 | Euclid, Thomas Tate - 1849 - 120 pages
...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 the straight line AB be divided into two parts in the point c ; the rectangle AB,... | |
 | 1852 - 316 pages
...angle. III. 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. following sentence, shewing the variou» clauses, &c. :— " Not to do your best when... | |
 | Euclides - 1852 - 152 pages
...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 to the 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 rectangle AB,... | |
 | Euclides - Geometry - 1853 - 176 pages
...— THEOREM. If a slraigM 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 tlie square of the aforesaid part. LET the straight line ab be divided into any two parts in the point... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 to 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 - 146 pages
...— THEOREM. 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 mill the square of the aforesaid part. Let the straight line AB be divided into any two parts in the... | |
 | Euclides - Geometry - 1853 - 334 pages
...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 rectangle AB,... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...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«. . .... | |
 | Euclides - 1855 - 270 pages
...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 square oftheforesaidpart. Let the straight line AB be divided into any two parts at the point... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...angle. 6. If a straight line be divided into anу 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 of the aforesaid part. 7. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles... | |
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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. 
