 | 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... | |
 | 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... | |
 | 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... | |
 | 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.)... | |
 | Royal college of surgeons of England - 1860 - 332 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... | |
 | 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... | |
 | 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.... | |
 | University of Oxford - Education, Higher - 1863 - 316 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,... | |
 | Euclides - 1864 - 448 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... | |
 | 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... | |
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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. 
