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

Euclides, James Hamblin Smith - 1872 - 349 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
...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
...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
...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...

## Pure Mathematics, Τόμος 1

Edward Atkins - 1874
...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 in the point C; PROPOSITIONS....

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

Braithwaite Arnett - 1874
...required. 1. 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. 2. Describe a square that shall be equal to a given rectilineal figure. If a square...

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

Euclides - 1874
...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...

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

Euclides - 1874
...— 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...

## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...triangle ARB, &c.) 2. If a straight line be divided into any two parts, the squares ou the whole line and one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. 1. Find the GCM of 24z* — 22x3 + 5 and 48.Z* + 16z2 — 15, and = 6} za; , , reduce...

## Examination Christmas,1875

...polygon. 3. 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. Produce a given line so that the rectangle contained by the whole line thus produced...