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" If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... "
Elements of Plane Geometry According to Euclid - Σελίδα 44
των Andrew Bell - 1837 - 240 σελίδες
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and...part, together with the square of the other part. CONS.— 46. L, Pst. 1 and 31. I. DEM.— 43. L, Axs. 2 and 6, De£ 30. L, Cor. 4. II., Ax. 8, and...

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

War office - 1858 - 12 σελίδες
...a-share, I should have 240Z. left. How many shares did I wish to buy ? Euclid. the -parts are equal to twice the rectangle contained by the whole and...part, together with the square of the other part. 2. Find the centre of a given circle. If two circles touch each other, given the centre of one circle,...

Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858
...line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole, and...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight...

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

Euclides - 1858
...line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and...that part, together with the square of the other part CON. 46. I, Pst. 1. 31. I, DEM. 43. I, Ax. 2. 6, Def. 30. I, Cor. 4. II, Ax. H. 34. I. EXP. Соя....

Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 σελίδες
...equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained...

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

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...line be divided into any two parts the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and...part, together with the square of the other part. Voluntary Portion. 1. Reduce (x+y$x(x+y)\ x(x— y)nx(i— y)q. Solve the equations (1) 6x* + 5x=4>...

Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859
...into any two parts the squares of the whole line and of one of the parts, are equal to twice the PA. C rectangle contained by the whole and that part, together with the square of the other part, 7. Divide a line into two such parts that their rectangle may be the greatest possible. 8. The opposite...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other part. 7. If ABC be a triangle, and AD, BE, be drawn perpendicular to BC, AC, and intersect...

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

Robert Potts - 1860 - 361 σελίδες
...line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line ABbe divided into any two parts in the point C. Then the squares...

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

Euclides - 1860
...line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Given the straight line AB, divided into any two parts in the point C ; to prove...




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