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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... Elements of Plane Geometry According to Euclid - Σελίδα 44
των Andrew Bell - 1837 - 240 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Report on the examination for admission to the Royal military academy at ...

...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 of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed. 16. If four straight... ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...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. 4. When are circles said to touch one another ? One circle cannot touch another... ## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...line be divided into any two parts, the squares on the wlutle 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. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight... ## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) Let the straight line AB be divided into any two parts in C. Then the square of AB shall be equal to the squares of AC, CB, together with twice the rectangle... ## Papers Read at the Royal Institute of British Architects

1863
...straight line be divided into any two parts the squares of the whole line, and 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 : Prove this by Euclid's demonstration, and also (if there be time) algebraically. 11. Proposition... ## Responsions

University of Oxford - 1863
...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. 9. Divide a given straight line into two parts, so that the rectangle contained... ## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...whole line (AB), and of one of the parts (BC) are equal to twice the rectangle (AB, BC) contained bg the whole and that part, together with the square of the other part (AC). Upon AB describe the square AE (I. 46) and join BD. Through through G draw HGK parallel to AB... ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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... ## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...the whole and each of the parts, are together equal to the square on the whole line. Ioint C. conLet the straight line AB be divided into any two parts in the poi: Then the rectangle contained by AB, BC, together with that tained by AH, AC, shall be equal to... ## Report of the Secretary for Public Instruction ...

...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. Give Euclid's demonstration of this proposition ; also, prove it algebraically....