Books Books If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... Elements of geometry, containing the first two (third and fourth) books of ... - Page 86
by Euclides - 1871 ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...and the produced part. .n. . PROP. XI. PROB. To divide a given straight line in such a manner that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. rtl PROP. XII. THEOR. In an obtuse-angled triangle, the... ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...AB, BC, together with the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. Iff a straight line be divided into any two parts, four...line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...rectangle AB, BC, together with the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. IF a straight line be divided into any two parts :...line, and one of the parts, together with the square of the other part, is equivalent to the square of the straight line, which is made up of the whole... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts,...line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the... ## Proceedings

Scotland free church, gen. assembly - 1847 - 552 pages
...other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. 4. The angle in a semicircle is a right angle. 5. Of... ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...together with the square of AC. Wherefore, if a 'straight line, &c. QED PROPOSITION VIII. THEOR. — If a straight line be divided into any two parts,...line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made of the whole and that... ## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...to the square of their difference, together with four tunes their rectangle. PROP. VIII. THEOR. — If a straight line be divided into any two parts, four times the rectangle contained by the whole and one of the parts, together with the square of the other part, is equal to the square of the straight... ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...BC, together with the square of AC. Wherefore, if a straight line, &c. QED PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the reel" angle contained by the whole line, and one of the parts, together with the square of the other... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts,...line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the... 