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" IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 58
by Euclides - 1841 - 351 pages
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...angles ; and the three interior angles of every triangle are together equal to two right angles. 11. If a straight line be divided into two equal, and also...square of the line between the points of section. 12. Describe a square that shall be equal to a given rectilineal figure. 13. If any point be taken...
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The London University Calendar

London univ - 1874 - 778 pages
...and a point E in AC, DE is less than EC. 6. If a straight line be divided into equal and also into unequal parts, the squares of the two unequal parts...square of the line between the points of section. If the sides BC, CA. AB of a right-angled triangle ABC are bisected in the points D, E, F, respectively,...
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Calendar

University of Cambridge - 1855 - 682 pages
...lines are together equal to the squares of the hypothenuse and of the line drawn parallel to it. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares of the unequal parts are together double of the square of half the line and of the square of the line between...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...other angles shall be equal, each to each, namely those to which the equal sides are opposite. 3. 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...
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Solutions of the Exercises in Tyler's Euclid

268 pages
...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 Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 812 pages
...corollary: — "Every parallelogram which has one right angle has all its angles right angles." 4. 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 of the line, and of the square on...
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Annual Report of the Commissioners ..., Volume 48

1882 - 350 pages
...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...
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Examination,Midsummer,1879

Education Department - 1879 - 1136 pages
...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...
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Calendar

University of St. Andrews - 1904 - 790 pages
...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...
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The Elements of Plane Geometry

Euclid - 1845 - 336 pages
...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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