 | Robert Simson - Trigonometry - 1775 - 534 pages
...arc likcwife fquares. PROP. PRO PV THEO R. Fa ftraight line be divided into two equal parts, and alfo into two unequal parts; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection, is equal to the fquare of half the line. Let the... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...likewife fquares. PROP. V. THEOR. TF a ftraight line be divided into two equal parts, and ,*• and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection,is equal to the fquare of half the line. Let the ftraight... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...ftraight line, &c. Q_ ED PRO PV THEO R. IF a ftraight line be divided into two equal parts, and alio into two unequal parts-, the rectangle contained by the unequal parts, together with the fquare of the line between the points of feclion, is equal to the Iquaie of half the line. Let the... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...likewife fqusres. • PROP. V. THE OR. IF a ftraight line be divided into two equal parts, and alfo into two unequal parts; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...are likewife fquares. PROP. V. THEO R. IF a ftraight line be divided into two'equal parts, and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection, is equal to the fquare of half the line. Let the... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...the paralJelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into...straight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square... | |
 | Euclid - Geometry - 1810 - 554 pages
...the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into...straight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D; the rectangle AD, DB, together with the square... | |
 | John Mason Good - 1813 - 714 pages
...two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts, and also into...section, is equal to the square of half the line. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line,... | |
 | Euclides - 1814 - 560 pages
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. / IF a straight line be divided into two equal parts, and also into...straight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...rectangle or product a+xa—x= aa—xx; to each of these equals add xx, and a+xa—x+xx=aa, that b, the rectangle contained by the unequal parts, together with the square of (x) the line between the points of section is equal to the square of (a) half the line. QED In the... | |
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line be divided into two equal parts* and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section., is equal to the square of half the line. Let the straight line AB... 
