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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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Syllabus of Plane Geometry: (corresponding to Euclid, Book I-VI) ; Prepared ...

Cora Lenore Williams - Geometry - 1905 - 122 pages
...angles of a triangle are unequal, the greater angle has the greater side opposite to it. Prop. 36. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest; of others, those making equal angles with the perpendicular are equal; and of two others, that which...
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Science Examinations ... Reports, Etc

1906 - 502 pages
...attention of the teachers. The same weakness was shown in the answers to Q. 22. Q. 9. Show that, of all straight lines that can be drawn to a given straight...point outside it, the perpendicular is the shortest. Show that the locus of a point which is equidistant from two fixed points is the perpendicular bisector...
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Calendar

University of Allahabad - 1907 - 528 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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Calendar, Part 1

University of Calcutta - Universities and colleges - 1907 - 458 pages
...converse. Any two sides of a triangle are together greater than the third. Of all the straight tines that can be drawn to a given straight line from a...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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Calendar, Part 1

University of Calcutta - Universities and colleges - 1908 - 516 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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Calendar

University of Allahabad - 1908 - 568 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 irom a given point outside it, the perpendicular is the shortest. The opposite sides and angles of...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...may or may not be congruent. (Miscellaneous Examples.) 8. (i) The perpendicular is the shortest line that can be drawn to a given straight line from a given point. (ii) Obliques which make equal angles with the perpendicular are equal. (iii) Of two obliques the less...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawne to a given straight line from 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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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. 13. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. 14. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. 13. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. 14. The opposite sides and angles of a parallelogram are equal, each diagonal hisects the parallelogram,...
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