| George Albert Wentworth - Geometry - 1888 - 264 pages
...§179 .-. 0 is the centre of symmetry of the figure. § 64 EXERCISES. 34. The median from the vertex **to the base of an isosceles triangle is perpendicular to the base,** and bisects the vertical angle. 35. State and prove the converse. 36. The bisector of an exterior angle... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...and substitute the definition for the name of the thing defined. Eg suppose it is to be proved that **the median to the base of an isosceles triangle is perpendicular to the base.** Instead of saying : " Given CM the median to the base of the isosceles triangle ABC " (see figure on... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...and substitute the definition for the name of the thing defined. Eg suppose it is to be proved that **the median to the base of an isosceles triangle is perpendicular to the base.** Instead of saying : " Given CMfthe median to the base of the isosceles triangle ABC " (see figure on... | |
| George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...OC, and BO = OE, § 128 (being homologous sides of equal A). QED Ex. 13. The median from the vertex **to the base of an isosceles triangle is perpendicular to the base,** and bisects the vertical angle. Ex. 14. If two straight lines are cut by a transversal so that the... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...angle of 45°. Ex. 27. To divide an angle into four equal parts. Ex. 28. The median from the vertex **to the base of an isosceles triangle is perpendicular to the base,** and bisects the vertical angle. Ex. 29. .4BCand DBC are isosceles triangles on the same base ; prove... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...OC, and BO = OE, § 128 (being homologous sides of equal &). QED Ex. 13. The median from the vertex **to the base of an isosceles triangle is perpendicular to the base,** and bisects the vertical angle. Ex. 14. If two straight lines are cut by a transversal so that the... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...Z4, (base A of an isos. A). (Hyp.) (Ax. 2.) AA'B'C' = AAB'C', (sas = sas). .'. A ABC = AA'B'C'. QED **Ex. 117. If the opposite sides of a quadrilateral...parallel. Ex. 122. If in the sides of an equilateral** &ABC, the points D, E, and F be taken so that AD = BE = CF, then f^DFE is equilateral. Ex. 123. If... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...(6ase ^ o/ an iaos. A). Z1 + Z3 = Z2 + Z4, (Ax. 2.) = ZBA'0. (sas = sas). AABC=AA'B'C'. Q . E . D . **Ex. 117. If the opposite sides of a quadrilateral...parallel. Ex. 122. If in the sides of an equilateral** &ABC, the points D, E, and F be taken so that AD = BE = CF, then &DFE is equilateral. E Ex. 123. If... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...(base A of an isos. A). Z3 = Z2 + Z4, (Ax. 2.) AA'B'C' = AAB'C', (sas = sas). .: A ABC = AA'B'C'. QED **Ex. 117. If the opposite sides of a quadrilateral...sides are equal. Ex. 120. The medians to the arms of** au isosceles triangle are equal. Ex. 121. If the opposite sides of a quadrilateral are equal, the sides... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...from the extremities of the segments to the opposite vertices make equal angles with the base. Ex. 5. **The median to the base of an isosceles triangle is perpendicular to the base. Ex.** 6. The altitudes upon the legs of an isosceles triangle make equal angles with the base. Ex. 7, The... | |
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