| Robert Simson - Trigonometry - 1806 - 546 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... | |
| John Playfair - Mathematics - 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... | |
| John Mason Good - 1813 - 714 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 - 588 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... | |
| John Playfair - Circle-squaring - 1819 - 350 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... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...of CB, is equal to the square of CD. Wherefore, if a straight line, &c. Q. £. JO. 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... | |
| John Playfair - Geometry - 1829 - 210 pages
...1. If a straight line AB be divided into any two parts AC, CB, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and that part together with the square of the other part. That is, ABa + BO « 2 AB . BC + AC3,... | |
| Euclid - 1835 - 540 pages
...square of CB, is equal to the square of CD. Wherefore, " if a straigtd 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... | |
| Mathematics - 1836 - 488 pages
...is equal to the square of the straight line which is made up of the half and the part produced. VII. 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... | |
| John Playfair - Geometry - 1836 - 148 pages
...so that the rectangle AB, BH is equal to the square of AH. Which was to be done. E PROP. XXV. 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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