 | Euclides - 1816 - 588 σελίδες
..."Y"*"' AB, BC, is equal to the square of AB. If therefore a straight line, &c. QED PROP. III. THEOR. IF a straight line be divided into any two parts, the rectangle contained by the whole and one ofthe parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid... | |
 | John Playfair - 1819 - 354 σελίδες
...AC + AB.BC =AB3. Therefore, if a straight line. &c. Q, ED P "P - ~ J) JH. e K I. 1 PROP. III. THEOR. If a straight line be divided into any two parts,...by the two parts, together with the square of the foresaid part. Let the straight line AB be divided into two parts in the point C ; the rectangle AB.BC... | |
 | John Playfair - 1819 - 350 σελίδες
...AE = AB2. Therefore AB.AC + AB.BC =AB2. Therefore, if a straight line. &c. QED D PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whoj.e and one of the parts, is equal to the rectangle contained by the two parts, together with the... | |
 | John Mason Good - 1819 - 800 σελίδες
...the whole and each of the parts, are together equal to the square of the whole line. Prop. HI. Theor. If a straight line be divided into any two parts, the rectangle contained by the «•hole and one of the parts, is equal to the rectangle contained by the two parts, together with... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...AB, BC, is equal to the square of AB. If therefore a straight line, &c. Q> ED PROP. III. THEOR. IP a straight line be divided into any two parts, the...by the two parts, together with the square of the foresaid part. Let the straight line AB be divided into two parts in the point C; the rectangle AB,... | |
 | Euclid - 1826 - 234 σελίδες
...rectangle contained under the whole line and one of its parts is equal to the rectangle contained under the two parts, together with the square of the aforesaid part.* Let the right line AB be divided into any two parts in the point c; the rectangle AB, вс, is equal to the... | |
 | Euclides - 1826 - 226 σελίδες
...rectangle contained under the whole line and one of its parts is ecfual to the rectangle contained under the two parts, together with the square of the aforesaid part.* Let the right line AB be divided in to any two parts in the point c; the rectangle AB, вс, is equal to the... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...D FE QED PROP. III. THEOR. If a straight line be divided into any to parts, the reetangle eontained by the whole and one of the parts, is equal to the reetangle eontained by the two parts, together with the square of the foresaid part. Let the straight... | |
 | Robert Simson - 1827 - 546 σελίδες
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C : the square of AB shall be equal to the squares of AC, CB, together with twice the rectangle contained... | |
 | John Playfair - 1829 - 210 σελίδες
...contained by the whole line and each of the parts are together equal to the square of the whole line. ..If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
