| 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... | |
| |