 | Robert Potts - 1868 - 434 σελίδες
...two equal angles by the straight line AD, Therefore, if the angle, &c. QED PROPOSITION A. THEOREM. // the outward angle of a triangle made by producing one of its aides, be divided into two equal angles, by a straight line, which also cuts the base produced ; the... | |
 | General Medical Council (Great Britain) - 1869 - 402 σελίδες
...centres or at the circumferences. 3. Inscribe a circle in a given triangle. 4. 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... | |
 | Henry William Watson - 1871 - 320 σελίδες
...equal to BAD and AEB is equal to CAD, therefore BAD is equal to CAD. PROPOSITION 9. If the exterior angle of a triangle, made by producing one of its...a straight line which also cuts the base produced, then the base shall be divided externally in the point of intersection into segments which hare to... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...OD is to. OB as OB is to OE. PROPOSITION A. THEOREM. // the exterior angle of a triangle be bisected by a straight line, which also cuts the base produced, the segments, between the dividing straight line and the extremities of the base, must have the same ratio, which the other sides of the... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...together equal to the sum of the diameters of the inscribed and circumscribing circles. 9. 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... | |
 | Euclides - 1874 - 342 σελίδες
...to BC. WTierefore, if a straight line, &c. QED PROPOSITION 3.— Theorem. If the angle of a triangle be divided into two equal angles, by a straight line which also cute the base; the segments of the base shall have the same ratio which the other sides of the triangle... | |
 | Education Department,London - 1876 - 1010 σελίδες
...triangle whose largest angle shall be eight times either of the other two. 2. 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... | |
 | Robert Potts - 1876 - 446 σελίδες
...segment, which shall contain an augle equal to a given rectilineal angle. 8. If the angle of a triangle be divided into two equal angles by a straight line which also cats the base, the segments of the baEo shall have the same ratio which the other sides of the triangles... | |
 | D. Tierney - 1877 - 126 σελίδες
...making the above angles with the sides AB and AC of the given triangle. 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... | |
 | Samuel H. Winter - 1877 - 452 σελίδες
...between the angles, and the points of contact of the inscribed circle. 4. 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... | |
| |
... 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... 
