 | Euclid, Charles Peter Mason - 1872 - 216 páginas
...the Ds on AD and DB is equal to twice the П on AC together with twice the П on C D. PROPOSITION 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... | |
 | 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,... | |
 | Robert Johnston (F.R.G.S.) - 1872 - 218 páginas
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 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... | |
 | Benjamin Hallowell - 1872 - 302 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,... | |
 | Henry Major - 1873 - 588 páginas
...to GF, the X.—If a straight line lie bisected, and produced to any point, the square of the wliole line thus produced, and the square of the part of it produced, aro together twice the square of half the line bisected, and of the square of the line made up of the... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 páginas
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 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... | |
 | Braithwaite Arnett - 1874 - 130 páginas
...squares about the diameter are 169 and 625 square feet in area, what is the area 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 of it produced, are together double of the... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 94 páginas
...same side; and also the two interior angles on the same side together equal to two right angles. 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 of it produced, are together double pf... | |
 | Oxford and Cambridge schools examination board - 1874 - 298 páginas
...equal to the rectangle contained by the two parts together with the square on the aforesaid part. 6. 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... | |
 | Euclides - 1874 - 342 páginas
...*/>/> ai-'i If a si CD. If therefore a straight line be divided, &c. QED 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 together double of... | |
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PROP. X. THEOR. If a straight line be bisected, and produced to any point, the square* of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line... 
