 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 106tekijä(t) Edwin Bidwell Wilson, Josiah Willard Gibbs - 1901 - 436 sivuaKoko teos - Tietoja tästä kirjasta
 | William Chauvenet - 1871 - 380 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.... | |
 | William Chauvenet - 1871 - 380 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... | |
 | William Chauvenet - 1872 - 382 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.... | |
 | William Chauvenet - 1872 - 382 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... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sivua
...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 city, univ - 1876 - 420 sivua
...? 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... | |
 | Aaron Schuyler - 1876 - 384 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,... | |
 | 1876 - 646 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... | |
 | Elias Loomis - 1877 - 458 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... | |
 | George Albert Wentworth - 1877 - 416 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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