 | Isaac Sharpless - Geometry - 1879 - 282 pages
...four points B, E, F, C are on the circumference of the same circle. Proposition 28. Tlieorem.—If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of the triangle, is equal to the rectangle contained by the segments... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...is parallel to BC. Wherefore, if a straight line &c. QEI). PROPOSITION 3. THEOREM. If the vertical angle of a triangle be bisected by a straight line...also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another; and if the segments... | |
 | James Russell Soley - Naval education - 1880 - 346 pages
...respectively, show that the arcs Efr\ FD, DE arc bisected in the points A, B, C. 5. If the vertical angle of a triangle be bisected by a straight line...also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another ; and if the segments... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...together equal to two right angles. 4. To describe a circle about a given square. 5. If the vertical angle of a triangle be bisected by a straight line...also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another ; and if the segments... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...find the angles which this line makes with the two sides of the original triangle. 8. If the vertical angle of a triangle be bisected by a straight line...also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another. If ABC be the triangle,... | |
 | Oxford univ, local exams - 1880 - 396 pages
...Describe a circle about a given triangle. 10. If an angle of a triangle is 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 another. The triangle ABC is... | |
 | Bombay city, univ - 1880 - 750 pages
...and perpendicular to the opposite side. 7. If the vertical angle of a triangle be bisected by a 15 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 another. In the base BC of a... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...inscribed. 6. Triangles and parallelograms of the same altitude are to one another as their bases. 7. If an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...F, and H be on the same circle. Let the student prove an impossibility. Proposition 28. Theorem. — If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of the triangle, is equal to the rectangle contained by the segments... | |
 | Education, Higher - 1882 - 498 pages
...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 another ; and conversely, if... | |
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IF an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square of the... 
