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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 ... - Strona 160
autor: John Playfair - 1806 - Liczba stron: 311
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Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Tom 3

United States. Congress. Senate - 1880
...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 - 1889
...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 - Liczba stron: 515
...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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Examinations Papers

1891
...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. 3. Show that any straight line through the point of intersection of...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1892 - Liczba stron: 518
...Conversely, if the segments of the base produced have to one another the same ratio as the remaining sides of the triangle have, the straight line drawn from the vertex to the point of section shall bisect the exterior vertical angle. In the A ABC let BA be produced to F, and let the exterior...
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Examinations Papers

1897
...conversely, if the base be divided so that its segments have to one another the same ratio as the remaining sides of the triangle have, the straight line drawn from the vertex to th« point of section shall bisect the vertical angle. Hence or otherwise shew that the bisectors of...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories. Council of Public Instruction - 1897
...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, Tom 22,Część 2

Great Britain. Parliament. House of Commons - 1900
...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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Examination Papers

University of Toronto - 1900
...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. Prove also the converse of this. 4. To find a mean proportional between two given straight...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - Liczba stron: 531
...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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