 | William Chauvenet - 1871 - 380 σελίδες
...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 - 1872 - 382 σελίδες
...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 - 1877 - 262 σελίδες
...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 σελίδες
...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 - 1880 - 260 σελίδες
...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 - 1882 - 222 σελίδες
...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... | |
 | 1902 - 730 σελίδες
...— |- 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 - 1886 - 392 σελίδες
...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, William Elwood Byerly - 1887 - 331 σελίδες
...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 σελίδες
...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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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. 
