 | John Keill - Logarithms - 1723 - 444 pages
...contained under AC and CB. But HF, CK, AG, GE, make up the whole Square of AB, •viz. ADEB. Therefore the Square of AB is equal to the Squares of AC, CB, together with twice the Rectangle contained under AC, C B. Wherefore, if a. Right Line be -any how... | |
 | Robert Simson - Trigonometry - 1762 - 488 pages
...a ftraight line be divided into any two parts, the fquare of the whole line is equal to the fquafes of the two parts, together with twice the rectangle contained by the parts. Let the ftraight line AB be divided into any two parts in C; the fquare of AB is equal to the fquares of AC,... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...a ftraight line be divided into any two parts, the fquare of the whole line is equal to the fquares of the two parts, together with twice the rectangle contained by the parts. Let the ftraight line AB be divided into any two parts in C; e fquare of AB is equal to the fquares of AC,... | |
 | Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...at the oppofite Angles of the Pa• rallelograms which make the Gnomon. Pl.zF14. up. THEOREM i. If a Line AB be divided into any two Parts in C, the Square of the whole Line AB, viz. ABED, is equal to the Squares of the two Parts AC, CB, together with twice... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...ftraight line be divided into any two parts, the •*• fquare of the whole line is equal to the fquares of the two parts, together with twice the rectangle contained by the parts. a. 46. i b. 3i. i. c. ap. z. d. 5. ie. 6. i. f. 34. i BookII. Upon AB ikforibe a the fquare ADEB, and... | |
 | Euclid - 1781 - 552 pages
...the ftraight line AB be divided into any two parts in C ; the fquare of AB is equal to the fquares of AC, CB and to twice the rectangle contained by AC, CB, D 3 Upon Book If. 1. 4<SI k3t.l. c 29. i. A 5.», t 6. r. 8 43-i. K Upon AB defcribe a the fquare ADEB,... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...a ftraight line be divided into any two parts, the fquare of the whole line is equal to the fquares of the two parts, together with twice the rectangle contained by the parts. Let the ftraight line AB be divided into any two parts in C; the fquare of AB is equal to the fquares of AC,... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...a ftraight line be divided into any two parts, the fquare of the whole line is equal to the fquares of the two parts, together with twice the rectangle contained by the parts. Book 11. a. 46. i. b. 3i. i. c. 29. i. A. 5. i. e. 6. t. f. 34. i. &• 43. Upon AB defcribe » the... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...BC. If therefore a straight line, &c. QED PROP. IV. THEOR. IF a straight line be divided into any two parts, the square of the whole line is equal to the...together with twice the rectangle contained by the parts. Book II. Upon AB describe a the square ADEB, and join BD, and through C draw b CGF parallel to AD or... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...up of the four figures, viz. the two squares AF, FD, and the two equal rectangles EE, FB. That is, the square of AB is equal to the squares of AC, CB, together with twice the rectangle of AC, CB. QED Corol. Hence, if a line be divided into two equal... | |
| |
If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
