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Teokset Teokset 51 - 60 / 109 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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Plane and Solid Geometry

George Albert Wentworth - 1899 - 473 sivua
...and B. Hence, 0 is equidistant from B and C, and therefore is in the _L bisector FF'. (Why ?) Ex. 26. The perpendiculars from the vertices of a triangle to the opposite sides meet in a point. , A _, Let the Js be AH, BP, and CK. Through A, B, C suppose B'C', A'C', A'R, drawn II to BC, AC, AB,...

The Essentials of Geometry

Webster Wells - 1899 - 395 sivua
...interior angles of a parallelogram form a rectangle. RECTILINEAR FIGURES. 63 PROP. LI. THEOREM. 138. The perpendiculars from the vertices of a triangle to the opposite sides intersect at a common point. Given AD, BE, and CFfhe Js from the vertices of A ABC to the opposite...

New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 382 sivua
...case of prop. XXXI : The perpendicular bisectors of the sides of a triangle are concurrent. 510. Also, the perpendiculars from the vertices of a triangle to the opposite sides are concurrent. 511. If three circumferences intersect in pairs, the common chords are concurrent....

Plane and Solid Geometry

William James Milne - 1899 - 384 sivua
...from the vertices perpendicular to the opposite sides. Do these lines intersect in a point? Theorem. The perpendiculars from the vertices of a triangle to the opposite sides pass through the same point. H c Data: Any triangle, as ABC, and the lines AD, BE, and CF drawn from...

New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 sivua
...and b, Prop. XLII .'. P1 lies on CT. Similarly for P , . Prop. XLII PROPOSITION XLV. 133. Theorem. The perpendiculars from the vertices of a triangle to the opposite sides are concurrent. Given the A ABC. To prove that the perpendiculars from A, B, C, to a, b, c, respectively,...

Annual Report of the State Superintendent of Public Instruction, Numero 46

New York (State). Dept. of Public Instruction - 1900
...examples of two of them. 2 Give two theorems upon the equality of triangles, and prove your second. S The perpendiculars from the vertices of a triangle to the opposite sides meet in a 682 Department of Public Instruction 6 Prove that two triangles are similar when the sides of one are...

Principles of Architectural Perspective

1902 - 93 sivua
...picture plane. SPa will be vertically in line with SPr at a distance from HPP equal to rs. 133. — Since the perpendiculars from the vertices of a triangle to the opposite sides meet in a common point, it is evident that any three points may represent the vanishing points of three systems...

Ellen: or, Whisperings of an old pine, Nide 1

Joseph Battell - 1903
...with the diagonal, makes an isosceles triangle, of which half of the other diagonal is the altitude. 'The perpendiculars from the vertices of a triangle to the opposite sides meet in a point.' M "This is only true in an acute or right angle triangle, unless the perpendiculars are extended. XLIX....

Plane and Solid Geometry

George Albert Wentworth - 1904 - 473 sivua
...B. Hence, 0 is equidistant from B and C, and B therefore is in the J- bisector FF'. (Why ?) Ex. 26. The perpendiculars from the vertices of a triangle to the opposite sides meet in a point. • A Let the -ls be AH, BP, and CK. Through A, B, C suppose B'C', A'C', A'B', drawn II to BC, AC,...

Plane Geometry

Fletcher Durell - 1904 - 372 sivua
...DP, EQ, FR, of tlie three sides of the A ABC meet in the point 0. QED PROPOSITION XLV. THEOREM 186. The perpendiculars from the vertices of a triangle to the opposite sides meet in a point (called the ortho-center). B Given AD, BF, and CE the perpendiculars from the vertices A, B, and C...




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