 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 contained by the whole and that part, together with the square on the other part.  Euclid's Elements of Geometry - Page 148edited by - 1895 - 657 pagesFull view - About this book
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...for a given parallelogram, can have ? Ii. 11. Divide a given straight line into two parts such that the squares on the whole line and on one of the parts shall be together double of the square on the other part. 1867. in. 22. If the chords, which bisect... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...larger, in the sixth, the latter. PBOPOSITION VTI. If a straight 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... | |
 | University of Madras - 1873 - 436 pages
...6hall be equal to a given triangle. V. 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 contained by the whole and that part, together with the square on... | |
 | Edward Atkins - 1874 - 428 pages
...one of the parts are equal to twice the rectangle contained by 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. CONSTRUCTION. — Upon AB describe the square ADEB (I. 46), and join... | |
 | Euclides - 1874 - 120 pages
...the squares on the lines." PROPOSITION 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 contained by the whole and that part, together with the square on... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...that square on BE = rect. (BC, DE) + square on CE. 9. Divide a straight line into two parts so that the squares on the whole line and on one of the parts shall be together equal to three times the square on the other part. 10. Prove that the squares on... | |
 | Euclides - 1874 - 342 pages
...square shall be equal to two given squares. 7. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 8. Show that the difference of the squares of... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...the other part, is equal to the square on the straight line which in made up of the whole and that part. Let the straight line AB be divided into any two parts in C, then shall four times the rectangle contained by AB and BC, together with the square oil AC,... | |
 | Braithwaite Arnett - 1874 - 130 pages
...TRIGONOMETRY). Logarithm books will not be 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 contained by the whole and that part, together with the square on... | |
 | Edward Atkins - 1876 - 130 pages
...of ike parts are equal to twice the rectangle contained by the wJuile and that part, together with the square on the other part. Let the straight line AB be divided into any two parts iu the point C; The squares on AB and BC shall be equal to twice the rectangle AB; BC, together with... | |
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