 | John Mason Good - 1813 - 714 pages
...equal to tiro right angles. Prop. XXXIII. Theor. The straight line» which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Prop. XXXIV. Theor. The opposite sides and angles of parallelograms are equal to one another, and the... | |
 | Euclides - 1814 - 560 pages
...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. parallel straight lines, and join- AB Let AB, CD be equal and ed towards ' the same parts by ' " the... | |
 | Euclides - 1816 - 588 pages
...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...Let AB, CD be equal and parallel straight lines, and join- A ed towards the same parts by ' the straight lines AC, BD; AC, BD are also equal and parallel.... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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...and parallel straight lines, and joined towards the sameparts by the straightlines AC, BD; AC, BD are also equal and parallel. Join BC; and because AB... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...four right angles. Propontwn XXXIII. Theorem. The straight lines which join the extremities of two equal and parallel straight lines, towards the same...equal and parallel. Let AB, CD be equal and parallel л _ в. straight lines, and joined towards the '7 .s'\ •ame part« by the straight lines AC, \ ¿r... | |
 | George Lees - 1826 - 276 pages
...of course bisects it. Therefore, &c. QED Cor. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. PROP. XV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equivalent.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...equal to four right angles. PROP. XXXIIL THEOR. The straight lines which join the extremities of IIKO equal and parallel straight lines towards the same...equal and parallel. Let AB, CD be equal and parallel AB straight lines, and joined towards the same parts by the straight lines AC, BD : AC, BD shall be... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. AB Let AB, CD be equal and parallel straight lines, and...meets them, the alternate angles ABC, BCD are equal (29. 1.); and because AB is equal to CD, and BC common to the two triangles ABC, DCB, the two sides... | |
 | John Playfair - Geometry - 1829 - 210 pages
...join their corresponding extremities; then AC, BD are also equal and parallel. Draw the diagonal BC. Because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal (Prop. 29). Because the side AB is equal to CD, and BC is common to the two triangles ABC, DCB, and... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...the same parts [that is to say, not cross-wise, as would be if A were joined with D, and B with C] by the straight lines AC, BD. AC, BD are also equal and parallel. Join BC. Because AB is parallel to CD, and BC meets them, the alternate * J,'29' angles ABC, BCD are* equal.... | |
| |
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 the same parts by the straight... 
