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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 - Σελίδα xxi
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...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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1906 - 502 σελίδες
...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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University of Allahabad - 1907 - 528 σελίδες
...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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University of Calcutta - 1907 - 458 σελίδες
...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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University of Calcutta - 1908 - 516 σελίδες
...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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University of Allahabad - 1908 - 568 σελίδες
...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...

A School Geometry, Μέρη 1-4

Henry Sinclair Hall - 1908 - 286 σελίδες
...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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...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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Great Britain. Board of Education - 1912 - 632 σελίδες
...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,...

Special Reports on Educational Subjects, Τόμοι 26-27

Great Britain. Board of Education - 1912 - 1044 σελίδες
...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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