| Euclides - 1871 - 136 páginas
...with sq. on CD = AH together with LG = sum of AL and CH and LG = sum of DF and CH and LG = sq. on CB. **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... | |
| Euclid, Charles Peter Mason - 1872 - 216 páginas
...the Qs on AD and DB is equal to twice the Q on AC together with twice the Q on C D. PBOPOSITION X. **If a straight line be bisected and produced to any point, the square on the whole line thus** formed together with the square on the produced part, is equal to twice the square on half the line... | |
| Benjamin Hallowell - 1872 - 286 páginas
...side to which it is parallel in the triangle ABC, and each rhombus is half of ABC. THEOREM II. — **If a straight line be bisected and produced to any point, the** rectangle of the whole line thus produced and the part produced, with the square of half the line bisected,... | |
| Euclides, James Hamblin Smith - 1872 - 376 páginas
...sutn of AL and CH and LG = sum of DF and CH and LG sq. on CB. QED B. £ L PROPOSITION VI. THEOREM. **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... | |
| Henry Major - 1873 - 588 páginas
...lines AC, CD, is equal to the rectangle contained by their sum AD and their difference DB. VI. — **If a straight line be bisected, and produced to any point . the** rectangle contained by the whole line thus produced, and the part produced, together with the square... | |
| 1874 - 682 páginas
...methods given for their solution. 5. 1-х -}-' x=~—; find the values of x. 7? 1U Geometry — 1. **If a straight line be bisected, and produced to any...double of the square on half the line bisected, and** of the square on the line made up of the half and the part produced. 2. To a given straight line apply... | |
| Euclides - 1874 - 120 páginas
...squares on AC, CD. Therefore, if a straight line, &c. QED PROPOSITION 10. THEOREM. If a straight line 6« **bisected, and produced to any point, the square on...double of the square on half the .line bisected and** of the square on the line made up of the half and the part produced. j Let the straight line AB be... | |
| Edward Atkins - 1874 - 428 páginas
...squares on AC and CD. ="<ACH Therefore, if a straight line, &c. QED CDa) Proposition 10. — Theorem. **If a straight line be bisected and produced to any...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... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 páginas
...square on AC, and twice the square on CD. QED PIIOP. X.— THEOREM. (Euc. II. 10). JJ a straight lino **be bisected and produced to any point, the square...whole line thus produced, and the square on the part** produced, are equal to twice the square on half the line bisected, togetJier with twice the square... | |
| Edward Atkins - 1874 - 426 páginas
...squares on AC and CD. =^(A.CH Therefore, if a straight line, &c. QED CD2) Proposition 10. — Theorem. **If a straight line be bisected and produced to any point, the** 'uare on the whole line thus produced, and the square on the irt of it produced, are together double... | |
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