 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...exterior and interior angles ; and EGB, CHF, or AGE, DHF, the alternate exterior angles. PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to one another. Let AB, CD, be each of them parallel to EF ; AB is also parallel to CD. Let the straight... | |
 | 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... | |
 | 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 straight line.... | |
 | 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... | |
 | 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 parallels.... | |
 | 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 P ALGERRA.... | |
 | Euclides - 1852 - 152 pages
...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 line GHK cut... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 line... | |
 | Euclides - Geometry - 1853 - 176 pages
...to two right angles. Wherefore, if a straight line, &c. QED PROPOSITION XXX. — THEOREM. Straiglit lines which are parallel to the same straight line are parallel to each other. LET ab, Сd be each of them parallel to ef ; ab is also parallel to Сd. Let the straight line ghk... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...CHF, or AGE, DHF, the alternate exterior angles. ^ PROP. XXX. THEOR. - / j' *V •- VJ - ' * raight lines which are parallel to the same straight line are parallel to one another. 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. 
