 | Euclides - 1877 - 58 σελίδες
...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 σελίδες
...of the one equal to two sides of the other, each to each, and have likewise the angles included by these sides equal, then the triangles are identically...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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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The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal. 
