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" ... extremities of the base shall have the same ratio which the other sides of the triangle have to one... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Strona 160
autor: John Playfair - 1806 - Liczba stron: 311
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...segments of the base have the same ratio which the remaining sides of the triangle have, the right line drawn from the vertex to the point of section bisects the vertical angle of the triangle. • 31.i. For through c draw CE parallel* to DA and BA proLet ABC be...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - Liczba stron: 513
...also cuts the base produced; the segments between the dividing line and the extremities of the base have the same ratio which the other sides of the triangle have to one another : and if the segments of the base produced have the same ratio which the other sides...
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Alma Mater, Or, Seven Years at the University of Cambridge, Tom 1

John Martin Frederick Wright - 1827
...also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio which the other sides of the triangle have to one another. Shew that the converse is also true. 2. Equiangular parallelograms have to one another...
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Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827
...also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio which the other sides of the triangle have to one another. Shew that the converse is also true. 2. Equiangular parallelograms have to one another...
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Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - Liczba stron: 186
...segments between the bisecting line and the extremities of the base have the same ratio which the adjacent sides of the triangle have to each other; and if the...of the base produced have the same ratio which the adjacent sides of the triangle have, the straight line drawn from the vertex to the point of section...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - Liczba stron: 333
...ratio which the other sides of the triangles have to one another: •find if the segments oj 'tliebase produced have the same ratio which the other sides...line, drawn from the vertex to the point of section, bisect the exterior angle of the triangle. Let the exterior angle C AE, of any triangle ABC, be bisected...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - Liczba stron: 333
...extremities of the base have the same ratio which the other sides of the triangles have to one another ; And if the segments of the base produced have the...have, the straight line, drawn from the vertex to tJie point of section, bisects the exterior angle of the triangle. Let the exterior angle CAE, of any...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - Liczba stron: 316
...extremities of the base have the same ratio which the other sides of the triangles have to one another ; And if the segments of the base produced have the same ratio which the other sides of the triangles have, the straight line, drawn from the vertex to the point of section, bisects the exterior...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - Liczba stron: 513
...also cuts the base produced ; the segments between the dividing line and the extremities of the base have the same ratio which the other sides of the triangle have to one another : And if the segments of the base produced have the same ratio which the other sides...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - Liczba stron: 471
...extremities of the base have the same ratio which the other sides of the triangles have to one another : And if the segments of the base produced have the...point of section bisects the exterior angle of the triangleLet the exterior angle CAE of any triangle ABC, be bisected by the straight line AD which meets...
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