| Robert Potts - 1864
...the middle segment is equivalent to twice the rectangle under the extreme segments. V. 37. Prove that **the square on any straight line drawn from the vertex...the rectangle contained by the segments of the base** : and conversely. 38. If from one of the equal angles of an isosceles triangle a perpendicular be drawn... | |
| Robert Potts - 1864
...the middle segment is equivalent to twice the rectangle under the extreme segments. V. 37. Prove that **the square on any straight line drawn from the vertex...the rectangle contained by the segments of the base** : and conversely. 38. If from one of the equal angles of an isosceles triangle a perpendicular be drawn... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...and the side AD produced at E: shew that the rectangle EF, FG is equal to the square on BF. 404. If a **straight line drawn from the vertex of an isosceles triangle to the base,** be produced to meet the circumference of a circle described about the triangle, the rectangle contained... | |
| Robert Potts - 1868 - 410 páginas
...the middle segment is equivalent to twice the rectangle under the extreme segments. V. 37. Prove that **the square on any straight line drawn from the vertex...the rectangle contained by the segments of the base** : and conversely. 38. If from one of the equal angles of an isosceles triangle a perpendicular be drawn... | |
| A. H. L. S. Béchaux - 1869 - 188 páginas
...AD, drawn from the vertex A of an isosceles triangle ABC to the base EC, is less than the square of **a side of the triangle by the rectangle contained by the segments of the base.** Since BC.D=BD.C + CD.B xA2 BC2.DA2=BC(BD.CA2+CD.BA2)— BD.CD.BC2 hence BC.DA2=BD.CA2+CD.BA2— BD.CD.BC... | |
| Euclides - 1874
...drawn upon AC : show that the square on the base BC shall be equal to twice the rectangle AC, CD. 74. **The square on any straight line drawn from the vertex...the rectangle contained by the segments of the base.** [See Ex. 63, and Prop. 5 Book ii.] 75. If lines be drawn from the angles of a triangle to the middle... | |
| 1876
...publisher and price. — DB Frost. The best text-book on geometrical drawing. — D. Sutherland. 167. **The square on any straight line drawn from the vertex...the rectangle contained by the segments of the base.** — James Purser. 168. I wish to know what are the duties and privileges of the Poet Laureate ; with... | |
| Robert Potts - 1876 - 403 páginas
...within the triangle.) 10. To describe a square that shall be equal to a given rectilineal figure. 11. **The square on any straight line drawn from the vertex...triangle to the base is less than the square on a side of** a triangle by a rectangle contained by the segments of the base. SECJOSD CLASS PROVINCIAL CERTIFICATES,... | |
| Edward Atkins - 1876
...difference becomes when the vertex of tho triangle is depressed until it coincide with the base. 16. **The square on any straight line drawn from the vertex of an isosceles triangle,** together with tho rectangle contained by tho segments of the base, is equal to the square upon a side... | |
| Charles Mansford - 1879 - 104 páginas
...BC shall be equal to twice the rectangle AC, CD. 74. The square on any straight line drawn from tho **vertex of an isosceles triangle to the base is less...the rectangle contained by the segments of the base.** [See Ex. 63, and Prop. 5 Book ii.] 75. If lines be drawn from the angles of a triangle to the middle... | |
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