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 ... - Page 110by Association for the improvement of geometrical teaching - 1884Full view - About this book
| 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.... | |
| 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 - 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... | |
| 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... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...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 - Euclid's Elements - 1806 - 320 pages
...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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