 | Charles William Hackley - Geometry - 1847 - 248 pages
...to a plane must be measured by a perpendicular drawn from that point to the plane, because this is the shortest line that can be drawn from the point to the plane. PROP. VIII. If, from a given point without a plane, a perpendicular be let fall to the plane,... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...point to a plane must be measured by a perpendicular drawn from the point to the plane, because this is the shortest line that can be drawn from the point to the plane. PROPOSITION vn. Let PQ be a perpendicular on the plane XZ, and GH a straight line in that plane... | |
 | Bernard Marks - Geometry - 1871 - 172 pages
...the point c to the straight line A u ? THEOREMS ILLUSTRATED. C DEMONSTRATION. We wish to prove that A perpendicular is the shortest distance from a point...other, the side FE common, and the included angle FE c of the one equal to the included angle FED of the other, they are therefore equal, and the side... | |
 | John Reynell Morell - Geometry - 1871 - 156 pages
...fram one point to a plane is the perpendicular drawn from the said point to a plane, because it is the shortest line that can be drawn from the point to the given plane. Casel. The perpendicular to two others that cut each other at its foot in a planc is perpendicular... | |
 | B. Marks - 1875 - 176 pages
...may we now say of the perpendicular from the point c to the straight line AB? THEOREMS ILLUSTRATED. 0 DEMONSTRATION. We wish to prove that 143 A perpendicular...other, the side FE common, and the included angle FE c of the one equal to the included angle FED of the other, they are therefore equal, and the side... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...bisected, will be equal (I. 14). 3. If a point be taken without a given straight line, the perpendicular is the shortest line that can be drawn from the point to the line (I. 19), (I. 21). 4. The diagonal of a rhombus bisects its angles (I. 4). 5. The four sides of any... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...without a plane, one perpendicular to the plane can be drawn, and but one; and the perpendicular is the shortest line that can be drawn from the point to the plane. Let A be the given point, and MN the plane. Consider the various lines that can be drawn from... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 332 pages
...without a plane one perpendicular to the plane can be drawn, and but one ; and the perpendicular is the shortest line that can be drawn from the point to the plane. Corollary. At a given point in a plane one perpendicular can be erected to the plane, and but... | |
 | 1891 - 718 pages
...line perpendicular to a given plane from a given point without it. Show that this perpendicular is the shortest line that can be drawn from the point to the plane. 5. Solve the simultaneous equations 2.x* + xy + f - 2?} " rr 'If then ac + ce + ea _ a2 + e2... | |
 | William Chauvenet - 1893 - 340 pages
...without a plane one perpendicular to the plane can be drawn, and but one ; and the perpendicular is the shortest line that can be drawn from the point to the plane. Corollary. At a given point in a plane one perpendicular can be erected to the plane, and but... | |
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A perpendicular is the shortest distance from a point to a straight line. Let AB be a straight line, and ca point out of it; then will the perpendicular c E be the shortest line that can be drawn from the point to the line. For draw any other line from... 