| Euclid, John Keill - Geometry - 1723 - 364 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... | |
| John Keill - Trigonometry - 1733 - 397 pages
...contained under AC and CB. But HF, CK, AG, GE, make up the whole Square of AB, w*. ADEB. Therefore **the Square of AB is equal to the Squares of AC, CB,** together with twice the Re&angle contained under AC, CB. Wherefore, if a Right Line be any how cut,... | |
| Robert Simson - Trigonometry - 1762 - 466 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 - 520 pages
...a flraight 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,... | |
| Benjamin Donne - Geometry, Plane - 1775 - 159 pages
...are at the oppofite Angles of the Parallelograms which make the Gnomon. Pl.zF14. 119. 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... | |
| Euclid - 1781 - 520 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. Let the** ftraight line AB be divided into any two parts in C i ike fquire of AB is equal to the fquares of AC,... | |
| Robert Simson - Trigonometry - 1781 - 466 pages
...Let 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.** Book II. Upon AB ikforibe a the fquare ADEB, and join BD, and thro' C draw "> CGF parallel to AD or... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...ftraight line be divided into any two parts, the fquare of the whole line is equal to trie 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 - 1806 - 518 pages
...other part, is equal to the square of the straight line which is made up of the whole and that part. **Let the straight line AB be divided into any two parts in** the point C ; four times the rectangle AB, BC, together with the square of AC, is equal to the square... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...equal to the square of the straight line which is made up of the whole and the firstmentioned part. **Let the straight line AB be divided into any two parts in** the point C ; four times the rectangle AB.BC, together with the square of AC, are equal to the square... | |
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