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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

...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...