| Robert Simson - Trigonometry - 1762 - 466 pages
...line be divided into any two- parts, rhe •*, fquares of the whole line, and of one of the parts are **equal to twice the rectangle contained by the whole and that part, together with the** fquare of the other part. Let the ftraight line AB be divided into any two parts in the D B E point... | |
| Euclid - 1781 - 550 pages
...ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts, are **equal to twice the rectangle contained by the whole and that part, together with the** fquare of the other part. Let the ftraight line AB be divided into any two patts in the F* G LCB D... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...ftiaight line be divided into any two parts, the fquares of the whole line, and of one of the parts, are **equal to twice the rectangle contained by the whole and that part, together with the** fquare of the other part. Let the ftraight line AB be divided into any two parts in the point C ; the... | |
| Robert Simson - Trigonometry - 1804
...ftraight line be divided into any two parts, the fquares of the whole line, and of one of the parts are **equal to twice the rectangle contained by the whole and that part, together with the** fquare of the other part. 7 t H K / '-£ II. 1. Let the ftraight line AB be divided into any two parts... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...CMG+LG=CF=CD2; therefore AD.DB+CB2 =CD2. Therefore, if a straight line, &c. QED L_ PROP. VII. THEOR. Book II. **IF a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. **IF a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
| Euclid - Geometry - 1810 - 518 pages
...straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are **equal to twice the rectangle contained by the whole and that part, together with the square** of the other part. Let the straight line AB be divided into any two parts in ;he point C ; the squares... | |
| John Mason Good - 1813 - 722 pages
...the square of the «traight line which U made up of the half and the part produced. Prop. VII. Theor. **If a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
| Euclides - 1816 - 528 pages
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. Q.. ED PROP. VII. THEOR. **IF a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the Whole... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...therefore AD. DB + CB3 = CD3. Therefore, • "" "" " if a straight line, &c. Q, ED PROP. VII. THEOR. **If a straight line be divided into any two parts, the squares** of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
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