 | 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... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...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... | |
 | 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 equal...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,... | |
 | Euclid - 1835 - 540 pages
...angles ; therefore, " all the exterior angks are equal to four right angles" PROP. XXXIII. THEOR. The 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 towards... | |
 | Mathematics - 1836 - 488 pages
...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 equal...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 - 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... | |
 | 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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. The 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 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... | |
 | John Playfair - Euclid's Elements - 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... | |
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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. 
