 | 1878 - 228 σελίδες
...and AD meet BC produced in D ; show that BD is divided in extreme and mean ratio. 8. If the exterior angle of a triangle, made by producing one of its sides, be divided into two equal parts by a straight line which also cuts the base produced ; the segments between the dividing line... | |
 | Oxford univ, local exams - 1880 - 396 σελίδες
...cut another in more than two points. 9. Inscribe a circle in a given triangle. 10. If the exterior angle of a triangle, made by producing one of its sides, be bisected by a straight line which also cuts the base produced, the segments between the dividing straight... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...straight line AD, Wherefore, if the vertical angle &c. QED PROPOSITION A. THEOREM. If the exterior angle of a triangle, made by producing one of its sides, be bisected by a straight line which also cuts the base produced, the segments between the dividing straight... | |
 | 1882 - 498 σελίδες
...given straight line not greater nor equal to the diameter of the circle. 8. If the angle of a triangle be divided into two equal angles by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...straight line AD. Wherefore, if the vertical angle &c. QEP PROPOSITION A. THEOREM. If the exterior angle of a triangle, made by producing one of its sides, be bisected by a straight line which also cuts the base produced, the segments between the dividing straight... | |
 | University of Cambridge - 1884 - 624 σελίδες
...Prove that the straight lines touching the circles at these points are parallel. 8. If the exterior angle of a triangle, made by producing one of its sides, be bisected by a straight line which also cuts the base produced, the segments between the dividing straight... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...trigonometrical expression for AD can be deduced from this proportion. . ! PROPOSITION A. (1) If the exterior angle of a triangle, made by producing one of its sides, be bisected by a straight line, which also cuts the base produced, the segments between the dividing straight... | |
 | Daniel Evan Jones - 1898 - 304 σελίδες
...their distances from the mirror itself. 1 Euclid, Bk. VI. Prop. III. — ' If the angle of a triangle be divided into two equal angles by a straight line which also cuts the base, the segments of the base shall have the same ratio which the sides of the triangle have to one another.Now... | |
 | Alberta. Department of Education - 1911 - 226 σελίδες
...having each of the angles of the base double of the vertical angle. IV — 10. 9 13. If the exterior angle of a triangle, made by producing one of its sides, be bisected by a straight line which also cuts the base produced, the segments between the bisector and... | |
 | Great Britain. Parliament. House of Commons - 1863 - 616 σελίδες
...through two given points on the same side of the given line. 10. If 10. If the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one... | |
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... line and the extremities of the base have the same ratio which the other sides of the triangle have to one another: and if the segments of the base... 
