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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 Plane Geometry According to Euclid - Σελίδα 44
των Andrew Bell - 1837 - 240 σελίδες
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 σελίδες
...equivalent to the squares of the two parts, together with twice the rectangle contained by 'the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained...

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

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...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 contained 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
...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
...line he divided into any two part*, the squares of the wJwle line, and of one of the parts, are equal to twice the rectangle contained by the whole and...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
...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 contained by 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...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...are equal to twice the rectangle contained by 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; PROPOSITIONS. For AK=CE. .-. AKF CONSTRUCTION. — TTpon AB describe the square ADEB (I. 46), and join...

Pure Mathematics, Τόμος 1

Edward Atkins - 1874
...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 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; PROPOSITIONS....

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

Euclides - 1874
...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 contained by 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...

Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...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 and that part, together with the square on the other part. 2. Describe a square that shall be equal to a given rectilineal figure. If a square...

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

Euclides - 1874
...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 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...




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