 If from the foot of a perpendicular to a plane a straight line is drawn at right angles to any line of the plane, and its intersection with that line is joined to any point of the perpendicular, this last line will be perpendicular to the line of the...  Plane and Spherical Trigonometry - Pàgina 155per James Morford Taylor - 1905 - 234 pàginesVisualització completa - Sobre aquest llibre
 | Adrien Marie Legendre - 1852 - 436 pàgines
...line be drawn at right angles to any line of a plane, and the point of intersection be joined with any point of the. perpendicular, this last line will be perpendicular to. the line of the plane. Let AP be perpendicular to the plane NM, and PD perpendicular to BG ; join D with any point of the... | |
 | Charles Davies - 1854 - 436 pàgines
...line be drawn at right angles to any line of a plane, and the point of intersection be joined with any point of the perpendicular, this last line will be perpendicular to the line of the plane. Let AP be perpendicular to the plane NM, and PD perpendicular to BC •; join D with any point of the... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 pàgines
...line be drawn at right angles to any line of a plane, and the point of intersection be joined with any point of the perpendicular, this last line will be perpendicular to the line of the plane. Let AP be perpendicular to the plaue NM, and PD perpendicular to BC; join D with any point of the perpendicular,... | |
 | Benjamin Greenleaf - 1862 - 532 pàgines
...angles to any straight line of the plane, and a straight line be drawn from the point of intersection to any point of the perpendicular, this last line will be perpendicular to the line of the plane. Let AB be perpendicular to the plane MN, and BD a straight line drawn through B, cutting at right angles... | |
 | Benjamin Greenleaf - 1862 - 518 pàgines
...angles to any straight line of the plane, and a straight line be drawn from the point of intersection to any point of the perpendicular, this last line will be perpendicular to the line of the plane. Let AB be perpendicular to the plane MN, and BD a straight line drawn through B, cutting at right angles... | |
 | Benjamin Greenleaf - 1863 - 504 pàgines
...angles to any straight line of the plane, and a straight line be drawn from the point of intersection to any point of the perpendicular, this last line will be perpendicular to the line of the plane. Let AB be perpendicular to the plane MN, and BD a straight line drawn through B, cutting at right angles... | |
 | Benjamin Greenleaf - 1868 - 340 pàgines
...angles to any straight line of the plane, and a straight line be drawn from the point of intersection to any point of the perpendicular, this last line will be perpendicular to the line of the plane. Let AB he perpendicular to the plane MN, and BD a straight line drawn through B, cutting at right angles... | |
 | William Chauvenet - 1871 - 380 pàgines
...and it is evident that there canbe but one such perpendicular plane. PROPOSITION VI.— THEOREM. 17. If from the foot of a perpendicular to a plane a straight...line will be perpendicular to the line of the plane. Let AP be perpendicular to the plane MN; from its foot P let PD be drawn at right angles to any line... | |
 | William Chauvenet - 1871 - 380 pàgines
...is evident that there can be but one such perpendicular plane. PROPOSITION VI.— THEOREM. /\ ^'17. If from the foot of a perpendicular to a plane a straight...to any point of the perpendicular, this last line ivill be perpendicular to the line of the plane. Let AP be perpendicular to the plane MN; from its... | |
 | Adrien Marie Legendre - 1871 - 490 pàgines
...The inclination of AE is less than the inclination of any shorter line AB. PROPOSITION VI. THEOREM. If from the foot of a perpendicular to a plane, a straight line be drawn at right angles to any straight line of that plane, and the point of intersection be joined... | |
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