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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

Euclides - 1858
...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 ..., Τόμος 2

Euclides - 1858
...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 - 1859
...the 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 - 1869 σελίδες
...finds 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 plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...on 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
...the 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...

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

Robert Potts - 1860 - 361 σελίδες
...added together in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into lmi unequal parts ; the squares on the two unequal parts are together double of the square «» half...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...sides of the one shall be equal to the angle contained by the two sides, equal to them of the other. 2. If a straight line be divided into two equal and also...of the two unequal parts are together double of the squares of half the line, and of the line between the points of section. VOLUNTARY PORTION. 1. Inscribe...

Guide to the Army Competitive Examinations: being a Compendium of practical ...

Alexander Hadden Hutchinson - 1861 - 100 σελίδες
...the right angle is equal to the squares described upon the sides which contain the right angle. 2. 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 cf the line between the points of...

Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...II. 1. Parallelograms upon the same base and between the same parallels are equal to one another. 2. 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...




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