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... Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Page 109by Euclides - 1879Full view - About this book
| Euclides - 1871 - 136 pages
...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 - Geometry - 1872 - 216 pages
...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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...with LG = 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... | |
| Benjamin Hallowell - Geometry - 1872 - 286 pages
...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,... | |
| Henry Major - Student teachers - 1873 - 588 pages
...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... | |
| Edward Atkins - 1874 - 428 pages
...of the 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...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.) - Geometry - 1874 - 236 pages
...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... | |
| Euclides - 1874 - 342 pages
...is equal to the rectangle contained by their sum (AD) and their difference (DB). PROPOSITION 6. — **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... | |
| Braithwaite Arnett - 1874 - 130 pages
...it. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. **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... | |
| Euclides - 1874 - 120 pages
...Having given the sum and difference of two lines it is required to determine the lines. PROPOSITION 6. **THEOREM. If a straight line be bisected, and produced to any point,** t7ie rectangle contained by the whole line thus produced, and the part of it produced, together with... | |
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