 | Isaac Newton Failor - 1906 - عدد الصفحات: 440
...is, the three anglebisectors meet in O. DEFINITION. O is called the incenter of the triangle ABC. 149 The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from the vertices of the triangle. PROOF. Let the -L bisectors FF' and EE' intersect... | |
 | Edward Rutledge Robbins - 1906 - عدد الصفحات: 268
...of the triangle. (d) The bisector of an angle is also an altitude. [Use 52.] 85. THEOREM. The three perpendicular bisectors of the sides of a triangle meet in a point which is equally distant from the vertices. Given: A ABC; LR,MS,NT, A the three J- bisectors. To Prove... | |
 | Edward Rutledge Robbins - 1907 - عدد الصفحات: 428
...(rf) -The bisector of an angle is also an altitude. [Use 52.] PLANE GEOMETRY 85. THEOREM. The three perpendicular bisectors of the sides of a triangle meet in a point which is equally distant from the vertices. Given: A ABC; LB,MS,NT, A the three _L bisectors. To Prove... | |
 | Eugene Randolph Smith - 1909 - عدد الصفحات: 424
...two sides of a triangle is greater than the third side; their difference is less than that side. (c) The perpendicular bisectors of the sides of a triangle meet in a point (called the circumcenter) equidistant from the vertices. (d) The bisectors of the interior angles of... | |
 | Grace Lawrence Edgett - 1909 - عدد الصفحات: 104
...each equidistant from the extremities of a line determine the perpendicular bisector of the line. 2. The perpendicular bisectors of the sides of a triangle meet in a point. 3. The bisectors of the angles of a triangle meet in a point. 4. The bisectors of two exterior angles... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - 1907 - عدد الصفحات: 412
...70. Prove analytically that the medians of a triangle meet in a point. 71. Prove analytically that the perpendicular bisectors of the sides of a triangle meet in a point. 72. Prove analytically that the perpendiculars from the vertices of a triangle to thg opposite sides... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - عدد الصفحات: 300
...passes through the point O, and thus the three bisectors meet in a common point. 132. THEOREM. The three perpendicular bisectors of the sides of a triangle meet in a point. Given FH, DG, and EK perpendicular bisectors of the sides AB, BC, and CA of AABC. To prove that J'ff,... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - عدد الصفحات: 304
...passes through the point O, and thus the three bisectors meet in a common point. 132. THEOREM. The three perpendicular bisectors of the sides of a triangle meet in a point. Given FH, DG, and EK perpendicular bisectors of the sides AB, BC, and CA of A ABC. To prove that FH,... | |
 | 1911 - عدد الصفحات: 192
...removing conditions in Geometry B.) 1. State and prove the theorem for the area of a trapezoid. 2. The perpendicular bisectors of the sides of a triangle meet in a point. 3. The bisector of any angle of a triangle divides the opposite side into segments proportional to... | |
 | Joseph George Coffin - 1911 - عدد الصفحات: 308
...meet in a point. 11. Find the point of intersection of a line and a plane and discuss the result. 12. The perpendicular bisectors of the sides of a triangle meet in a point. 13. Find an expression for the common perpendicular to two lines not lying in the same plane. 14. Determine... | |
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The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14... 
