 | E. J. Brooksmith - 1889 - 356 sider
...parallel to the other diagonal, intersect in E. Prove that BE= CD. 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. The diagonal AC of a square ABCD is produced to E, so that CE=BC. Prove that... | |
 | Nathan Fellowes Dupuis - 1889 - 370 sider
...the construction of 183° solves the problem, " To divide a given segment so that the rectangle on the whole and one of the parts is equal to the rectangle on the other part and the segment which is the sum of the whole and the first part." r i. Construct... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...= pq + pr= area ofreet. AB, AC + araz ofreet. AB, BC. 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 Let AB be divided at C. Then rect. AB, BC=rect. AC, CB, with sq. on BC. On BC... | |
 | Royal Military College, Sandhurst - 1890 - 144 sider
...factors a1, a2, a3, &c. II.— EUCLID AND TRIGONOMETRY. 1. Show that 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. To what algebraical formula does this proposition correspond ? 2. Describe a... | |
 | Rupert Deakin - 1891 - 102 sider
...of the parts are together equal to the square on the. whole line. 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. If a straight line be divided into any two parts, the square on the whole... | |
 | 1891 - 442 sider
...9. If a straight line be divided into any two parts, then 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 on the aforesaid part. Prove this proposition. ALGEBRA (GRADE II. ACADEMY.) SECTION I. 1. Find the... | |
 | Euclid - 1892 - 460 sider
...+ &) a + (a + &) I. PROPOSITION 3. THEOREM. If a straight line is divided into any two parts, tlie rectangle contained by the whole and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. Let the straight line AB... | |
 | Nathan Fellowes Dupuis - 1894 - 313 sider
...the construction of 183° solves the problem, " To divide a given segment so that the rectangle on the whole and one of the parts is equal to the rectangle on the other part and the segment which is the sum of the whole and the first part." 11. Construct... | |
 | University of Sydney - 1898 - 548 sider
...it. 3. 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 on the aforesaid part. 4. If two straight lines cut one another within a circle, the rectangle contained... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...then AB = a + b units ; and we have (« + bf PROPOSITION 3. THEOREM. If a straight line is divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. ACB Let the straight line... | |
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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. 
