The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars. The Essentials of Geometry - Page 224by Webster Wells - 1899 - 395 pagesFull view - About this book
| William Chauvenet - Geometry - 1871 - 380 pages
...pass through P (II. 99). 3*6. The perpendiculars from the angles upon the opposite sides of a triangle **are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars** (II. 58, 99). 37. If two circumferences are tangent internally, and the radius of the larger is the... | |
| William Chauvenet - Mathematics - 1872 - 382 pages
...pass through P (II. 99). 36. The perpendiculars from the angles upon the opposite sides of a triangle **are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars** (II. 58, 99). 37. If two circumferences are tangent internally, and the radius of the larger is the... | |
| William Frothingham Bradbury - Geometry - 1877 - 264 pages
...triangles, or an isosceles triangle can be added to it so as to form with it an isosceles triangle. 186. **The perpendiculars from the vertices of a triangle to the opposite sides** respectively bisect the angles of the triangle formed by joining the feet of these perpendiculars.... | |
| Dublin city, univ - 1878 - 498 pages
...8. Perpendiculars are drawn from the vertices of a triangle to the opposite sides ; prove that they **are the bisectors of the angles of the triangle formed by joining the** points where they meet the opposite sides. 9. The sides of a triangle being 4, 5, 6, find the lengths... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...triangles, or an isosceles triangle can be added to it so as to form with it an isosceles triangle. 186i **The perpendiculars from the vertices of a triangle to the opposite sides** respectively bisect the angles of the triangle formed by joining the feet of these perpendiculars.... | |
| Samuel Constable - Geometry - 1882 - 222 pages
...line drawn from A to the point D must pass through 0. Hence the three lines meet in a point. PROP. 21. **The perpendiculars from the vertices of a triangle to the opposite sides** meet in a point: and if a triangle be formed by joining their feet, its sides will be equally inclined... | |
| Education - 1902 - 730 pages
...— |- D But substituting a a + ar ar+ar» 1-fr 1+r 1+r 1. PLANE GEOMETRY. Answer any five. 1. Prove: **The perpendiculars from the vertices of a triangle to the opposite sides** meet in a common point. What is the name of this point? 2. A circle is inscribed in a triangle ABC.... | |
| Webster Wells - Geometry - 1886 - 392 pages
...of a triangle is equally distant from the vertices of the triangle. PROPOSITION XLIII. THEOREM. 129. **The perpendiculars from the vertices of a triangle to the opposite sides** meet in a common point. Let AD, BE, and CF be the perpendiculars from the vertices of the triangle... | |
| William Chauvenet - Geometry - 1887 - 331 pages
...vertex upon the third side. 5. The perpendiculars from the angles upon the opposite sides of a triangle **are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.** Suggestion. On the three sides of the given triangle as diameters describe circumferences, (v. Exercise... | |
| 1888 - 666 pages
...the third booi 1 Is it completely treated ? Give fully -the reasons for your answer. 2. Prove that **the perpendiculars from the vertices of a triangle to the opposite sides** pass through a point, and that the circle which passes through . • the feet of these perpendiculars... | |
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