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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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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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. 11. When are three lines said to be in harmonical proportion? If both the interior...
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 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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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 335 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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...conversely, if the segment! of the base produced have the tame ratio to one another which the adjacent sides of the triangle have, the straight line drawn from the vertex to the point of lection, bisccfs the exterior angle of the triangle. Let ABC be a triangle, having one of its sides...
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The Cambridge Examiner

1882
...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 conversely, if the segments of the base have the same ratio which the other sides...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...extremities of the base shall 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 of the triangle have to one another, the straight line drawn from the vertex to the point of section shall bisect the exterior...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...triangle have. Conversely : If the external segments of the base have to one another the same ratio as the other sides of the triangle have, the straight line drawn from the vertex to flie point of section shall bisect the exterior vertical angle, FBC D (1) Let the exterior vertical...
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Cambridge University Examination Papers

University of Cambridge - 1884
...equilateral triangle. 8. If the segments between the extremities of the base of a triangle and a point in the base produced 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 exterior...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...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. Find a point C in ACB, a given segment of a circle, such that the straight line AC...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...the triangle; and if the segments of the base are to each other as the other sides of the triangle, the straight line drawn from the vertex to the point of section bisects the vertical angle. AB is the base of a triangle ABC whose sides are the segments of a line divided in...
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