 | University of Oxford - Greek language - 1879 - 414 pages
...the other. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. 4. If a point be taken within a circle, from which there fall more than two equal... | |
 | Euclides - 1879 - 146 pages
...VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let AB be divided into any two parts at C. Then the sqs. on AB, BC = twice rect.... | |
 | Moffatt and Paige - 1879 - 506 pages
...VII. Theorem. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square on the other part. Same proposition. Prove this both geometrically and algebraically. Same proposition.... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...straight line be divided into any two parti, (he squares on the whole line and on one of the parts arc equal to twice the rectangle contained by the whole and that part together with the square on the other part. 0 B IF 'H Let AB be divided into any two parts in C. Then must sqq. on AB, BC=twice... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...line is equal to the squares of the two parts, together with twice the rectangle contained by the two part*. Let the straight line AB be divided into any two parts in C; then will . CB. Upon AB describe (I. 41) the square ABED ; join BD ; through C draw (I. 29) CF parallel... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...contents shall be equal to each other? 1. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...part, together with the square of the other part. Write down the corresponding algebraical formula. 2. Find the centre of a given circle. If a circle... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...square upon a given straight line. 6. If a straight line be divided into two parts, the squares of rhe whole line, and of one of the parts, are equal to...part, together with the square of the other part. 7. To draw a straight line from a given point, either in the circumference or out of it, which shall... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...7. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts at the point C: the squares... | |
 | 1880 - 594 pages
...Propositions 9 and 10. 2. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. Hence show that the sum of the squares on two straight lines is never less than... | |
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If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
