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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 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. 4. In a right-angled triangle, if a perpendicular be drawn from the right angle to...
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Examination Christmas,1875

Education Department,London - 1876
...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 all the angles of a triangle be thus divided, the continued product of three alternate...
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Mathematical exercises

Samuel H.. Winter - 1877
...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. By means of this proposition prove that the three straight lines, which bisect the...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...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 ABC be the triangle, A the vertical angle, BE, CE the segments of the base, and...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 sider
...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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...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 Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 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 tlie exterior...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...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 Bombay university calendar, Volum 1

Bombay city, univ - 1880
...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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