Books Books
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 first and second books of Euclid explained to beginners, by C.P. Mason - Page 152
by Euclid, Charles Peter MASON - 1872

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 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...

Calendar

University of St. Andrews - 1904 - 790 pages
...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 - 1136 pages
...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 - 328 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...

Calendar

University of Cambridge - 1870 - 782 pages
...point /' : prove that AE is equal to EF. 2. If a straight line be divided into two equal, and alao 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....