 | Pierce Morton - Geometry - 1830 - 584 pages
...angles. SECTIOX 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the extremitie» of two equal and parallel straight lines towards the same parts, are likewise themselves equal and parallel. Let the straight lines AD, 13 С be equal -and parallel, and... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. / T/ie straight lines which join the extremities of two equal...parallel straight lines, towards the same parts, are also themselves equal and parallel. \ Let AB, CD, be equal and parallel straight lines, and joined... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...And by parity of reasoning, the like may be proved in every other instance. Wherefore, universally, the straight lines which join the extremities of two equal and parallel straight lines, &c. Which was to be demonstrated. PROPOSITION XXXIV bis. ., THEOREM.— Every quadrilateral rectilinear... | |
 | Euclid - 1835 - 540 pages
...right angles ; therefore, " all the exterior angks are equal to four right angles" PROP. XXXIII. THEOR. The straight lines which join the extremities of two...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
...quadrilateral are together equal to four right angles. SECTION 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the extremities of two...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,... | |
 | Mathematics - 1836 - 488 pages
...All the exterior angles of any rectilineal figure are to. gether equal to four right angles. XXXIII. The straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. XXXIV. The opposite sides and angles of a parallelogram are equal... | |
 | 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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities...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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...bisection of a right angle, such as the half, the fourth, the eighth, of a righi angle, and so on. D THE straight lines which join the extremities of two...equal and parallel straight lines, towards the same parts,8 are also themselves equal and parallel. Let AB, CO be equal and parallel straight lines, and... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
