| John Mason Good - 1813 - 722 pages
...same side; and likewise the two interior angles upon the same side together equal to two right ansies. **Prop. XXX. Theor. Straight lines which are parallel to the same straight line are** paiallel to one another. Prop. XXXI. Prob. To draw a straight line thruu0h a given point parallel to... | |
| Euclides - 1814 - 558 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 the straight line GHK cut AB, EF, CD; and because GHK cuts the parallel / straight... | |
| Euclides - 1816 - 528 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... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...BGH, GH D are equal to two right angles. Wherefore, if a straight, &c. QED Proposition XXX. Theorem. **Straight lines which are parallel to the same straight line are parallel to one another.** Lei AB, CD be each of them parallel to EF j AB a alto parallel to CD. Let the straight line GHK cut... | |
| George Lees - 1826 - 266 pages
...parallel, and since they do not meet towards L and D, they must meet if produced towards K and C. Cor. 2. **Straight lines which are parallel to the same straight line, are parallel to one another.** Scholium. This proposition suggests an 'easy method of drawing a parallel to a given straight line... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...therefore also BGH, GHD are equal f to two right angles. Wherefore, if a straight line, &c. Q. £. D. **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... | |
| John Playfair - Geometry - 1829 - 186 pages
...the cutting line, and the sum of the two interior angles on the same side equal to two right angles. **Straight lines which are parallel to the same straight line are parallel to one another.** Mutual Equality of Triangles. When the three sides of one triangle are respectively equal to the three... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...С : the straight lines pq, p' q1 produced, shall, each of them, pass through the point C. Because **straight lines which are parallel to the same straight line are parallel to one another** (IV. 6.) VC, which is parallel to PQ, is parallel also to P'Q'. But it has been already shown (2 Cor.... | |
| Euclides - 1834 - 518 pages
...BGH, GHD are equal f to two right angles. Wherefore, if afl Ax. straight line., &c. QED PROPOSITION **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... | |
| Mathematics - 1835 - 684 pages
...in С : the straight lines pq, p'q produced, shall, each of them, pass through the point C. Because **straight lines which are parallel to the same straight line are parallel to one another** (IV. 6.) VC, which is parallel to PQ, is parallel also to P'Q'. But it has been already shown (2 Cor.... | |
| |