| Euclides - 1877 - 58 pages
...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 pages
...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 pages
...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 - Geometry - 1886 - 392 pages
...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 - Geometry - 1887 - 342 pages
...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 - Geometry - 1887 - 331 pages
...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 - Geometry - 1891 - 426 pages
...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 - Geometry - 1892 - 460 pages
...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 pages
...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 - Geometry - 1893 - 262 pages
...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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