 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 - Physics - 1846 - 692 pages
...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 - 128 pages
...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 - Education - 1848 - 596 pages
...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 - 52 pages
...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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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 - Education, Higher - 1851 - 222 pages
...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 - 336 pages
...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 - 152 pages
...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 - Mathematics - 1853 - 400 pages
...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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Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. 
