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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 Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 52
των John Playfair - 1837 - 318 σελίδες
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The elements of algebra

James Wood - 1857
...Theory, for our present purpose: — Ex. 1. If a straight line be divided into any ttvo parts, ike squares of the whole line, and of one of the parts,...part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and 6 represent the two parts into which the given line is divided;...

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

sir Thomas Dyke Acland (11th bart.) - 1858
...Give reasons for your answer. 32. Prove geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one...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
...is 154*4 miles ; required the earth's diameter. PROP. VII. THEOR. If a st. line be divided into any two parts, the squares of the whole line and of one...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....

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

War office - 1858 - 12 σελίδες
...How many sacks was the contractor bound to supply ? Euclid. 1. If a straight line be divided into any two parts, the squares of the whole line and of one...part, together with the square of the other part. VOLUNTARY PORTION. 1. Define the sine and cosine of an angle or arc, and trace the signs and extreme...

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

Euclides - 1858
...square equal to the difference of two given squares. 3. To divide a given line into two parts, such that the squares of the whole line and of one of the parts shall be equal to twice the square of the other part. 4. To divide a given line into two such parts...

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

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...and between the same parallels are equal to one another. 3. If a straight line be divided into any two parts, the squares of the whole line and of one...part, together with the square of the other part. 4. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting...

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

1859
...that for all positions of AB the distance CD is the'same. 6. 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 PA. C rectangle contained by the whole and that part, together with the square of the other part, 7....

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

Royal college of surgeons of England - 1860
...one another. 6. If a 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...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 plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...mean distance. If a straight 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...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...

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

Robert Potts - 1860 - 361 σελίδες
...VII. THEOREM. If a straight 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...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...




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