| 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,... | |
| 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,... | |
| 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... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...rectangle contained by the two parts, together with the aquarc of the foresaid part. Prop. IV. Theor. **If a straight line be divided into any two parts,...•with twice the rectangle contained by the parts.** Prop. V. Theor. If a straight line be divided into two equal parts, and also into two unequal parts)... | |
| Jeremiah Day - Algebra - 1814 - 303 pages
...than in ordinary language. The proposition, (Euc. 4. 2.)] that when a straight line is divided into **two parts, the square of the whole line is equal to the squares of the two parts,** togedier with twice die product of the parts, is demonstrated, by involving a binomial. Let the side... | |
| Euclides - Euclid's Elements - 1816 - 528 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 - 1819 - 317 pages
...if a straight If D -E line, &c. Q, ED PROP. IV. THEOR. If a straight line be divided into any tiio **parts, the square, of the whole line is equal to the...straight line AB be divided into any two parts in C** ; Uie square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC, CB,... | |
| John Mason Good, Olinthus Gilbert Gregory - 1819
...rectangle contained by the two parts, together with tiie square of the furesaicl part. Prop. IV. Theor. **If a straight line be divided into any two parts, the square of the whole line** n equal to the squares of the two parts, together with twice the rectangle contained by the parts.... | |
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