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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

Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...squares of the two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — If a straight line be divided into two equal, and also...square of the line between the points of section. 7. AOB is the quadrant of a circle, whose centre is 0 ; from any point C in its arc draw CD perpendicular...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...of the diagonals of a parallelogram are together equal to the squares of the four sides. 6. If a st. line be divided into two equal and also into two unequal...the squares of the two unequal parts are together equal to twice the rectangle contained by these parts, together with four tunes the square of the line...

Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 134 pages
...AriIh. Hyp. Л l,l. РВОР. IX. PROP. IX. TUEUR. //' a st. line be divided into two equal parts, and also into two unequal parts, the squares of the...unequal parts are together double of the square of the half line and of the square of the line between the points of section. Cos. II. 1, 3. I, m. 1....

A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 356 pages
...square of the whole line is equal to the squares of the two parts and twice their rectangle. B. " 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...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...himself 2,2001. in debt. What was the annual income, and what the expenditure of each. Euclid. 1. 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 of the line between the points of...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...on the two unequal parts are together double of the square «» half the line, and of the square on the line between the points of section. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D. Then the squares on AD, DB together, shall...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...CB, the square on any line is quadruple of the square on half that line. PROPOSITION IX. THEOREM. 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...

A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...squares of the two parts, together with twice the rectangle contained by the parts. PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares of the two unequal parts are together double of the square of half the...