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 Βιβλία Βιβλία 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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 14. Any rectangle is the half of the rectangle... ## Report of the Secretary for Public Instruction ...

...proposition in the case of a triangle whose sides are 3, 4, and 5 units respectively. 5. Prove that if a straight line be divided into any two parts,...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... ## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...equal to the square of the straight line which is made up of the half and the part prodnced. Prop. 7 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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...is that which is half of the given square. 504. Divide a given straight line into two parts so that the squares on the whole line and on one of the parts may be together double of the square on the other part. 505. Two rectangles have equal areas and equal... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...is that which is half of the given square. 504. Divide a given straight line into two parts so that the squares on the whole line and on one of the parts jnay be together double of the square on the other part. 505. Two rectangles have equal areas and equal... ## Report on the examination for admission to the Royal military academy at ...

...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 contained by the whole...part, together with the square on the other part. Where does Euclid afterwards use this proposition? 12. To inscribe a square in a given circle. 13.... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 σελίδες
...CB, is equal to the square on CD. Wherefore, if a straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of Uie parts, are equal to twice the rectangle contained by the whole and that part, together with the... ## Papers for the schoolmaster, Τόμος 4

1868
...If a straight line be divided into an; two parts, the squares of the whole line and one of the parti are together equal to twice the rectangle contained...the whole and that part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the... ## Report of the commissioners, Τόμος 6

...line be divided into any two parts : then the squares of the whole line and one of the parts shall be equal to twice the rectangle contained by the whole and that part together with the square of the other part. 4. The square of the difference of two numbers is equal to the sum of the squares... ## The Edinburgh university calendar

Edinburgh univ - 1868
...Parallelograms upon equal bases and between the same parallels are equal. 4. Prove Prop. 47, BI 5. 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 line...