 | Euclides - 1855 - 270 pages
...assumed the truth of this proposition, and it seems almost impossible to do otherwise. PROP. IV. THEOREM. If a straight line stand at right angles to each of two straight lines at the point of their intersection, it is at rigid angles to the plane in, which they arc. Let the... | |
 | 1858 - 398 pages
...between its points of contact is a mean proportional between the diameters. BOOK XI. 10. PROP. IV. — If a straight line stand at right angles to each of...right angles to the plane which passes through them, that is, to the plane in which they are. 11. PROP. VIII — If two straight lines be parallel, and... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...between its points of contact is a mean proportional between the diameters. BOOK XI. 10. PROP. IV. — If a straight line stand at right angles to each of...right angles to the plane which passes through them, that is, to the plane in which they are. 11. PROP. VIII — If two straight lines be parallel, and... | |
 | Civil service - 366 pages
...between its .points of contact is a mean proportional between the diameters. BOOE XI. PROP. IV.— If a straight line stand at right angles to each of...right angles to the plane which passes through them, that is to the plane in which they are. PROP. VIII. — If two straight lines he parallel, and one... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...between its points of contact is a mean proportional between the diameters. BOOK XI. 10. PROP. IV. — If a straight line stand at right angles to each of...right angles to the plane which passes through them, that is, to the plane in which they are. 11. PROP. VIII. — If two straight lines be parallel, and... | |
 | Eucleides - 1860 - 396 pages
...If one part of a straight line is above a plane. If a straight line be at right angles to a plane. If a straight line stand at right angles to each of...straight lines, in the point of their intersection. If two straight lines be drawn from a given point either in or above a plane. If two straight lines... | |
 | John Playfair - Geometry - 1860 - 334 pages
...therefore common to the planes AB and BC, or it is the common section of these olanes. PROP. IV. THEOR. B If a straight line stand at right angles to each of two straight lines in tht pnint of their intersection, it will also be at right angles to the plane in which these lines... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...— The truth of this proposition is implicitly assumed in the definitions of this Book. THEOREM III. If a straight line stand at right angles to each of two other straight lines at their point of intersection, it will be at right angles to the plane of those... | |
 | Euclides - 1864 - 448 pages
...AB, BC, cannot but be a straight line. Wherefore, if two planes, &c. QED PROPOSITION IV. THEOREM. // a straight line stand at right angles to each of two straight lines in tlie point of their intersection, it sltall also be at right angles to the plane which passes through... | |
 | Robert Potts - 1865 - 528 pages
...and AFis perpendicular to DE; therefore AFis perpendicular to each of the straight lines GH, DE. But if a straight line stand at right angles to each of...straight lines in the point of their intersection, it is also at right angles to the plane passing through them : (xi. 4.) but the plane passing through... | |
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If a straight line stand at right angles to each of two straight lines at the point of their intersection, it shall also be at right angles to the plane which passes through them, that is, to the plane in which they are. 
