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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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The Bombay university calendar, Volum 1

Bombay city, univ - 1880 - 754 sider
...triangle be bisected by a 15 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 the base BC of a triangle A BC a point D is taken so that BD : DC :: BA : AC, and...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 sider
...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 - 222 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 - 346 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 - 236 sider
...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, Volum 2

1882 - 498 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 ; 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 - 428 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 - 434 sider
...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 - 624 sider
...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 - 148 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. Find a point C in ACB, a given segment of a circle, such that the straight line AC...
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