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" ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one... "
A Supplement to the Elements of Euclid - Side 296
av Daniel Cresswell - 1819 - 410 sider
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Sessional Papers, Volum 22,Del 2

Great Britain. Parliament. House of Commons - 1900 - 686 sider
...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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Calendar of the University of Sydney

University of Sydney - 1902 - 640 sider
...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 - 236 sider
...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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Calendar, Del 3

University of Calcutta - 1908 - 562 sider
...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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Annual Report of the Department of Education of the Province of Alberta, Volum 5

Alberta. Department of Education - 1911 - 226 sider
...also cuts the base produced, the segments between the bisector and the extremities of the base shall have the same ratio which the other sides of the triangle have to one another. VI— A. 8 14. State and prove the converse of the theorem in number 13. 9 15. P is...
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Mechanics and Applied Mathematics: Dynamics, Statics, Hydrostatics, Volum 1

W. D. Hills - 1925 - 278 sider
...DH. Then the CG of the rods lies on this line. Also, since the segments of the base of this triangle have the same ratio which the other sides of the triangle have to one another ; then DH bisects the angle FDE.1 In the same way it may be shown that the CG lies on...
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The Scientific Letters and Papers of James Clerk Maxwell: Volume 1, 1846-1862

James Clerk Maxwell - 1990 - 836 sider
...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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Parliamentary Papers, Volum 43

Great Britain. Parliament. House of Commons - 1863 - 616 sider
...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. 11. If a solid angle be contained by three plane angles, these three angles are together...
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The Journal of Education, Volum 22;Volum 32

1900 - 812 sider
...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." " In proving this proposition," he continued, " 1 used invariably to draw a figure...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumer 15-16

1870 - 964 sider
...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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