 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.  Calendar - Seite 172von University of Allahabad - 1909Vollansicht - Über dieses Buch
 | Alpheus Crosby - 1847 - 190 Seiten
...side of AD be equal to each other ? Can, then, three equal lines be drawn from A to BC? COR. I. Of the straight lines that can be drawn to a given straight line from a point without, — (1.) no three can be equal; and (2.) any two that are equal must be upon opposite... | |
 | Alpheus Crosby - 1847 - 190 Seiten
...side of AD be equal to each other ? Can, then, three equal lines be drawn from A to BC ? COR. I. Of the straight lines that can be drawn to a given straight line f rum a point without, — (1.) no three can be equal; and (2.) any two that are equal must be upon... | |
 | Euclides - 1862 - 140 Seiten
...bisected, the bisecting lines contain a right angle. Prop. 16 to 26. 13. Prove that only one perpendicular can be drawn to a given straight line, from a given point, either within or without it. 14. Prove I. 17, without producing any side. 15. Prove I. 18, by cutting... | |
 | James Maurice Wilson - 1872 - 160 Seiten
...it in the plane AOB1 ; and therefore (by Def. 2) to every straight line in the plane A OB. CoR. 1. Of all the straight lines that can be drawn to a given plane from a given point, the shortest is the perpendicular; and of the others those whose extremities... | |
 | Euclides - 1874 - 342 Seiten
...to two right angles, these two straight lines are parallels. 20. Prove that only one perpendicular can be drawn to a given straight line, from a given point, either within or without it. 21. From the vertex of a scalene triangle draw a right line to the base,... | |
 | Francis Cuthbertson - 1874 - 400 Seiten
...and having an angle = a given angle. SUPPLEMENT TO BOOK I. THEOREM (a). Of all straight lines which can be drawn to a given straight line from a given point without it, that which is nearer to the perpendicular is less than the more remote; also to every straight... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 Seiten
...given point outside a given straight line, only one perpendicular can be drawn to that line. THEOR. 19. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest ; and of the others, those which make equal angles with the perpendicular are equal ; and that which... | |
 | 1881 - 504 Seiten
...angles. Determine from the above the size of the angles in a regular pentagon, decagon, and dodecagon. 2. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest ; and of the others, those which make equal angles with the perpendicular are equal ; and that which... | |
 | Mathematical association - 1883 - 86 Seiten
...given straight line, only one perpendicular can be drawn to that line. THEOR. 11. If two sides of a triangle are unequal, the greater side has the greater angle opposite to it THEOR. 12. If two angles of a triangle are unequal, the greater angle has the greater side opposite... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 Seiten
...joining the vertex to any point in the base, and using Theor. 9 twice. THEOR. 11. If two sides of a triangle are unequal, the greater side has the greater angle opposite to it. Let ABC be a triangle having the side AB greater than the side AC : then shall the angle ACB be greater... | |
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