| Great Britain. Admiralty - 1846
...but L EGB + Z. BGH =s 2 rt. = 2rt. Wherefore, if a straight line, &c. PROP. XXIX. THEOR. 30. 1 Ea. **Straight lines which are parallel to the same straight line, are parallel to** each other. Let AB, CD, be each II EF; then shall AB || CD. E y -F A -;/ 11 c—yp D Let str. line... | |
| Reynell Coates - 1846 - 402 páginas
...from each other throughout their whole length, — they are said to be parallel to each other, and all **straight lines which are parallel to the same straight line are parallel to** each other. 48. It is evident that a straight line may be parallel to a plane. Thus the lines running... | |
| Euclides - 1847
...not || ; .'. they will meet, if produced, towards B and D. — QED PROP. XXX. THEOR. GEN. ENUN. — **Straight lines, which are parallel to the same straight line, are parallel to one another.** PART. ENUN. — Let AB, CD be both || to EF ; then AB is || to CD. / CONST. — Let the st. line A... | |
| Great Britain. Council on Education - 1848
...GEOMETRY, TRIGONOMETRY, AND MENSURATION. (Que Question only to be answered in each Section.) Section 1. 1. **Straight lines which are parallel to the same straight line are parallel to one another.** 2. If two triangles have two sides qf the one equal to two sides of the other, each to each, but the... | |
| Euclides - 1848
...the two interior angles upon the same side together equal to two right angles. PROP. XXX. THEOREM. **Straight lines which are parallel to the same straight line are parallel to** each other. PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given... | |
| Euclides, Thomas Tate - 1849 - 108 páginas
...angles; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight line, &c. QED **PROP. XXX. THEOR. Straight lines which are parallel to the same straight line** parallel to one another. Let AB, CD be each of them parallel to EF; AB is also parallel to CD. Let... | |
| University of Durham - 1851
...from those by which he convinced the Jews ? IX. EUCLID. 1 . To bisect a given finite straight line. 2. **Straight lines which are parallel to the same straight line are parallel to** each other. 3. Equal triangles upon the same base and upon the same side of it are between the same... | |
| 1867
...greater than either of the interior opposite angles. Is this Theorem or Problem P Why ? 5. titraiyht **lines, which are parallel to the same straight line, are parallel to** each other. 6. Describe a square upon a given straight line. What corollary follows from this problem... | |
| Euclides - 1852
...right angles; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight, &c. QED **PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to** each other. Let AB, CD be each of them parallel to EF; AB is also parallel to CD. Let the straight... | |
| Royal Military Academy, Woolwich - 1853
...BGH, GHD are equal (1 Ax.) to two right angles. Wherefore, if a straight line, etc. QE o. PROPOSITION **XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to** each oiher. Let AB, CD be each of them parallel to EF ; AB is also parallel to CD. Let the straight... | |
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