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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... "
The first and second books of Euclid explained to beginners, by C.P. Mason - Σελίδα 149
των Euclid, Charles Peter MASON - 1872
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 σελίδες
...to the sum of the squares of the parts, together with twice the rectangle contained by the parts. 2. 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...

National Society's Monthly Paper

1856
...anle. . o rag ne o appy a paraeogra have one of its angles equal to a given rectilineal angle. and 2. 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...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...BC and BD together with twice the rectangle BC, BD ; that is (Prop. 49.), to the square of C D. LII. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts is equal to twice the rectangle contained by the whole and...

Middle-class education. 2

Middle-class education - 1857
...proposition true of the angles of a triangle ? 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 of the parts are equal to twice the rectangle contained by the whole,...

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

Euclides - 1858
...a st. 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....

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

Euclides - 1858
...a at. 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. Ax. 2, 47. I. 16. I. If one side of a triangle be produced, the ext. angle is greater...

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

sir Thomas Dyke Acland (11th bart.) - 1858
...proposition true of the angles of a triangle? 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 of the parts are equal to twice the rectangle contained by the whole,...

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

War office - 1858 - 12 σελίδες
...quantity supplied only filled 152 sacks. 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 of the parts are equal to twice the rectangle contained by the whole and...

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

1859
...and CQ ; D the middle point of AB, show 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...

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

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...were 5 times the number of Scotch. How many were there of each nation in the regiment ? Euclid. 1. 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...




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