| Robert Simson - 1806 - 518 sider
...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 - 311 sider
...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
...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 - 528 sider
...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 - 333 sider
...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 - 317 sider
...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 - 372 sider
...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 - 320 sider
...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
...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 - 180 sider
...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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