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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... "
Solutions of the Cambridge Problems: From 1800 to 1820 - Page 654
by John Martin Frederick Wright - 1825 - 653 pages
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 414 pages
...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 have to one another, the straight line drawn from the vertex to the point of section shall bisect the vertical angle. 5....
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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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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...equal angles by a straight line, which also cuts the base produced ; the segments between the dividing line and the extremities of the base have the same...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 and exterior angles...
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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
...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 have to one another, the straight line drawnfrom the vertex to the point of section shall bisect the vertical angle. Let...
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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
...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 have to one another, the straight line drawn from the vertex to the point of section shall bisect the vertical angle. 6....
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Report on Foreign Systems of Naval Education

James Russell Soley - Naval education - 1880 - 346 pages
...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 have to one another, the straight line drawn from the vertex to the point of section shall bisect the vertical angle. 6....
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The Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 754 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 in BC produced...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...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 ; and conversely. 8. What are the units of angular measure commonly employed ? Find the circular measure...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pages
...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. The triangle ABC is right-angled at C. The internal and external bisectors of the angle BAG meet the...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...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 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...
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