 | Robert Simson - 1806 - عدد الصفحات: 546
...together in one straight line. Wherefore, if a straight line, &c. QED PROP. IX. THEOR. IF a straight line be divided into two equal, and also into two unequal...square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point C into two equal,... | |
 | John Playfair - 1806 - عدد الصفحات: 320
...BC.AC = AB.BCb ; therefore AD2=AC2+ U3.2. 4AB.BC. QED" Book II. PROP. IX. THEOR. IF a straight line be divided into two equal, and also into two unequal...square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point C into two equal,... | |
 | John Mason Good - 1813 - عدد الصفحات: 714
...the straight line which is made up of the whole and that part. Prop. IX. Theor. If a straight line be divided into two equal, and also into two unequal parts; the tqniMN of the two unequal parts arc together double of the square of half the line, and of the square... | |
 | Euclides - 1816 - عدد الصفحات: 588
...Wherefore, if a straight line, &c. QED TIL F ACBT z .... 6 K / P R / PROP. IX. THEOR. IF a straight line be divided into two equal, and also into two unequal...square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point C into two equal,... | |
 | John Playfair - 1819 - عدد الصفحات: 350
...AD2=AC-+4AB.BC. QED" PROP. IX. THEOR. If a straight line be divided into too equal, and also into tzeo unequal parts ; the squares of the two unequal parts...square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point C into two equal,... | |
 | John Playfair - 1819 - عدد الصفحات: 354
...ADs=AC3+4AB.BC. q. ED" PROP. IX. THEOR. 'If /a straight line be divided into two equal, and also into too untquai parts ; the squares of the two unequal parts are together double of the square of half the iinCi ahd of th-e square of the line between the points of section. • » v. Let the straight line... | |
 | Peter Nicholson - 1825 - عدد الصفحات: 1046
...one straight line. ^herefore, if a straight line, &c. QED Proposition IX. Theorem, If a straight line be divided into two equal, and also into two unequal...square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point С into two equal,... | |
 | Euclid, John Playfair - 1826 - عدد الصفحات: 326
...BO+RC.AC=\B.BC (3.2.) and therefore AD3==AC + 4\B.BC. Q, E, D," -V PROP. IX. THEOR. ., If a straight line be divided into two equal, and also into two unequal...square of half the line, and of the square of the line between the points of section. Let the straight line AB he divided at the point C into two equal,... | |
 | George Lees - 1826 - عدد الصفحات: 276
...a straight line AB be divided into two equal parts AC, CB, and also into two unequal parts AD, DB ; the squares of the two unequal parts are together...square of half the line, and of the square of the tine CD, between the points of section. • . ; Or, AD2 + DB2 = 2AC2 .+ 2CD2. From the point C, draw... | |
 | Euclid - 1826 - عدد الصفحات: 234
...PROPOSITION IX. ТНЕОПЕМ. J/1 a rzgAf Kne ie any how cut into two equal and two unequal parts, then the squares of the two unequal parts are, together, double of the square of the half line, and the square of the intermediate part. Let any right line AB be cut into two equal... | |
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IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. 
