 | Braithwaite Arnett - 1874 - 130 pages
...of each complement ? 3. If a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part...double of the square on half the line bisected, and the square on the line made up of the half and the part produced. 4. Of all straight lines in a circle... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...produced, together with the square on half the line bisected, is equal to the square on the slraiyht line made up of the half and the part produced. Let...straight line AB be bisected in C and produced to D, the rectangle contained by |L the whole line AD, and the part DB, together with the square on CB,... | |
 | Euclides - 1874 - 342 pages
...together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in 0, and produced to the point 1). Then the rectangle AD, DB, together with the square on CB, shall be... | |
 | Edward Atkins - 1874 - 428 pages
...Proposition 10. — Theorem. If a straight line be bisected and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are toyclhcr double of the square on half the line bisected, and of the square mi t/ie line made up of... | |
 | Edward Atkins - 1874 - 426 pages
...thus produced, and the square on the irt of it produced, are together double of the square on half e line bisected, and of the square on the line made up of the ilfand the part produced. Let the straight line AB be bisected in C, and produced to D ; AD»+DE* The... | |
 | Edward Atkins - 1876 - 130 pages
...Proposition 10. — Theorem. If a straight line be bisected and produced to any point, the square on the whole line thus produced, and the square on the part...straight line AB be bisected in C, and produced to D ; The squares on AD and DB shall be together double of the squares on AC and CD. CONSTRUCTION. —... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...PROPOSITION X. THEOREM. If a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part...made up of the half and the part produced. Let the st. line AB be bisected in C and produced to D. Then must »um,of sqq. on AD, BD=twice sum ofsqq. on... | |
 | Richard Wormell - 1876 - 268 pages
.... . . . . . --156 lo. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part...the line made up of the half and the part produced. . . ..156 A. If one side of a triangle be bisected, the sum of the squares on the other two sides is... | |
 | Henry Major - 1876 - 784 pages
...square on half the line. 3. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part...produced, are together double of the square on half tbe line bisected, and of the square on the line made up of the half and the part produced. , TJ A... | |
 | Euclides - 1878 - 398 pages
...PROPOSITION X. THEOREM. // a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part...the line made up of the half and the part produced. IA. Let the st. line AB be bisected in C and produced to D. Them, must sum, of sqq. on AD, BD=twice... | |
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If a straight line be bisected and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square on the line made up of the... 
