| 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... | |
| 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... | |
| Euclid - 1781 - 550 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... | |
| 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... | |
| Robert Simson - Trigonometry - 1806 - 518 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, 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 squares... | |
| John Playfair - Euclid's Elements - 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, 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 squares... | |
| John Mason Good - 1813 - 722 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, the...•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 - 1816 - 528 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 squares... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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, 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 squares... | |
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