 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...  The Elements of Geometry, Symbolically Arranged - Page 63by Great Britain. Admiralty - 1846Full view - About this book
 | 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,...part, together with the square of the other part. Prop. VIII. Theor. If a straight line be divided into any two parts, four times the rectangle contained... | |
 | Euclides - 1814 - 560 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,...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... | |
 | 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,...together with the square of the other part. Let the straight line AB be divided into any two parts in A 5% .Gei" 4tS -•1• ..OFEUCLJD. .•.*«-£,•... | |
 | 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,...together with the square of the other part. . Let the straight line AB be divided into any two parts in the point € ; the squares of AB, BC, are equal... | |
 | John Playfair - 1819 - 354 pages
...DB + CBa=C/D3. Therefore, if a straight line, &c. Q, ED PffP. VII. T If a straight line be-cKvided into any two parts, the squares of the whole line,...equal to twice the rectangle contained by the whole andfthat part, together with the square of the other part. i Let the straight line AB be divided into... | |
 | John Mason Good - 1819 - 800 pages
...square of the straight line which is 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, ajid of one of the parts, are equal to twice the rectangle contained by the whole and that part, together... | |
 | Euclides - 1821 - 294 pages
...together with the D 5 of the line drawn to base is = to the square of the side. PROP. 7, THEOR. Mf a right line be divided into any two parts, the squares of the whole line and either segment are: equal to double the rectangle under the whole line and that segment, together with... | |
 | Euclid - 1822 - 222 pages
...to the base, equal to the square of the side (2). PROP. VII. THEOR. * Fig. is. If a right line (AB) be divided into any two parts, the squares of the whole line ( AB) and either segment (CB) are together equal to double the rectangle under the whole and that segment,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...square of CD. Wherefore, if a straight line, &c. Q. £. D. whole line, and of one of the parts, яге equal to twice the rectangle contained by the whole...together with the square of the other part. Let the straight line AB be divided into any two parts in the point С ; the squares of AB, BC are equal to... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...a straight line, &e. Q. E, D. PROP. ViI. THfiOR. Jf a straight line be divided into any two partsj the squares of the whole line, and of one of the parts, are equal to twiee the reetangle eontained by the whole and that part> together with the square of the other part.... | |
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