 | John Playfair - 1806 - Страниц: 320
...Therefore, if two planes, &c. QED A PROP. IV. THEOR. a 2. 6. IF a straight line stand at right angles to each of two straight lines in the point of their intersection, it will also be at right angles to the plane in which these lines are. Let the straight line AB stand at right... | |
 | Robert Simson - 1806 - Страниц: 546
...line. Wherefore, if two planes, &c. QED PROP. IV. THEOR. SeeN. 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 ri^ht angles to the plane which passes through them, that is, to the plane in which... | |
 | John Mason Good - 1813 - Страниц: 714
...their common section is a straight line. Piop. IV. Theor. 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 them, that is, to> the plane in which... | |
 | Euclides - 1816 - Страниц: 588
...ThereforeAFis perpendicular to each of the straight lines GH, DE. But if a straight line stands 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 passing through them. But the plane passing through ED,... | |
 | John Playfair - 1819 - Страниц: 350
...section of these planes. Therefore, &c. Q,. ED PROP. IV. THEOR. If a straight line stand at right angles to each of two straight lines in the point of their intersection^ it will also be at right angles to the plane in which these lines are. Let the straight line AB stand at right... | |
 | John Playfair - 1819 - Страниц: 354
...perpendicular to each of the straight lines GH, DE. But if* a straight line stands 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 (4. 2. Sob.). And the plane passing through... | |
 | 1821 - Страниц: 464
...yards lx>th by vulgar fractions and by decimals. 2. Prove that if a straight line stand at right angles to each of two straight lines in the point of their...that the diagonals of a rhombus bisect each other at right angles. 4. If (a) be the first term, and (i) the sum of three terms of a geometric progression,... | |
 | Peter Nicholson - 1825 - Страниц: 1046
...if perpendicular to each of the straight lines GH, DE. But if a straight line stands at right anglei to each of two straight lines in the point of their intersection, it shall also be at right angles to the plane passing through them. But the plane passing through ED,... | |
 | Robert Simson - 1827 - Страниц: 546
...Wherefore, if two planes, &c. Q. E, D. PROP. IV. THEOR. See N. 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 them, that is, to the plane in which... | |
 | Euclid - 1835 - Страниц: 540
...Wherefore, " if two planes" &c. QED L. 'A PROP. IV. THEOR. See N. If a straight line stand at right angles to each of two straight lines in the point of their intersection, if shall also be at right angles to the plane which passes through them, that is, to the plane in which... | |
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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 : (xi. 
