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" If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight... "
Key to System of practical mathematics. 2 pt. No.xvii - Página 75
por Scottish school-book assoc - 1845
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Annual Report of the Department of Education of ..., Volumen4,Parte1911;Volumen6

Alberta. Department of Education - 1912 - 244 páginas
...at A; show that the square on AB is equal to the rectangle AB BC and the square on BC. 8 13. If the vertical angle of a triangle be bisected by a straight line which cuts the base, the segments of the base shall hav,e to one' another, the same ratio as the remaining...
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Regulations and Courses of Study of the Continuation Schools ...

Ontario. Dept. of Education - 1913 - 128 páginas
...hypotenuse is equal to the sum of the similar and similarly described figures on the two other sides. If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle...
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The Calendar

University of South Africa - 1913 - 768 páginas
...hypotenuse is equal to the sum of the similar and similarly described figures on the other two sides. If the vertical angle of a triangle be bisected by a straight line which cuts the base, the square on this bisector is equal to the difference between the rectangle contained...
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Sessional Papers - Legislature of the Province of Ontario, Volumen6

Ontario. Legislative Assembly - 1914 - 996 páginas
...hypotenuse is equal to the sum of the similar and similarly described figures on the two other sides. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle...
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The Bombay University Calendar

University of Bombay - 1902 - 1102 páginas
...by the segments of the base, together with the square ou the straight line which bisect« the angle, If the exterior vertical angle of a triangle be bisected by a straight line which likewise cuts the base, shew that the rectangle contained by the sides of the triangle, together with...
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Calendar

University of St. Andrews - 1897 - 600 páginas
...diagonals of a regular pentagon are the vertices of another regular pentagon. 5. If the interior or exterior vertical angle of a triangle be bisected by a straight line which cuts the base, then the base is divided internally or externally into segments which are proportional...
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The Contents of the Fifth and Sixth Books of Euclid (with a Note on ...

Euclid - 1908 - 196 páginas
...To find a mean proportional between two given segments of straight lines. 36. (i) If the interior or exterior vertical angle of a triangle be bisected by a straight line which also cuts the base, the base is divided internally or externally in the ratio of the sides of the triangle....
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Journal, Volumen13

1865 - 564 páginas
...number of similar triangles, having the same raiio to one another that the polygons have. IU. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by ttie sides of the triangle is equal to the rectangle...
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The Journal of Education, Volumen22;Volumen32

1900 - 812 páginas
...had himself begun to teach this very proposition to others. Let us recall this proposition. " If the vertical angle of 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...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 páginas
...triangle equiangular to a given triangle. 6. Define ratio, proportion, ex aequali, and part. 7. If the vertical angle of 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...
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