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Teokset Teokset 1 - 10 / 108 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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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 sivua
...of the inscribed circle with the opposite vertices of the triangle meet in. a point; that the three perpendiculars from the vertices of a triangle to the opposite sides meet in a point ; and that the three medial linet, of a triangle meet in a point. ANHARMONIC RATIO. 8. Dtfinition....

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 sivua
...equally distant from the three vertices of the triangle. / / PROPOSITION XLII.— THEOREM. 132. The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point. Let AD, BE, CF, be the perpendiculars from the vertices of the triangle ABC to the...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 368 sivua
...of the inscribed circle with the opposite vertices of the triangle meet in a point; that the three perpendiculars from the vertices of a triangle to the opposite sides meet in a point; and that the three medial linn of a triangle meet in a point. ANHARMONJC RATIO. • 8. D'finition....

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 368 sivua
...equally distant from the three vertices of the triangle. ' PROPOSITION XLII.— THEOREM. 132. The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point. Let AD, BE, CF, be the perpendiculars from the vertices of the triangle ABC to the...

Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

James Bryce - 1874
...8.) and OD is perpendicular to BC. QED Cor. — Hence it follows that the three perpendiculars drawn from the vertices of a triangle to the opposite sides, meet in the same point. Let AD, BE, CF bo the three perpendiculars from the angles A, B, C of the triangle...

Dublin examination papers

1876
...? MR. BURNSIDE. 7. Show how to inscribe a square in any given triangle. 8. The perpendiculars drawn from the vertices of a triangle to the opposite sides meet in a point. 9. Prove that the sum of the squares on the diagonals of a parallelogram is equal to the sum of the...

Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - 1876 - 372 sivua
...tlieir middle points, to the tliree vertices are equal. (?) 112. Proposition LI.— Theorem. The three perpendiculars from the vertices of a triangle to the opposite sides meet in tlie same point. Let ABC be a triangle, AD, y__ BE, CF, perpendiculars from \ the vertices, A, B, C,...

Report, Niteet 11–20

1876
...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...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 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. Let ABC be a triangle, and let AD, BE, CF be drawn from the vertices perpendicular to the opposite sides. The...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 sivua
...straight line is the J. erected at the middle of that line). PROPOSITION XXXVII. THEOREM. 121. The three perpendiculars from the vertices of a triangle to the opposite sides meet in a point. Bi In the triangle A£C, let BP, AH, CK, be the perpendiculars from the vertices to the opposite sides....




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