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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 - Page 75
by Scottish school-book assoc - 1845
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Annual Report of the Department of Education ..., Volume 4, Part 1911; Volume 6

Alberta. Department of Education - Education - 1912 - 244 pages
...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 pages
...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 - Universities and colleges - 1913 - 768 pages
...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, Volume 6

Ontario. Legislative Assembly - Ontario - 1914 - 996 pages
...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 pages
...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 pages
...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 - Euclid's Elements - 1908 - 196 pages
...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, Volume 13

Industrial arts - 1865 - 564 pages
...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, Volume 22; Volume 32

Education - 1900 - 812 pages
...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 pages
...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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