| Euclides - 1845 - 546 pages
...them : (xi. 4.) and EF is parallel to AB therefore AB is at right angles to the plane HGK. (xi. 8.) **For the same reason, CD is likewise at right angles...to the same plane, they are parallel to one another** : (xi. 6.) therefore AB is parallel to CD. Wherefore, two straight lines, &c. QED PROPOSITION X. THEOREM.... | |
| Euclid - Geometry - 1845 - 218 pages
...through them: and t s. 11. EF is parallel to AB ; therefore AB is at right angles f to the plane HGK : **For the same reason, CD is likewise at right angles...plane HGK. But if two straight lines are at right** i <;. 11. angles to the same plane, they shall be parallelJ to one another; therefore AB is parallel... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...sam« plane. Therefore, if three straight lines, eSzc. PROP. VI. THEOR. — If two straight lines be **at right angles to the same plane, they are parallel to one another.** Let the straight lines AB, CD be at right angles to the same plane BDE ; AB is parallel to CD. Let... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...and EF is parallel to AB ; therefore AB is at right angles (7. 2. Sup.) to the plane — — .° HGK. **For the same reason, CD is likewise at right angles to the plane HGK. Therefore AB, CD** _ \ •_ are each of them at right angles / ^ to the plane HGK. But if two / straight lines are at... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...them : and EF is parallel to AB ; therefore AB is at right „ angles (7. 2. Sup.) to the plane HGK. **For the same reason, CD is likewise at right angles...lines are at right angles to the same plane, they are** paralK. -D lei (6. 2. Sup.) to one another. Therefore AB is parallel to CD. PROP. IX. THEOR. If two... | |
| Bengal council of educ - 1852 - 348 pages
...base double of the third angle : and deduce the expression for sin 36°. 3. If two straight lines be **at right angles to the same plane they are parallel to one another.** 4. Chords of a circle pass through the middle point of a fixed chord, prove that the straight line... | |
| Euclid, John Playfair - Geometry - 1853 - 336 pages
...through them : and EF is parallel to AB ; therefore AB is at right angles (7. 2. Sup.) to the plane HGK. **For the same reason, CD is likewise at right angles...Therefore AB, CD are each of them at right angles** H to the plane HGK. But if two straight lines are at right angles to the same plane, they are paralK.... | |
| Euclides - 1855 - 230 pages
...therefore AB is at right angles to the plane HGK (c): for the H 0) 1.11. (6) XI. 4. (c) XI. 8. (rf) XI. 6. **same reason, CD is likewise at right angles to the...to the same plane, they are parallel to one another** (d); therefore AB is parallel to CD. PROPOSITION X. THEOREM.—If two straight lines (AB, BC) meeting... | |
| Euclides - 1855 - 270 pages
...8) to the piano HGK. For the same reason, CD is at right angles to the plane HGK. Therefore AB Mid **CD are each of them at right angles to the plane HGK.** B«t if two straight lines are at right angles to the same piano, they are parallel (XL 6). Therefore... | |
| Eucleides - 1860 - 396 pages
...through them (b) : and EF is parallel to AB ; therefore AB is at right angles to the plane HGK (c) : **for the same reason, CD is likewise at right angles...to the same plane, they are parallel to one another** (d) ; therefore AB is parallel to CD. (a) 1. 11. (6) XI. 4. O) XI. 8. .0.. PROPOSITION X. THEOREM.... | |
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