 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 - Seite 63von Great Britain. Admiralty - 1846Vollansicht - Über dieses Buch
 | John Mason Good - 1813 - 714 Seiten
...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 Seiten
...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 Seiten
...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 - 1819 - 350 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 - 1825 - 1046 Seiten
...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 - 1826 - 326 Seiten
...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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