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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850
...the whole line. 2. If a right line be divided into any two parte, the squares of the whole 1 ine and one of the parts, are equal to twice the rectangle contained by the whole and that part, together witli the square of the other part. 3. To describe a square that shall be equal to a given rectilineal...

Papers for the Schoolmaster, Τόμος 1

1851
...squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of one...part, together with the square of the other part. SECTION II. 1. If in a circle two straight lines cut one another, which do not both pass through the...

Papers for the schoolmaster, Τόμοι 1-6

...equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line, and of one of the parts, are equal to twice...part, together with the square of the other part. 3. The angles in the same segment of a circle are equal to one another. 4. Upon a given straight line-...

The English Journal of Education, Τόμος 6

1852
...squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of one...part, together with the square of the other part. SECTION II. — 1. If in a circle two straight lines cut one another, which do not pass through the...

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC are equal...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...Wherefore, if a straight line, &c. QED PROPOSITION VII. — THEOREM. If a straight Une be dvmded into any two parts, the squares of the whole line, and of one...part, together with the square of the other part. LET the straight line ab be divided into any two parts in the point С ; the squares of ab, b С are...

Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 σελίδες
...squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of one...part, together with the square of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do not both pass through the...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...Wherefore if a straight line, &c. QED PROPOSITION VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line and of one...parts, are equal to twice the rectangle contained by tke whole and that part, together with the square of the other part. Let the straight line AB be divided...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853
...CD. Which was to be proved. PEOP. VII. THEOE. If a straight line be divided into any two parts: then the squares of the whole line and of one of the parts shall be, equal to twice the rectangle contained by the whole line and that part, together with the...




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