 | Charles Mansford - 1879 - 112 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... | |
 | Isaac Todhunter - 1880 - 426 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... | |
 | Charles Scott Venable - 1881 - 380 páginas
...the angle BAD is equal to DAC, and BDA to ADC, hence, the latter two are right angles ; therefore, a straight line drawn from the vertex of an isosceles triangle to the middle of its base, is perpendicular to that base, and divides the angle at the vertex into two equal... | |
 | Marianne Nops - 1882 - 278 páginas
...square on their difference, is equal to twice the squares on the two straight lines. 10. The square of any straight line drawn from the vertex of an isosceles triangle to the base is less than the square of a side of the triangle by the rectangle contained by the segments of the base. LECTURE XXI. (PROPOSITIONS... | |
 | Euclides - 1883 - 176 páginas
...the centre, and join C and D to E, any point in the circumference ; then EC2 + ED2 = AC2 + AD2. 10. The square on any straight line drawn from the vertex...isosceles triangle to the base is less than the square on one of the equal sides by the rectangle contained by the segments of the base. 11. Find the locus of... | |
 | Euclid, Isaac Todhunter - 1883 - 428 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... | |
 | Edward Albert Bowser - 1890 - 414 páginas
...49. The square on the straight line, drawn from the vertex of an isosceles triangle to any point in the base, is less than the square on a side of the triangle by the rectangle of the segments of the base. 50. The sides AB, CD of a quadrilateral ABCD inscribed in a circle are... | |
 | Seth Thayer Stewart - 1891 - 428 páginas
...following : I. i. Any side of a triangle is greater than the difference between the two other sides. 2. A straight line drawn from the vertex of an isosceles triangle to the base produced, is longer than either of the equal sides. 3. If the angles at the base of any triangle are... | |
 | Rupert Deakin - 1891 - 102 páginas
...Propositions are usually stated. For example, almost all editions of Euclid contain this Eider : — " The straight line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base." Boys who have learnt Euclid for years will... | |
 | Euclid - 1892 - 460 páginas
...than the square on one of the equal sides by the rectangle contained by the segments of the base. 10. The square on any straight line drawn from the vertex of an isosceles triangle to the base produced, is greater than the square on one of the equal sides by the rectangle contained by the segments... | |
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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. 
