 | Euclides - 1856 - 168 pages
...the square of the whole line thus produced and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the b'ne made up of the half and the part produced. Let AB (Fig 41) be bisected in C and produced to D... | |
 | Euclides - 1860 - 288 pages
...squares on the other two sides is double of the square on half the side bisected, and of the square on the line drawn from the point of bisection to the opposite angle of the triangle. Given a triangle ABC, of which the side BC is bisected in D, and DA drawn to the opposite... | |
 | Euclides - 1862 - 172 pages
...the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. (References— Prop. i. 5, 6, 11, 15, 29, 31, 32, 34, 46... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. 10. Divide a given straight line into two parts, so that... | |
 | Euclides - 1865 - 402 pages
...the square of the whole line thus produced, and '.he square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Prop. 11. To divide a given straight line into two parts,... | |
 | Edinburgh univ - 1868 - 336 pages
...the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made np of the half and the part produced. 6. Upon a given straight line to describe a segment of a... | |
 | Woolwich roy. military acad - 1868 - 426 pages
...to any point, the squares of the whole line thus produced and the part of it produced are together double of the square of half the line bisected and of the square of the line made up of the half and part produced." A is a point without a given circle ; ABC, ADE are drawn from... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...square of the wliole line thus produced, and the square of the part of it produced, aro together twice the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let AB be bisected in C, and produced to D ; then the squares... | |
 | Richard Wormell - 1876 - 268 pages
...squares on the other two sides is double of the square on half the side bisected, and of the square on the line drawn from the point of bisection to the opposite angle of the triangle. .. .. .. .. .. .. .. ..156 B. The sum of the squares*on the diagonals of any parallelogram... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...the squares of the other two sides is equal to twice the square of half the side bisected and twice the square of the line drawn from the point of bisection to the opposite angle. Let AB be bisected in DC by the line DC; draw EC perpendicular to AB. Then will AC 2 +BC 2 be equal... | |
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If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the... 
