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Euclid Book II PROP. VII. -- THEOREM.

Euclid Book II PROP. VII. -- THEOREM.

Saturday, Jul 18, 2020

@ Mr. Eric

If a right line (AB) be divided into any two parts (at C), the sum of the squares on the whole line (AB) and either segment (CB) is equal to twice the rectangle (2AB.CB) contained by the whole line and that segment, together with the square on the other segment.

Euclid Book II PROP. VI. -- THEOREM.

Euclid Book II PROP. VI. -- THEOREM.

Friday, Jul 17, 2020

@ Mr. Eric

If a line (AB) be bisected (at C), and divided externally in any point (D), the rectangle (AD.BD) contained by the segments made by the external point, together with the square on half the line, is equal to the square on the segment between the middle point and the point of external division.

Euclid Book II PROP. V. -- THEOREM.

Euclid Book II PROP. V. -- THEOREM.

Wednesday, Jul 15, 2020

@ Mr. Eric

If a line (AB) be divided into two equal parts (at C), and also into two unequal parts (at D), the rectangle (AD.DB) contained by the unequal parts, together with the square on the part (CD) between the points of section, is equal to the square on half the line.

Euclid Book II PROP. I. -- THEOREM.

Euclid Book II PROP. I. -- THEOREM.

Saturday, Jul 11, 2020

@ Mr. Eric

If there be two lines (A, BC), one of which is divided into any number of parts (BD, DE, EC), the rectangle contained by the two lines (A, BC), is equal to the sum of the rectangles contained by the undivided line (A) and the several parts of the divided line.

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