| Cambridge (England) - 1804 - 476 pages
...both by vulgar fractions and by decimals. 2. ^Prove that if a straight line stand at right arfgles **to each of two straight lines in the point of their intersection, it** will be at right angles to the plane that passes through them. 3. Define a rhombus; and prove that... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...planes AB, BC cannot but be a straight line. Wherefore, if two planes, &c. QED PROP. IV. THEOR. SeeN. **IF a straight line stand at right angles to each of...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 they are. Let the... | |
| John Playfair - Mathematics - 1806 - 320 pages
...is the common section of these planes. Therefore, if two planes, &c. QED A PROP. IV. THEOR. a 2. 6. **IF a straight line stand at right angles to each of...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... | |
| Euclid - Geometry - 1810 - 554 pages
...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...intersection, it shall also be at right angles to the plane** passing through them. But the plane passing through ED, GH is the plane BH; therefore AF is perpendicular... | |
| Euclides - 1814 - 560 pages
...DE: Therefore AF is perpendicular to each of the straight Hues GH, DC. But if a straight line stands **at right angles to each of two straight lines in the point of their intersection, it shall** ğlso be at right angles to the plane passing through them. But the plane passing through ED, GH, is... | |
| Euclides - 1816 - 588 pages
...DE : 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...intersection, it shall also be at right angles to the plane** passing through them. But the plane passing through ED, GH, is the plane BH i therefore AF is perpendicular... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...common to the planes AB and BC, or it is the common section of these planes. Therefore, &c. Q,. ED **PROP. IV. THEOR. If a straight line stand at right...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... | |
| John Playfair - 1819 - 354 pages
...common to the plnnes AB and BC, or v it is the common section of these planes. Therefore, &c. Q,. ED **PROP. IV. THEOR. If a straight line stand at right angles to each of** too straight lines in the point of their intersection, it will also be at right angles to the plane... | |
| Mathematics - 1821 - 464 pages
...yards cost £2%, find the value of 5-f yards lx>th by vulgar fractions and by decimals. 2. Prove that **if a straight line stand at right angles to each of...straight lines in the point of their intersection, it** will be at right angles to the plane that passes through them. 3. Define a rhombus; and prove that... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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, GH, is the plane BH ; therefore AF is perpendicular... | |
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