| Euclid - 1835 - 540 pages
...exterior angks are equal to four right angles" PROP. XXXIII. THEOR. The straight lines which join the **extremities of two equal and parallel straight lines, towards the same parts, are** also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
| Mathematics - 1835 - 684 pages
...right angles. SECTION 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the **extremities of two equal and parallel straight lines towards the same parts, are** likewise themselves equal and parallel. Let the straight fc -£ lines AD, В С be equal and parallel,... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...bisects the parallelogram. The converse of this, that straight lines which join the extremities of **equal and parallel straight lines towards the same parts, are themselves equal and parallel,** follows, as a matter of course, from this equality of the opposite sides of a parallelogram. 2. If... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...bisects the parallelogram. The converse of this, that straight lines which join the extremities of **equal and parallel straight lines towards the same parts, are themselves equal and parallel,** follows, as a matter of course, from this equality of the opposite sides of a parallelogram. 2. If... | |
| Mathematics - 1836 - 472 pages
...rectilineal figure are to. gether equal to four right angles. XXXIII. The straight lines which join the **extremities of two equal and parallel straight lines, towards the same parts, are** also themselves equal and parallel. XXXIV. The opposite sides and angles of a parallelogram are equal... | |
| George Darley - Euclid's Elements - 1836 - 172 pages
...IV. ART. 19. Right lines which join the adjacent extremities of two equal and parallel right lines **are themselves equal and parallel. Let AB, CD be two equal and parallel** right lines, whose adjacent extremities are joined by the right lines AC, BD. Then AC, BD are also... | |
| John Playfair - Geometry - 1837 - 332 pages
...parallels, and joined towards the same parts by the straight lines BE, CH : But straight lines which join **equal and parallel straight lines towards the .same parts, are themselves equal and parallel** (33. 1.) ; therefore EB, CH are both equal and parallel, and EBCH is a parallelogram ; and it is equal... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. The straight lines which join the **extremities of two equal and parallel straight lines, towards the same parts, are** also themselves equal and parallel. _Let AB, CD, be equal and parallel straight lines, and joined towards... | |
| Robert Simson - Geometry - 1838 - 434 pages
...exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the **extremities of two equal and parallel straight lines, towards the same parts, are** also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
| Euclides - 1838 - 264 pages
...exterior angles are equal to four ri^ht angles. 0 PROP. XXXIII. THEOR. The straight lines which join the **extremities of two equal and parallel straight lines towards the same parts, are** also themselves equal and parallel. Let AH, CD be equal and parallel A t, straight lines, and joined... | |
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