 | Euclides - 1864 - 448 pages
...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... | |
 | Euclides - 1864 - 262 pages
...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 - 1865 - 528 pages
...triangle AB C be produced to D, so that CD = AC, and BD be joined, Bif = AB* 1 4B C'. V. 43. Prove that the square on any straight line drawn from the vertex...the rectangle contained by the segments of the base : and conversely. 44. If from one of the equal angles of an isosceles triangle a perpendicular be drawn... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 - 434 pages
...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 - Geometry, Analytic - 1869 - 208 pages
...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 - 120 pages
...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 - 400 pages
...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 - Geometry - 1876 - 446 pages
...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 - 130 pages
...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... | |
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Prove that the square on any straight line drawn from the vertex of an isosceles triangle to the base, is less than the square on a side of the triangle by the rectangle contained by the segments of the base : and conversely. 
