| Robert Simson - 1762 - 488 sider
...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 sider
...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 - 1775 - 534 sider
...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 sider
...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 sider
...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 - 1789 - 296 sider
...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 - 1796 - 334 sider
...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 sider
...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 sider
...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 - 1803 - 470 sider
...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... | |
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