 | 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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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 and that part, together with the square of the other part. Let the straight line AB be divided... 
