 | Horatio Nelson Robinson - 1860 - 470 páginas
...angle BFA js the inclination of the line BF to the plane ST. I THEOREM VI. If either of two parallels is perpendicular to a plane, the other is also perpendicular 'to the plane. The two parallels determine a plane which intersects the given plane in AD ; through D draw... | |
 | Benjamin Greenleaf - 1861 - 638 páginas
...their common section, A B. M PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD bo two parallel straight lines, of which AB is perpendicular to the plane MN ; then will... | |
 | Benjamin Greenleaf - 1862 - 518 páginas
...is their common section, AB. PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD be two parallel straight lines, of which AB is perpendicular to the plane MN ; then will... | |
 | Benjamin Greenleaf - 1863 - 504 páginas
...is their common section, AB. PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD be two parallel A straight lil1es, of which AB is perpendicular to the plane MN ; then will... | |
 | Benjamin Greenleaf - 1868 - 340 páginas
...is their common section, A B. PROPOSITION X. — THEOREM. 415. If one of two parallel straight lines is perpendicular to a plane, the other is also perpendicular to the same plane. Let AB, CD be two parallel straight lines, of which AB is perpendicular to the plane 11 N ; then will... | |
 | Edward Brooks - 1868 - 284 páginas
...perpendicular to the line.BZ1; they are, therefore, parallel (BI Th. IV. C.). A Cor. If one of two parallels is perpendicular to a plane, the other is also perpendicular to the same plane. For, since the lines are parallel, they have the same direction; hence, if one is at right angles to... | |
 | Charles Davies - 1870 - 392 páginas
...then, the triangle OBD would have two riglt angles, which is impossible (Bk. I. Th. xvii. Cor. 4). Cor. If two lines are parallel, and one of them is perpendicular to a plane, the other will also be perpendicular to lite same plane. Of Planes. THEOREM VI. If two planes intersect each... | |
 | James Maurice Wilson - 1872 - 160 páginas
...plane is determined by one point, and the normal to the plane at that point. THEOREM 7. If two straight lines are parallel, and one of them is perpendicular to a plane, the other will be also perpendicular to that plane, and conversely. Proof. Let AB, CD be parallel, and let AB... | |
 | Evan Wilhelm Evans - 1884 - 242 páginas
...Therefore, AB is parallel to CD. That is, two straight lines, etc. Cor.— If one of two parallels is perpendicular to a plane, the other is also perpendicular to the plane. Ques. — Can two lines cut a plane at the same angle and not be parallel? E. o.— 11. THEOREM... | |
 | James Maurice Wilson - 1885 - 180 páginas
...the normal to the plane at that point. 1 This proof is due to Legendre. THEOREM 7. If two straight lines are parallel, and one of them is perpendicular to a plane, the other will be also perpendicular to that plane, and conversely '. Let AB, CD be parallel straight lines,... | |
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If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. 
