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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 - Page 256
by Daniel Cresswell - 1819 - 410 pages
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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878 - 228 pages
...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. If the angle A of a triangle ABC and also the adjacent exterior angle be bisected by...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 414 pages
...equimultiples, these shall be equimultiples, the one of the second, and the other of the fourth. base shall have the 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...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...of a triangle be bisected by a straight line which also cuts the base, the segments of the base will have the same ratio, which the other sides of the triangle have to each other. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD, which...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pages
...base produced, the segments between the dividing straight line and the extremities of the base shall have the same ratio which the other sides of the triangle...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 for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...base produced, the segments between the dividing straight line and the extremities of the base shall have the same ratio which the other sides of the triangle...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 tlie exterior...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...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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The Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 750 pages
...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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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...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 - Naval education - 1880 - 346 pages
...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 Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...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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