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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 college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...AC is double of the squares of AD and DE. 24. Divide a given straight line into two parts, snch that the squares of the whole line and of one of the parts shall be equal to twice the square of the other part. 25. In any triangle, if a line be drawn from...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...7. 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 AB be divided into any two parts at the point C ': the squares...

The Edinburgh university calendar

Edinburgh univ - 1868
...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...equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. 6. If a straight line touch a circle,...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868
...child go ? 11. 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. Where does Euclid afterwards use this proposition? 12. To inscribe a square in a...

Report of the commissioners, Τόμος 6

Schools inquiry commission - 1868
...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...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 of the two numbers...

Papers for the schoolmaster, Τόμος 4

1868
...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 by the whole...part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the acute angles to the...

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

Robert Potts - 1868 - 410 σελίδες
...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...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the...

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

Euclides - 1870
...and 7952.4-2.5= 7949.9, the earth's diameter. PBOP. 7. — THEOB. If a st. line be divided into any two parts, the squares of the whole line and of one...contained by the whole and that part, together with a square of the other part. Cons.— 46. I., Pst. 1 and 31. I. DEM. — 43. I., AM. 2 and 6, Def. 30....

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871
...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...by the whole and that part together with the square on the other part. s Let AB be divided into any two parts in C. Then must sqq. on AB, BC— twice rect....

The Edinburgh university calendar

Edinburgh univ - 1871
...demonstration so as to bring out distinctly the property of straightness to which you appeal. tained by the whole and that part together with the square of the other part. 4. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting...




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