 | James Blaikie - 1892 - 74 pages
...line bisected, shall be equal to the square on the line made up of the half and the part produced. 7. If a straight line be divided into any two parts, the square on the whole line, together with the square on one of the parts, shall be equal to twice the rectangle... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...contained by each of the parts of the first line and each of the parts of the second line. PROPOSITION 2. If a, straight line be divided into any two parts, the square on the whole line is equal to the sum of the rectangles contained by the whole and each of the parts*.... | |
 | St. George Jackson Mivart - Science - 1894 - 452 pages
...be more conveniently treated algebraically. Thus, eg, there is one * which declares that if a right line be divided into any two parts, the square of the whole line is equal to the square of the two parts together with twice the product of those parts. Now evidently this is equivalent... | |
 | St. George Jackson Mivart - Science - 1894 - 412 pages
...represent one of the two parts into which the right line is divided and b to represent its other part, then the square of the whole line is equal to the squares of a and b together with twice the product of a and b, and this must be a2 + 2ab + b*, which, as we saw... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...if the rectangle BD, BC be equal to the square on AB, the angle A is a right angle. PROPOSITION 4. 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 parts and twice the rectangle contained... | |
 | Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...diameter of the original parallelogram. 5. If the square described on one of the sides of a • 6. 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... | |
 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...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. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
 | Northwest Territories Council of Public Instruction - 1897 - 628 pages
...v >:—•;%-;••* •; 2:. as-y sw. arts, tb* •'. . •> • • V .•> , • .«* B. 5. (a) If a straight line be divided into any two parts,...the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. II. 4. (6) Deduce II.... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...are each equal to the quadrilateral AEFD, and that the triangle CBF is half of the triangle ABC. 6. 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... | |
 | Education - 1901 - 548 pages
...the squares on AX, XB is equal to the square on AB ; show that the angle AXB is a right angle. (5) If a straight line be divided into any two parts the square on the whole line is equal to the sum of the rectangles contained by the whole line and each of the... | |
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IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
