| 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... | |
| Robert Simson - Trigonometry - 1775 - 534 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... | |
| Euclid - 1781 - 552 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... | |
| Alexander Ingram - Trigonometry - 1799 - 374 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... | |
| John Playfair - Mathematics - 1806 - 320 pages
...Therefore AB.BC =AC.CB+BC2. Therefore, if a straight line, &c. QED c B •33 PROP. IV. THEOR. \ -^ **IF a straight line be divided into any two parts,...together with twice the rectangle contained by the** parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...rectangle AC, CB, together with the square of BC. If therefore a straight line, &c. QED PROP. IV. THEOR. **IF a straight line be divided into any two parts,...together with twice the rectangle contained by the** parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the... | |
| John Mason Good - 1813 - 714 pages
...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,...together •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... | |
| Jeremiah Day - Algebra - 1814 - 304 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 - 1816 - 588 pages
...rectangle AC, CB, together with the square of BC. If therefore a straight line, &c. QED PROP. IV. THEOR. Is **a straight line be divided into any two parts, the...together with twice the rectangle contained by the** parts. Let the straight line AB be divided into any two parts in C; the square of AB is equal to the... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...therefore AB.BC '= AC.CB -f BC2. Therefore, if a straight -F line, &c. Q, ED — D PROP. IV. THEOR. **If a straight line be divided into any two parts,...together with twice the rectangle contained by the** parts, Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the... | |
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