. EXAMINERS P' K BOYCK' BA[EL HILL, BA Values. 7... | |
| 1914 - 914 Seiten
...bisected by a^traight 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. 4. If a straight line... | |
| Newfoundland Council of Higher Education - 1916 - 254 Seiten
...bisected by AF, BF respectively, meeting in F. Find the locus of the point F. (14) 8. Prove that 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. Enunciate and prove... | |
| William Neville Rose - 1920 - 542 Seiten
...angle is equal to the squares described on the sides which contain the right angle. Euc. III. 35. 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. Euc. III. 36. Corollary.... | |
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