 | Euclides - 1855 - 270 σελίδες
...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 straight... | |
 | Euclides - 1855 - 230 σελίδες
...AF is perpendicular to DE; therefore AF is perpendicular to each of the straight lines GH, DE. But if a straight line stand at right angles to each of two straight lines in the point of their intersection, it is also at right angles to the plane passing through them (d):... | |
 | George Roberts Perkins - 1856 - 460 σελίδες
...intersection of the two planes is in a straight line. THEOREM Iv. If a straight line is perpendicular to each of two straight lines at their point of intersection^ it is perpendicular to the plane of these lines. Let AP be perpendicular to the two lines PB, PC, at their... | |
 | 1858 - 398 σελίδες
...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 two straight lines in the point of their intersection, it shall also be at right angles to the plane which passes through... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...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 two straight lines in the point of their intersection, it shall also be at right angles to the plane which passes through... | |
 | Elias Loomis - 1858 - 256 σελίδες
...common section. Hence, if two planes, &c. PROPOSITION IV. THEOREM. If a straight line be perpendicular to each of two straight lines at their point of intersection, it will be perpendicular to the plane in which these lines are. Let the straight line AB be perpendicular to... | |
 | Eucleides - 1860 - 396 σελίδες
...AF is perpendicular to DE ; therefore AF is perpendicular to each of the straight lines GH, DE. But if a straight line stand at right angles to each of two straight lines in the point of their intersection, it is also at right angles to the plane passing through them (d)... | |
 | Civil service - 366 σελίδες
...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 two straight lines in the point of their intersection, it shall also be at right angles to the plane which passes through... | |
 | Joseph Charles Parkinson - 1860 - 154 σελίδες
...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 two straight lines in the point of their intersection, it shall also be at right angles to the plane which passes through... | |
 | Horatio Nelson Robinson - 1860 - 470 σελίδες
...— 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... | |
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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. 
