 | 1883 - 654 sider
...that is, the sqs. on BA and CA= twice the sq. BF (the radies). QED 2. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square os the aforesaid part. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending... | |
 | Euclides, James Hamblin Smith - 1883 - 376 sider
...the line, PROPOSITION III. THEOREM. // a straight line be divided into any two parts, the rectangk contained by the whole and one of the parts is equal to the netangle contained by the two parts together with the square on the aforesaid part. J) Let the st.... | |
 | Stewart W. and co - 1884 - 272 sider
...together with the rectangle AB, BC, is equal to the square of AB. III. — If a straight line be divided into any two parts, the rectangle contained by the...by the two parts, together with the square of the aforesaid part. Let AB be divided into any two parts in the point C; then the rectangle AB, BC, is... | |
 | Euclides - 1884 - 434 sider
...AB ; NOTE. — The enunciation of this proposition usually given is : If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts together with the square on the aforesaid part. That is, in reference to the figure, an expression which can be easily derived... | |
 | University of Cambridge - 1884 - 624 sider
...respectively. Prove that the triangle DBG is double the triangle DEC. •i. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. 5. Describe a square that shall be equal to a given rectilineal figure. On the... | |
 | Oxford univ, local exams - 1885 - 358 sider
...right angles. Enunciate and prove the corollaries of this proposition. 3. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. 4. The angles in the same segment of a circle are equal to one another. 5. About... | |
 | Dalhousie University - 1885 - 230 sider
...lines towards the same parts, are themselves equal and parallel. 10. 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 square of that part together with the rectangle of the two paits. GEOMETRY. (EXHIBITIONS AND BURSARIES.)... | |
 | George Bruce Halsted - 1885 - 389 sider
...Therefore 102 293. If c = a, then a(b + c) = a(b + a) = aa + a*. a*c Therefore If a sect be divided into any two parts, the rectangle contained by the whole and one of the parts is equivalent to the rectangle contained by the two parts, together with the square on the aforesaid part.... | |
 | George Bruce Halsted - 1886 - 394 sider
...IO2 293. If c = a, then a(b + e) = a(6 + a) = ab + aa = ab + of. ac Therefore If a sect be divided into any two parts, the rectangle contained by the whole and one of the parts is equivalent to the rectangle contained by the two parts, together with the square on the aforesaid part.... | |
 | Dalhousie University - 1888 - 212 sider
...parallel. 3. If a straight line be diyided 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 of the aforesaid part. 4. Prove, either by a diagram or in any other way, that if a straight line be bisected... | |
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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. 
