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Teokset Teokset 11 - 20 / 113 haulle The perpendiculars from the vertices of a triangle to the opposite sides meet in....
" The perpendiculars from the vertices of a triangle to the opposite sides meet in a point. Let the Js be AH, BP, and CK. Through A, B, C suppose B'C', A'C', A'B', drawn II to BC, AC, AB, respectively. Then AH is _L to B'C'. (Why ?) Now ABCB' and A CBC'... "
Vector Analysis: A Text-book for the Use of Students of Mathematics ... - Sivu 106
tekijä(t) Edwin Bidwell Wilson, Josiah Willard Gibbs - 1901 - 436 sivua
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - 1877 - 240 sivua
...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....

An Elementary Treatise on Analytic Geometry, Embracing Plane Geometry and an ...

Edward Albert Bowser - 1880 - 287 sivua
...tarry till he has mastered all the examples in any one article.] 1. Prove that the perpendiculars drawn from the vertices of a triangle to the opposite sides meet in a point. Let ABC be the triangle ; AF, BE, CD the perpendiculars. Assume AX and AY as the rectanguE « Fig. 38. lar axes ; and let the...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 443 sivua
...three lines AD, BE, CF pass through the same point. PROPOSITION VI. 90. The three perpendiculars drawn from the vertices of a triangle to the opposite sides meet in a point. I.et ABC be a triangle, and let AD, BE, CF be drawn from the vertices perpendicular to the opposite...

An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 240 sivua
...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....

Elements of Geometry

George Albert Wentworth - 1881 - 250 sivua
...line is the -L erected at the middle oftliat line). QED PROPOSITION XXXVII. THEOREM. 121. The three perpendiculars from the vertices of a triangle to the opposite sides meet in a point. A' In the triangle ABC, let BP, AН, С К, be the perpendiculars from the vertices to the opposite...

Geometrical Exercises for Beginners

Samuel Constable - 1882 - 203 sivua
...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 to those of the...

Elements of Plane Geometry

Franklin Ibach - 1882 - 196 sivua
...¿— a = ¿— b ; and = AD=}AC. (63) (138) (45) (83) THEOREM XLIX. 143. The perpendiculars drawn from the vertices of a triangle to the opposite sides meet in a common point. • In the A ABC, let AD, BE, and С F be the _Ls from the vertices to the opposite sides....

Texas School Journal, Nide 20

1902
...— |- 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. If D, E,...

Essentials of Geometry

Alfred Hix Welsh - 1883 - 267 sivua
...joining the adjacent middle points of the sides of a quadrilateral is a parallelogram. 10. The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point. Suggestion.—Through the vertices of the triangle draw parallels to the opposite sides;...

Yale Examination Papers

F. B. Stevens - 1884 - 175 sivua
...with respect to a point lying within and with respect to an axis cutting the triangle. 2. The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point. 3. To construct a polygon similar to a given polygon, the ratio of similitude of the...




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