 Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that...  The elements of plane geometry - Pàgina 110per Mathematical association - 1884Visualització completa - Sobre aquest llibre
 | Robert Simson - 1762 - 488 pàgines
...ftraight line, &c, Q^ED PROP. VIII. THEOR; TF a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
 | Euclid - 1765 - 492 pàgines
...fquare of B c. If therefore a right line be divided into any two parts, the rectangle contained under the whole line and one of the parts, is equal to the rectangle contained under the parts, and the fquare of the part afordaid. Which was to be demonftrated.... | |
 | Robert Simson - 1775 - 534 pàgines
...Q._E. D. cCof.4.t. E PROP. VIII. THEO K. TF a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
 | Euclid - 1776 - 326 pàgines
...the fquare AE. Wherefore, &c. PROP. III. THEO -R. IF a right line be any how cut, the reElangle under the whole line, and one of the parts, is equal to the reclangle under the two parts, together with the fquare oftbefirft mentioned part. Let the right line... | |
 | Euclid - 1789 - 296 pàgines
...fquare of AB. Qj ED PROP. X. THEOREM. If a right line be divided into any two parts, the rectangle of the whole line and one of the parts, is equal to the rectangle of the two parts, together with the fquare of the aforefaid part. Let the right line AB be... | |
 | William Trail - 1796 - 334 pàgines
...place of that conftruction. PROP. PROP. I. To divide a given Jlraight line AB into two parts, fo that the rectangle contained by the -whole line, and one of the parts, may be equal to thefquare of the other part. This is Prop. i ith II. B. of Euclid. e ~-~ ACB Let C... | |
 | Alexander Ingram - 1799 - 374 pàgines
...34- 1• bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the Iquare of the other part, is equal to the fquare of the ftraight line which is made... | |
 | John Bonnycastle - 1803 - 306 pàgines
...AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line into two parts, fo that the rectangle contained by the whole line and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given right line ; it is required to... | |
 | Robert Simson - 1804 - 530 pàgines
...ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
 | John Playfair - 1806 - 320 pàgines
...the lines." ,, PROP. VIII. THEOR. .• IF a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square of the other part, are equal to the square of the straight line which is made... | |
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