| 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 - 518 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 - Euclid's Elements - 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 - 518 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... | |
| John Mason Good - 1813 - 722 pages
...III. Theor. If two planes cut one another, their common section is a straight line. Piop. IV. Theor. **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. V. Theor. (f three straight lines meet аЦ in one... | |
| Euclides - 1814 - 558 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** »lso be at right angles to the plane passing through them. But the plane passing through ED, GH, is... | |
| Euclides - 1816 - 528 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 Mason Good - 1819 - 740 pages
...one another, their common section is a straight line. Prop. IV. Theor. If a straight line stand it **right angles to each of two straight lines in the...right angles to the plane which passes through them,** that is, 10 the plane in which they are. Piop. V. Theor. If three straight lines meet i!i in one point,... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...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 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... | |
| 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... | |
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