 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...straight lines AB, AC is sometimes simply called the rectangle AB, AC. PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle...contained by the whole and one of the parts is equal with the rectangle contained by the two parts, together with the square of the aforesaid part. Let... | |
 | 1852 - 316 σελίδες
...is equal to the squares described upon the sides which contain the right angle. III. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square of the aforesaid part. following sentence, shewing the variou» clauses, &c. :— " Not to do... | |
 | Euclides - 1852 - 152 σελίδες
...numbers multiplied together.] 90 BOOK II. • xlvi. 1. THE ELEMENTS PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into two parts in the point C; the... | |
 | Euclides - 1853 - 176 σελίδες
...the square of ab. If QED df therefore a straight line, &c. PROPOSITION III. — THEOREM. If a slraigM line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with tlie square of the aforesaid part. LET the straight line ab be divided into any two parts in the point... | |
 | Euclides - 1853 - 146 σελίδες
...to the square of AB. If, therefore, a straight line, &c. QED PROP. III. — THEOREM. If a straight line be divided into any two parts, the rectangle...the rectangle contained by the two parts, together mill the square of the aforesaid part. Let the straight line AB be divided into any two parts in the... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...equal to the square of AB. If therefore a straight line, etc. QED PROPOSITION III. THEOR. If a straight line be divided into any two parts, the rectangle...the rectangle contained by the two parts, together loith the square of the aforesaid part. Let the straight line AB be divided into any two parts in the... | |
 | Euclides - 1853 - 334 σελίδες
...into any two parts : then the rectangle contained by the whole line and one of the parts, shall be equal to the rectangle contained by the two parts together with the square of the aforesaid part. Let the straight line AB be divided into any two parts in c. Then. the... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...PROPOSITION III.— ТНЕОЕБИ. . ., If a straight line (AB) be divided into any two parts (AC, CB), the rectangle contained ,by the whole and one of the parts is equal to the rectangle contained by the twoparts% together with the square of the aforesaid part : that is, AB-BC = AOCB + :вс«. . .... | |
 | John Playfair - 1855 - 340 σελίδες
...PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by ttie whole and one of the parts, is equal to the rectangle contained by the twtt parts, together with the square of the aforesaid part. Let the straight line AB be divided... | |
 | Euclides - 1855 - 270 σελίδες
...mentioned in its enunciation are equal, their rectangle is в square. PROP. III. THEO КЕМ. If a straight line be divided into any two parts, the rectangle contained by the inhale and one of the parts is equal to the rectangle contained by the two parts, together toith the... | |
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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. 
