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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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A Text-book of Geometry

George Albert Wentworth - 1888 - عدد الصفحات: 272
...BC and AB. Hence 0 is equidistant from AC and BC, and therefore is in the bisector CF. (Why ?) 31. The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from the vertices of the triangle. HINT. Let the -L bisectors EE' and DD' intersect...

Concrete Geometry by the Inductive Method ...

J. R. Bevis - 1896 - عدد الصفحات: 174
...bisectors of the angles of a triangle meet in a point equally distant from the sides ? 30. Prove that the perpendicular bisectors of the sides of a triangle meet in a point equally distant from the vertices. 31. Find the radius of each concentric circle in No. 9 (page 89)....

Plane and Solid Analytic Geometry

Frederick Harold Bailey - 1897 - عدد الصفحات: 392
...Prove analytically that the medial lines of a triangle meet in a point. 95. Prove analytically that the perpendicular bisectors of the sides of a triangle meet in a point. (Take one vertex of the triangle as the origin, and one side as the axis of x. Then the vertices are...

Plane Geometry

George Albert Wentworth - 1899 - عدد الصفحات: 272
...BC and AB. Hence, 0 is equidistant from AC and BC, and therefore in the bisector CF. (Why ?) Ex. 25. The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from the vertices of the triangle. Let the J. bisectors EE' and DD" intersect...

Plane and Solid Geometry

George Albert Wentworth - 1899 - عدد الصفحات: 498
...BC and AB. Hence, 0 is equidistant from AC and BC, and therefore in the bisector CF. (Why ?) Ex. 25. The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from the vertices of the triangle. Let the _L bisectors EE' and DD' intersect...

The Elements of the Differential and Integral Calculus: Based on ...

Jacob William Albert Young, Charles Elijah Linebarger - 1900 - عدد الصفحات: 434
...by forming the equations of the perpendicular bisectors of the sides, the geometrical theorem that the perpendicular bisectors of the sides of a triangle meet in a point. 8. By considering the general triangle, whose sides are : ax + by + c = 0, dx+ey +/=0, gx + hy + i-...

Report of the Superintendent of Public Instruction

Michigan. Department of Public Instruction - 1902 - عدد الصفحات: 330
...theorems of plane geometry. 4. Give two demonstrations and two applications of the Pythagorean Theorem. 6. The perpendicular bisectors of the sides of a triangle meet in a point, ie, are concurrent. Demonstrate. ti. The medians of a triangle meet at a trisection point of each....

Plane and Solid Geometry

George Albert Wentworth - 1904 - عدد الصفحات: 496
...BC and AB. Hence, 0 is equidistant from AC and BC, and therefore in the bisector CF. (Why ?) Ex. 25. The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from the vertices of the triangle. Let the -L bisectors EE' and DUf intersect...

School Science and Mathematics, المجلد 11

1911 - عدد الصفحات: 946
...(Corollary to 7.) 10. A circle may be circumscribed about any regular polygon. [O13, third part.] 11. The perpendicular bisectors of the sides of a triangle meet in a point. [T3.1 (Corollary to 7.) VI. Bisectors of Angles. 1. The bisector of any angle is the locus of points...

Plane and Solid Geometry

Isaac Newton Failor - 1906 - عدد الصفحات: 431
...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...




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