 | Robert Simson - Trigonometry - 1762 - 488 pages
...parallelo-. grams about the diameter of a fquare are likewife fquares. PROP, BooklL PRO PV THEO R. IF a ftraight line be divided into two equal parts, and...with the fquare of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight line AB be divided into two equal... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...into equal and unequal fegments; the re&angle contained by the unequal fegments of the whole line, together with the fquare of the line between the points...fection is equal to the fquare of half the line.. For let any ftraight line AB be cut into equal fegments at the point C i and into unequal fegments... | |
 | Euclid - 1781 - 552 pages
..."|F a ftraight line be divided into two equal parts; I and alfo into two unequal parts ; the rcdangle 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 line AB be divided into two equal... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...ir.anifeft that the parallelograms about the diameter of a fquare are likewife fquares. PRO PV THEO R. IF a ftraight line be divided into two equal parts, and alfo into two unequal parts ; the redlangle contained by the unequal parts, together with the fquare of the line between the points of... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...Consequently the fquaie of a line is four times the fquare of the half of that line. PROP. V! THEOR. IF a ftraight line be divided into two equal parts* and alfo into two unequal parts; the rectanglo contained by the 'unequal parts, together with the fquare of the line between the points... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...likewife fqu»res. ^ LCB H G r * V Book 11. 3' 45. »b 3'. '• . c- 43. '• PROP. V. THE OR. • IF a ftraight line be divided into two equal parts, and...with the fquare of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight line AB be divided into two equal... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...are likewise squares. . PROP. V. THEOR. IF a straight 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, are equal to the square of half the line. Let the... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...are likewise squares. PROP. V. THEOR. IF a straight 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... | |
 | John Mason Good - 1813 - 714 pages
...contained by the parts. Prop. V. Theor. If a straight 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. Prop. VI.... | |
 | Euclides - 1816 - 588 pages
...are likewise squares. PROP. V. THEOR. IF a straight 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... | |
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If a straight 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. 
