 The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.  The Elements of Plane Geometry - 23 ページAssociation for the Improvement of Geometrical Teaching 著 - 1903全文表示 - この書籍について
 | Euclides - 1877 - 58 ページ
...to AF, then GEis equal to GF. 5. The straight lines drawn from the angular points of an equilateral triangle to the middle points of the opposite sides are equal to each other. PROPOSITION VI. THEOREM. If the angles at the base of a triangle be equal to each other,... | |
 | Mathematical association - 1884 - 146 ページ
...triangle ABC will coincide with the triangle DEF, and is therefore identically equal to it, Ax. 1. the side BC equal to the side EF, the angle ACB to...that AB is equal to AC, and AD to AE : shew that BE THKOE. 6. If tiro triangles have two angles of the one equal to two angles of the other, each to each,... | |
 | Euclides - 1884 - 214 ページ
...the opposite sides, are equal, the triangle is isosceles. Prove the converse of this theorem. (190) The straight lines drawn from the extremities of the base of an isosceles triangle to make equal angles with the opposite sides, are equal. Prove the converse of this theorem. (191) Construct... | |
 | Webster Wells - 1886 - 392 ページ
...an isosceles triangle to the middle points of the opposite sides are equal. 10. The perpendiculars from the extremities of the base of an isosceles triangle to the opposite sides are equal. PROPOSITION XXX. THEOREM. 98. Any point in the bisector of an angle is equally... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 342 ページ
...any point except the intersection of the diagonals, is greater than the sum of the diagonals. 4. The lines drawn from the extremities of the base of an...the middle points of the opposite sides are equal. 5. The perpendiculars from the extremities of the base of an isosceles triangle upon the opposite sides... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 ページ
...any point except the intersection of the diagonals, is greater than the sum of the diagonals. 4. The lines drawn from the extremities of the base of an...the middle points of the opposite sides are equal. 5. The perpendiculars from the extremities of the base of an isosceles triangle upon the opposite sides... | |
 | Seth Thayer Stewart - 1891 - 426 ページ
...joins their intersection with the vertical angle bisects the vertical angle. 13. The perpendiculars from the extremities of the base of an isosceles triangle to the opposite sides are equal. 14. If the perpendiculars from two angles of a triangle to the opposite sides... | |
 | Euclid - 1892 - 460 ページ
...and Y , shew that the triangles YBC, XCB are equal in all respects. 2. Shew that the perpendiculars drawn from the extremities of the base of an isosceles triangle to the opposite sides are equal. 3. Any point on the bisector of an angle is equidistant fruin the arms of... | |
 | William Chauvenet - 1893 - 340 ページ
...any point except the intersection of the diagonals, is greater than the sum of the diagonals. 4. The lines drawn from the extremities of the base of an...the middle points of the opposite sides are equal. 5. The perpendiculars from the extremities of the base of an isosceles triangle upon the opposite sides... | |
 | Seth Thayer Stewart - 1893 - 262 ページ
...equal (P. III.) ; and the parts of the vertical ¿ are, thus, proved equal. i3. The perpendiculars from the extremities of the base of an isosceles triangle to the opposite sides are equal. The new Дs formed with the base are equal. (P. v.) I4. If the perpendiculars... | |
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