 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...BD is J. to AB. (?) Hence BD and BC coincide. (?) .'. BC lies in MN. (?) Proposition 211 Theorem QED The perpendicular is the shortest line that can be drawn from a point to a plane. Hypothesis. AB is the -l . drawn from A to the plane MN, and AC is any other line... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...~7 may follow the hints for Case I, but / CX I referred to the adjacent figure. /M / 422. Corollary. The perpendicular is the shortest line that can be drawn from a point to a plane. Given (see figure for Case II above) the plane M, and PC the perpendicular to M from... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...b > c. QED REASONS ZB > ZC, by hyp. The base A of an isos. A are equal. ZB > ZC, by hyp. 131. COR. The perpendicular is the shortest line that can be drawn from a point to a given line. (115.) NOTE. The method used in the above proof is known as the indirect method... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...8. Two angles, whose sides are perpendicular, each to each, are either equal, or supplementary. 9. The perpendicular is the shortest line that can be drawn from a point to a line. 10. Two triangles are equal, if the three sides of the one are equal respectively,... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...increase again; and as P moves further and further to the right, 0 P increases without limit. Since the perpendicular is the shortest line that can be drawn from a given point to a given straight line, it is called the distance of the point from the line. Remember... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1864 - 700 pages
...joining their point of intersection is bisected at right angles by the line joining their centres. 3. The perpendicular is the shortest line that can be drawn from a given point to a given straight line ; and of any two oblique lines, that which is nearer to the perpendicular... | |
 | 462 pages
...increase again ; and as P moves further and further to the right, OP increases without limit. Since the perpendicular is the shortest line that can be drawn from a given point to a given straight line, it is called the distance of the point from the line. Remember... | |
 | 348 pages
...increase again; and as P moves further and further to the right, OP increases without limit. Since the perpendicular is the shortest line that can be drawn from a given point to a given straight line, it is called the distance of the point from the line. Remember... | |
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The perpendicular is the shortest line that can be drawn from a point to a straight line. 
