 | Robert Simson - Trigonometry - 1762 - 488 pages
...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 - Geometry - 1765 - 492 pages
...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. PROP. IV. THEOR.... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...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 - Geometry - 1776 - 326 pages
...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 - 1781 - 552 pages
...III. THEOR. tF a fbaight line be divided into any two parts, thd *. rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the fquare of the forefaid part. T> ° Let the ftraight line AB be divided into any two parts in the point... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...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 divided... | |
 | William Trail - Algebra - 1796 - 334 pages
...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 - Trigonometry - 1799 - 374 pages
...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 pages
...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... | |
 | John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...fquare of AB. QED PROP. X. THEOREM. If a right line be divided into any two parts, the re6langle of the whole line and one of the parts, is equal to the reftangle of the two parts, together 'with the fquare of the aforefaid part. Let the right line AB... | |
| |
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... 
