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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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...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 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. Find a point C in ACB, a given segment of a circle, such that the straight line AC...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...ratio which the other siib s of the triangle have to one' another; and if the segmente of the baso 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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 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. Find a point C in ACB, a given segment of a circle, such that the straight line AC...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 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 have to one another. (2) Conversely : — If the segments of the base produced have the same ratio which...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 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. Conversely, if the segments of the base have the same ratio which the other sides of...
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 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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Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - Education - 1900 - 906 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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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 566 pages
...ratio which the other sides of the triangle have to one another ; and if the segments of the biiso have the same ratio which the other sides of the triangle have to one another, tjip straight line drawn from the vertex to the point of section shall bisect the vertical...
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