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 ## Elements of Geometry: Containing the First Six Books of Euclid with a ...

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 line GHK cut... ## The Popular Educator, Volume 5

1856 - 428 pages
...the straight line в с is parallel to the straight line g. 30. AK. -v/ PBOPOSITION XXX— THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. In fig. 30, let the straight lines А в and с D be each of them parallel to в F. Then... ## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...sides of the one shall be equal to the angle contained bv the two sides equal to them of the other. 2. Straight lines which are parallel to the same straight line are parallel to each other. 3. If a straight line be bisected and produced to any point, the rectangle contained by... ## The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...proposition. 3. If two straight lines cut one another, the vertical or opposite angles shall be equal. 4. Straight lines which are parallel to the same straight line are parallel to one another. 5. If a straight line be bisected and produced to any point the rectangle contained by the whole line... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...angles on the same side are together equal to two right angles. fT-'ii PROPOSITION XXX. THEOREM. ,^ Straight lines which are parallel to the same straight line are parallel to one another. Given that AB and CD are each of them parallel to EF ; to prove that AB is also parallel to CD. (Const.)... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 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 ta each other, Let the straight lines AB, CD, be each of them parallel to EF. Then shall AB be also... ## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...anglea (ax. 1.) Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 30.— THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. (References— Prop. I. 27, 29; ax. 1.) Hypothesis. — Let AB, CD, be each of them parallel to EF.... ## Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...given point in a given straight line make a rectilineal angle equal to a given rectilineal angle. 5. Straight lines which are parallel to the same straight line are parallel to each other. 6. If a parallelogram and a triangle be on the same base and between the same parallels,... ## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 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... 