 | Edward Rutledge Robbins - 1915 - 280 sivua
...at O, and O is equally distant from the three sides. QED PROPOSITION XXXII. THEOREM 100. 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, the three _L bisectors. To Prove... | |
 | William Betz - 1916 - 536 sivua
...sides of the Z. A OB. .'.all points equidistant from OA and OB lie in the bisector of the Z. A OB. 241. The perpendicular bisectors of the sides of a triangle meet in a point equidistant from the three vertices. c E a Given the triangle ABC, with DH, El, and FG the perpendicular... | |
 | Edith Long, William Charles Brenke - 1916 - 292 sivua
...with the point of intersection as a center? The result of this exercise may be stated: Theorem VI. The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from its vertices. This point is the center of the circumscribed circle. 6. Draw... | |
 | William Betz, Harrison Emmett Webb - 1916 - 214 sivua
...conversely, all points equidistant from the sides of an angle lie in the bisector of the angle. 241-242. The perpendicular bisectors of the sides of a triangle meet in a point equidistant from the vertices of the triangle. This point is called the circumcenter of the triangle.... | |
 | John Wesley Young, Frank Millett Morgan - 1917 - 584 sivua
...the point (1, 7) and makes an angle of — 45° with the line x + 2 y = 1. 7. Prove analytically that the perpendicular bisectors of the sides of a triangle meet in a point. 8. Prove analytically that the altitudes of a triangle meet in a point. 9. Prove analytically that... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - 1917 - 536 sivua
...points of the adjacent sides of any quadrilateral form a parallelogram. 72. Prove analytically that the perpendicular bisectors of the sides of a triangle meet in a point. 73. Prove analytically that the perpendiculars from any two vertices of a triangle to the median from... | |
 | Eugene Randolph Smith, William Henry Metzler - 1918 - 232 sivua
...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. (<f) The bisectors of the interior angles... | |
 | Herbert Ellsworth Slaught - 1918 - 344 sivua
...and compare them. Also measure BO and '^ THE CIRCUMCENTER OF A TRIANGLE 196. THEOREM XXXIV. The three perpendicular bisectors of the sides of a triangle meet in a point. a Given FH, DG, and EK perpendicular bisectors of the sides AS, BC, and AC of A ABC. To prove that... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1918 - 360 sivua
...these medians does this seem to verify ? THE CIRCUMCENTER OF A TRIANGLE 196. THEOREM XXXIV. The three perpendicular bisectors of the sides of a triangle meet in a point. FB Given FH, DG, and EK perpendicular bisectors of the sides AB, BC, and AC of A ABC. To prove that... | |
 | 1921 - 1190 sivua
...vertex to the mid-point of the opposite side. 10. The altitudes of a triangle meet in a point. 11. 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 tanuonts to a circle from an... | |
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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... 
