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" If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 55
των Euclid, John Playfair - 1826 - 320 σελίδες
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Solutions of the Exercises in Tyler's Euclid

268 σελίδες
....: 4 sq. on AC+2 sq. on DC=2 sq. on ^C + sqs on AD, DB; or 2 sqs on AC, DC = sqs on AD, DB. 153, 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are equal to twice the rectangle contained by the two unequal parts together...
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Annual Report of the Commissioners ..., Τόμος 48

1882 - 350 σελίδες
...segments of one of them is equal to the rectangle contained by the segments of the other 8 marks. 7. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the squares on half the line and the line between the...

Calendar

University of St. Andrews - 1904 - 790 σελίδες
...point outside the straight line BAG such that'AB2+ PC2=AC° + PB2, PA will be at right angles to BC. 8. If a straight line be divided into two equal and also into two unequal parts, the sum of the squares on the two unequal parts is -equal to twice the sum of the squares on the part between...

Examination,Midsummer,1879

Education Department - 1879 - 1118 σελίδες
...triangle, as diameters, shew that the hypotenuse BC passes through one of the points of intersection. B2 4. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of...

The Elements of Plane Geometry

Euclid - 1845 - 336 σελίδες
...pentagon has its five sides equal ; if it have any three angles equal, it is a regular pentagon. 19. 1. If a straight line be divided into two equal, and also into two unequal, parts, compare the lengths of the unequal parts if the rectangle contained by them be three times the square...
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Journal, Τόμος 13

1865 - 564 σελίδες
...containing the right angle of a right-angled triangle are equal to the square on the other side. (4) If a straight line be divided into two equal and also into unequal part*, the squares on the two unequal parts are together double of the square on half the line,...




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