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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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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...into two equal angles, by a straight line which also cuts the base ; the segments of the base shall have the same ratio which the other sides of the triangle have to one another : and conversely, if the segments of the base 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 - 1849 - Liczba stron: 317
...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 ether sides of the triangles have, the straight line, drawn from the vertex to the point of section,...
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The English Journal of Education, Tom 4

1850
...which the other sides of the triangle have to one another : and conversely, if the segments of the base have the same ratio which the other sides of the triangle have to one another; the straight line drawn from the vertex to the point of section, divides the vertical...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - Liczba stron: 173
...divided into two equal angles by a straight line which also cuts the base, the segments of the base have the same ratio which the other sides of the triangle have to one another. If A, B, C be three points in a straight line, and D a point at which AB and EC subtend...
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THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...divided into two equal angles by a straight line, which also cuts the base, the segments of the base have the same ratio which the other sides of the triangle have to one another, (vi. 3.) (JB). If A, B, C, be three points in a straight line, and D a point at which...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - Liczba stron: 147
...divided into two equal angles by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another ; and if the .ments of the base have the same ratio which the other sides of the triangle...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...same ratio which the other sides of the triangle have to one another : and if the segments of the base have the same ratio which the other sides of the triangle have to one another, the straight line drawn from the vertex to the point of section divides the vertical...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...and if the segments of the base produced arc to each other as the remaining sidca of the triangle, the straight line drawn from the vertex to the point of section, divides the outward angle of the triangle into two equal angles. * 31 I. Through С draw CF parallel...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...conversely, if the segments of the base produced have the same ratio to one another which the adjacent sides of the triangle have, the straight line drawn from the vertex to the point ef section, bisects the exterior angle of the triangle. Let AB С be a triangle, having one of its...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - Liczba stron: 318
...extremities of the base have the same ratio which the other sides of the trianglet have to one another; And if the segments of the base produced have the same ratio «•/(!•:/( the other sides of the triangles have, the straight line, drawn from the vertex to the...
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