 If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts inC; The...  Calendar of Dalhousie College and University - Page xby Dalhousie University - 1891Full view - About this book
 | Euclides - 1860 - 288 pages
...together with the rectangle AC • CB. PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Given the straight... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...a straight line be divided, &c. QED PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. let the straight... | |
 | War office - 1861 - 714 pages
...two right angles or are together equal to two right angles. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 3. If in a circle... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...line of an unlimited length, from a given point without it. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 4. If from... | |
 | Euclides - 1864 - 262 pages
...a straight line be divided, &c. QED PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...Wherefore, if a straight line &c. QMJX PROPOSITION 4. THEOREM. If a straight line be divided into any two parts, the square on the whole line. is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...between the same parallels. ELEMENTARY GEOMETRY. THEOREM 25. If a straight line is divided into any two parts, the square on the whole line is equal to the sum of the squares on the parts and twice the rectangle contained by the parts. Let AB be divided in C. Describe... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...the sum of the squares on each part, together with twice the rectangle contained by the parts. 3rd. If a straight line be divided into two parts, the square on one part is equal to the sum of the squares on the whole line and the other part, less twice the rectangle... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...square on AB is equal to the squares on AC, CB, and twice the rectangle contained by AC, C B. III. If a straight line be divided into two parts, the square on one part is equal to the sum of the squares on the whole line and the other part, less twice the rectangle... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...called the external sesrments of AC. PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parti together with tucice the rectangle contained by the parts. A cr B X Tt V OS... | |
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