| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...MN. QED Note. — The Propositions which follow are numbered as in Euclid. PROPOSITION IV. THEOREM. **If a straight line stand at right angles to each of two straight lines,** at the point of their intersection, it must also be at right angles to the plane that passes through... | |
| Euclides - 1874 - 342 pages
...AB and BC, must be in a straight line. Wherefore, if two planes, &c. QED PROPOSITION 4. — Theorem. **If a straight line stand at right angles to each of two straight lines** at. the point of their intersection, it is at right angles to the plane in which they are. Let the... | |
| Robert Potts - Geometry - 1876 - 446 pages
...and AFis perpendicular to DE; therefore AFis perpendicular to each of the straight lines GH, DE. But **if a straight line stand at right angles to each of...straight lines in the point of their intersection, it** is also at right angles to the plane passing through them : (xi. 4.) but the plane passing through... | |
| Sir George Greenhill - Mathematics - 1876 - 318 pages
...perpendiculars from B and D on FA are equal, and therefore FA bisects BD, and its parallel CE. •vi. **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... | |
| James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...0, ED Note. — The Propositions which follow are numbered as in iluolid. PROPOSITION IV. THEOREM. **If a straight line stand at right angles to each of two** i lines, at the point of their intersection, it must also be at right angles to the plane that passes... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...sides, find the area of the polygon, and hence prove that Trr2 is the area of a circle of radius r. 1. **If a straight line stand at right angles to each of two straight lines** at the point of their intersection, it shall be at right angles to the plane which passes through them.... | |
| Oxford univ, local exams - 1880 - 396 pages
...figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. 12. **If a straight line stand at right angles to each of two straight lines** at their point of intersection, it shall also be at right angles to the plane which passes through... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...planes AB and BC cannot but be a straight line. Wherefore, if two planes &c. QED PROPOSITION 4. THEOREM. **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... | |
| Education, Higher - 1882 - 498 pages
...the base to the sum of the sides, the point of division is the centre of the inscribed circle. 16. **If a straight line stand at right angles to each of two straight lines** at their point of intersection, it shall also be at right angles to the plane which passes through... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...planes AB and BC cannot but be a straight line. Wherefore, if two planes &c. QKD PROPOSITION 4. THEOREM. **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... | |
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