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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 ... - Side 160
av John Playfair - 1806 - 311 sider
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...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. 2. If two triangles have one angle of the one equal to one angh of the other, and the sides about the...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...another, as the other sides of the triangle (AB, AC) have. [2.] And if the segments (BD, DC) of the lose produced, have the same ratio which the other sides of the triangle (AB, AC) have, the straight line (AD) drawn from the vertex to the point of section bisects the exterior...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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 angle into two equal angles. FIRST DIVISION.— (B.) 1. IF two angles of a triangle...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...of a triangle be divided by a straight line which also cuts the base, and the segments of the base have the same ratio which the other sides of the triangle have to one another, the vertical angle of the triangle shall be divided into two equal angles. MECHANICS...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...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. If, on the same side of a point 0 in the same straight line, points A, C, B be taken...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 sider
...adjacent segment of the base as the other side is to the other segment, and the segments of the base shall have the same ratio which the other sides of the triangle have to one another. Any two triangles having an equal angle in each, contained by proportional sides, are...
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Manual of Euclid: books iv., v., vi., by J.A. Galbraith and S. Haughton

Euclides - 1859
...have; and conversely, if the segments of the base 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 of section bisects the vertical angle. PART L Statement. — Let ABC be the triangle, and let the angle BAС be bisected by...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 sider
...divided into two equal parts 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. 9. Shew how to measure on the ground the angle contained between any two inaccessible lines. 10. Through...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...base, have the same ratio which the other sides of the triangle have to one another: and conversely, if the segments of the base produced have the same ratio which the other sides of the tria-nglc have; the straight line drawn from the vertex to the point of section divides the outward...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...to one another, as the other sides of the triangle (AB, AC) have. [2.] And if the segments (BD, DC) of the base produced, have the same ratio which the other sides of the triangle (AB, AC) have, the straight line (AD) drawn from the vertex to the point of section bisects the exterior...
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