Books Books If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square... Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 89
by Robert Potts - 1860 - 361 pages ## The Elements of Euclid

Euclid - Geometry - 1838 - 416 pages
...part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and...part produced. Let the straight line AB be bisected m C, and produced to the point D ; the rectangle AD, DB, together with the square of CB, is equal to... ## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...difference. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 351 pages
...difference. PROP. VI. THEOR. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...difference. PROP. VI. THEOR. IF a straight line be bisected, and produced to any point : the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equivalent to the square of the straight line which is made up of the... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 pages
...their squares PROP. VI THEOR. If a straight line be bisected, and producedto any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... ## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 352 pages
...other. PROP. VI. THEOR. — If a straight line be bisected, and be produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 199 pages
...double of the square of half the line bisected, and of the square of the line made up of the halfand the part produced. Let the straight line AB be bisected in C, and produced to the point D : the squares of AD, DB are double of the squares of AC, CD. From the point C draw*... ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...equal the square of the part produced. 91- To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 92. To determine a right-angled triangle whose hypothenuse may be... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 317 pages
...r"3> ' '•• * PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... 