 | Euclides - 1855
...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
...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 R. PERKINS - 1856
...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
...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
...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 - 234 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... | |
 | Civil service
...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
...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... | |
 | Eucleides - 1860
...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 - 1860 - 443 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... | |
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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. 
