 | Euclides - Geometry - 1853 - 334 pages
...the other part shall be equal to the square of the line which is made up of the whole line and that part. Let the straight line AB be divided into any two parts AC, CB in c. Then four times the rectangle AB, BC together with the square of AC shall be equal to... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...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 - Geometry - 1855 - 334 pages
...rectangle contained by tht whole ami one of the parts, is equal to the rectangle contained by the tw» 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.BC is equal to the rectangle AC.BC, together with BC 2... | |
 | Euclides - 1855 - 270 pages
...lines 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... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...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 - 1856 - 168 pages
...and each of the parts. Cor. 2. — In like manner making A equal to one of the parts, it appears that if a straight line be divided into any two parts,...contained by the two parts together with the square of the first mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two parts the square... | |
 | 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...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 to the opposite... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...parallel. 4. Parallelograms upon equal bases, and between the same parallels, are equal to one another. 6. If a straight line be divided into any two parts, the rectangle contained by the whole and one of its parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid... | |
 | War office - 1858 - 578 pages
...side, and likewise the two interior angles on the same side together equal to two right angles. 3. If a straight line be divided into any two parts,...parts together with the square of the aforesaid part. How must the line be divided so that the rectangle by the whole and part shall be equal to twice the... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...equal to the rectangles contained by the undivided line, and the several parts of the divided line. If a straight line be divided into any two parts, the rectangle contained by the whole and ono part is equal to the rectangle contained by the two parts, together with the square of the aforesaid... | |
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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. 
