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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... "
Skeleton propositions &c. of Euclid, books i and ii, with references, by H ... - Σελίδα 95
των Euclides - 1858
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Papers for the schoolmaster, Τόμος 4

1868 - 344 σελίδες
...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 - 434 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 - 270 σελίδες
...or141*141 = li8— = 7952.4 miles; 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...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 - 136 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...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....

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...VII. THEOREM. If a straight line be dirided into any two parts, the squaret 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. l» TM Let AB be divided into any two parts in C. Then imist *qq. on AB, BC= twice...

The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square on the other part. The propositions required for the construction and proof in this proposition are...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...the square of CD. VII. — If a straight line he divided into any two part*, the squares of the wJwle line, and of one of the parts, are equal to twice...part, together with the square of the other part. Let AB be divided into any two parts in C. Then the squares of AB, BC, are equal to twice the rectangle...

The Madras University Calendar

University of Madras - 1873 - 436 σελίδες
...If a straight line be divided into any two parts, prove that 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. VI. From any point D in the side CA of a right-angled triangle ABC, of which C is...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...— 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 in the point C. Then the...

A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 σελίδες
...7. THEOREM. If a straight line l>e 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...




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