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" Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest. "
A Shorter Geometry - Page xxi
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Calendar

University of Allahabad - 1912 - 918 pages
...of a triangle arc unequal, the greater side has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawn to a given...line from a given point outside it, the perpendicular i:i the shortest. The opposite sides and anarles of a parallelogram are equal ; eacli diagonal bisects...
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Calendar

University of Allahabad - 1913 - 692 pages
...of a triangle are unequal, the greater side has the greater angle opposite to it : and the converse. Of all the straight lines that can be drawn to a given straight line from я given point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1914 - 284 pages
...this theorem. 3. Prove that the bisectors of the base angles of an isosceles triangle are equal. 4. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. 6. Prove that the straight line joining the middle points of the sides of a triangle is parallel to...
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Regulations

University of Calcutta - 1914 - 430 pages
...opposite to it : and the converse. Any two sides of a triangle are together greater than the third. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal : each diagonal bisects the parallelogram,...
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Bulletin, Issues 38-46

Education - 1915 - 906 pages
...of a triangle are unequal, the greater side has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal; each diagonal bisects the parallelogram;...
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Bulletin, Issues 33-43

Education - 1915 - 816 pages
...of a triangle are unequal, the greater side has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal; each diagonal bisects the parallelogram;...
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Mathematics in the Lower and Middle Commercial and Industrial ..., Issues 34-42

Edson Homer Taylor - Mathematics - 1915 - 552 pages
...of a triangle are unequal, the greater side has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal; each diagonal bisects the parallelogram;...
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Statistics of Land-grant Colleges and Universities, Volume 3, Issues 31-44

United States. Office of Education - Agricultural colleges - 1915 - 1296 pages
...of a triangle are unequal, the greater side has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal; each diagonal bisects the parallelogram;...
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Conditions of Recognition, Classification, and Payment of Teachers in the ...

Teachers - 1923 - 264 pages
...of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...36 ^THEOREM 18. Any two sides of a triangle are together greater than the third side 37 THEOREM 19. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest 39 EXERCISES 39 Chapter VI. NOTE ON DEFINITIONS 42 THE PARALLELOGRAM. THEOREM 20. (i) The opposite...
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