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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... "
Vector Analysis: A Text-book for the Use of Students of Mathematics ... - الصفحة 113
بواسطة Edwin Bidwell Wilson, Josiah Willard Gibbs - 1901 - عدد الصفحات: 436
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Plane Geometry

William Betz, Harrison Emmett Webb - 1912 - عدد الصفحات: 368
...OB. .\ all points equidistant from OA and OB lie in the bisector of PROPOSITION XXXVI. THEOREM 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...

Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - 1912 - عدد الصفحات: 360
....-. all points equidistant from OA and OB lie in the bisector of th PROPOSITION XXXVI. THEOREM 241 . The perpendicular bisectors of the sides of a triangle meet in a point equidistant from the three vertices. CE a Given the triangle ABC, with DH, El, and FG the perpendicular...

Solid Geometry

Walter Burton Ford, Charles Ammerman - 1913 - عدد الصفحات: 176
...can be drawn. 121. Corollary 1. A circle may be drawn to circumscribe any triangle. 122. Corollary 2. The perpendicular bisectors of the sides of a triangle meet in a point. 123. Corollary 3. A circle may be completed if any arc of it is given. 124. Theorem X. A circle may...

Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - 1913 - عدد الصفحات: 376
...triangle. [ Draw the three perpendicular bisectors of the sides of the triangle.] 122. Corollary 2. The perpendicular bisectors of the sides of a triangle meet in a point. (Compare Theorem XXX, § 102.) This point is called the circumcenter, because it is the center of the...

Final Report of the National Committee of Fifteen on Geometry Syllabus: July ...

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - 1912 - عدد الصفحات: 60
...(Corollary to 7.) 10. A circle may be circumscribed about any regular polygon. [613, third part.] 11. The perpendicular bisectors of the sides of a triangle meet in a point. [T3.] VI. Bisectors of Angles 1. The bisector of any angle is the locus of points equidistant from...

Final Report of the National Committee of Fifteen on Geometry Syllabus: July ...

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - 1912 - عدد الصفحات: 60
...(Corollary to 7.) 10. A circle may be circumscribed about any regular polygon. [Gi3, third part.] n. The perpendicular bisectors of the sides of a triangle meet in a point. [T3.] VI. Bisectors of Angles 1. The bisector of any angle is the locus of points equidistant from...

Plane Geometry

Walter Burton Ford, Earle Raymond Hedrick - 1913 - عدد الصفحات: 272
...triangle. [Draw the three perpendicular bisectors of the sides of the triangle.] 122. Corollary 2. The perpendicular bisectors of the sides of a triangle meet in a point. (Compare Theorem XXX, § 102.) This point is called the circumcenter, because it is the center of the...

Plane Analytic Geometry: With Introductory Chapters on the Differential Calculus

Maxime Bôcher - 1915 - عدد الصفحات: 266
...same coordinates and notation as in Example 1, § 28, the coordinates of this point are 2. Prove that the perpendicular bisectors of the sides of a triangle meet in a point. Show that, using the same coordinates and notation as in Problem 1, the coordinates of this point are...

Analytic Geometry

Wallace Alvin Wilson, Joshua Irving Tracey - 1915 - عدد الصفحات: 236
...medians of any triangle meet in a. point. (Take the vertices as (0, 0) (a, 0), and (b, c).) 10. Show that the perpendicular bisectors of the sides of a triangle meet in a point. 11. Show that the perpendiculars from the vertices of a triangle on the opposite sides meet in a point....

Plane Geometry

John Wesley Young, Albert John Schwartz - 1915 - عدد الصفحات: 248
...perpendicular to each other. What is the locus of the mid-point of the segment? See Ex., § 213. , / 6. The perpendicular bisectors of the sides of a triangle meet in a point. Let KL and GH be the perpendicular bisectors of AB and BC, respectively. GH and KL must meet in some...




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