 | Seth Thayer Stewart - Geometry - 1893 - 262 pages
...i. Any side of a triangle is greater than the difference between the two other sides. (P. xi.) 2. A straight line drawn from the vertex of an isosceles triangle to the base produced, is longer than either of the equal sides. I. Draw a line from the vertex to the middle of... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...Divide a triangle into two equal parts by a straight line at right angles to one of the sides. 110. 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... | |
 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...right-angled triangle, having given the hypotenuse and the difference of the other two side*). 7 9. Show that 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. 10 10. Show that the... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...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... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...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... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...to the three sides of the other." § 172 " being homologous A of equal A." QED 174 COROLLARY 1. The straight line drawn from the vertex of an isosceles triangle to the middle point of the base bisects the vertical angle and is perpendicular to the base. 175 COROLLARY... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...to the three sides of the other." § 172 " being homologous A of equal A." QED 174 COROLLARY 1. The straight line drawn from the vertex of an isosceles triangle to the middle point of the base bisects the vertical angle and is perpendicular to the base. 175 COROLLARY... | |
 | University of Oxford - 1907 - 160 pages
...joined, show that the area of the figure BXCO is one quarter that of the parallelogram. 7. Prove that the square on any straight line drawn from the vertex of an isosceles triangle to a point in the base is less than the square on a side of the triangle by the rectangle contained by... | |
 | George William Myers, Sarah Catherine Brooks - Arithmetic - 1907 - 436 pages
...of the triangle? t .. 29. One side of a regular hexagon is 36'. Find the area of the hexagon? 30. A straight line drawn from the vertex of an isosceles triangle to the middle of the , base is perpendicular to the\ "base. Find the area of a FIGURE 152 FIGURE 153 regular... | |
 | George William Myers, Sarah Catherine Brooks - Arithmetic - 1907 - 432 pages
...FIGURE 153 FlGUBB 152 29. One side of a regular hexagon is 36'. Find the area of the hexagon? 30. A straight line drawn from the vertex of an isosceles triangle to the middle of the , base is perpendicular to the\ base. Find the area of a regular pentagon whose sides... | |
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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. 
