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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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Special Reports on Educational Subjects, Tomy 6-7

Great Britain. Board of Education - 1900
...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 shall bisect the vertical...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...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 shall bisect the vertical angle. 11. If four straight lines be proportionals, the rectangle contained...
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Higher Mathematics for Students of Chemistry and Physics: With Special ...

Joseph William Mellor - 1902 - Liczba stron: 543
...segments of the base produced have to one another the same ratio as the remaining sides of the triangle, the straight line drawn from the vertex to the point of section bisects the external angle". Hence in the triangle FPP\, the tangent bisects the external angle FPli, and the normal...
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Calendar

University of Sydney - 1902
...a triangle be bisected 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 as the sides of the...
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Vectors and Rotors: With Applications

Olaus Henrici, George Charles Turner - 1903 - Liczba stron: 204
...line cutting 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. (21) The three bisectors of the angles of a triangle meet in a point. COORDINATES. 46. We saw in §...
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A Text-book of Euclid's Elements for the Use of Schools, Księga 1

Euclid - 1904 - Liczba stron: 456
...divided so that its segments have to one another the same ratio as the remaining sides of the triangle, the straight line drawn from the vertex to the point of section shall bisect the vertical angle. In the A ABC, let the L. BAC be bisected by AX, which meets the base...
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Calendar, Część 3

University of Calcutta - 1908
...triangle be bisected by a straight 4 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. ABC is a triangle right-angled at A ; AX, AY are equally 5 inclined to AB, and meet...
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The Scientific Letters and Papers of James Clerk Maxwell: Volume 1, 1846-1862

James Clerk Maxwell - 1990 - Liczba stron: 776
...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, bisects the vertical...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam
...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 shall bisect the vertical angle. 5. Describe an isosceles triangle, having each of the angles at the...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Tomy 15-16

1870
...where the inscribed circle touches it. 2. If the base of a triangle be divided into two segments which 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 shall bisect the vertical...
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