Books Books Straight lines which are parallel to the same straight line are parallel to one another. Mathematics in the Lower and Middle Commercial and Industrial Schools of ... - Page 17
by Edson Homer Taylor - 1915 - 96 pages ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...and the two internal angles on the same side together equal to two right angles. PROP. XXX. THEOR. Straight lines which are parallel to the same straight line, are parallel to one another. A c/ B ci/ PROP. XXXI. PROB. From a given point to draw a straight line parallel to a given straight... ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...GHD are * 1 Ax. also 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 shall be parallel to CD. Let the straight... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 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 line GHK cut... ## Chambers's Information for the People, Volume 2

...has ever yet fully succeeded in effecting the required demonstration. The 30th proposition shows that straight lines which are parallel to the same straight line are parallel to one another. The following demonstration of this fact is founded upon the truths previously advanced in the 29th... ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...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 are parallel to each other. Let AB, CD be each of them parallel to EF; AB is also parallel to c D. Let the straight... ## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...same has been proved (I. 30) respecting straight lines in the same plane : therefore, universally, straight lines which are parallel to the same straight line, are parallel to one another. PROP. X. THEOR. — If two straight lines meeting one another, be parallel to two others that meet... ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...equal to two right angles, (ax. 1.) Wherefore, if a straight line, &c. QED PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. Let the straight lines AB, CD be each of them parallel to EF . Then shall AB be also parallel... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 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 line GHK cut... ## First Lines of Natural Philosophy, Divested of Mathematical Formulae: Being ...

Reynell Coates - Physics - 1846 - 690 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... 