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" 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 made up of the... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 52
των Robert Simson - 1781 - 466 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. LET the straight line ab be bisected in С and produced to the point d; the squares of ad, db are double of...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D : the squares of AD, DB are double of...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D; the squares of AD, DB, are double of...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...produced and the part of it produced shall be double of the squares of half the bisected line, and the line made up of the half and the part produced. Let the straight line AB be bisected in c, and produced to D. Then the squares of AD, DB shall be double of...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in С, and produced to the point D. - The squares of AD and DB, are together...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 σελίδες
...the part of it produced, together with the square of half the line bisected, is equal to the square of the line made up of the half and the part produced. Let AB (Fig. 41) be bisected in C, and produced to D. The rectangle AD, DB, together with the square of...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 σελίδες
...square of the part of it produced, are together double of the square of half the line and of the square of the line made up of the half and the part produced. CONS.— 11. I., 3. I., 31. I., Pst. 1. DEM.— 29. I., Ax. 9. Ax. 12. If a st. line meet two Bt. lines,...

Skeleton propositions &c. of Euclid, books i and ii, with ..., Τόμος 2

Euclides - 1858 - 136 σελίδες
...square of the part of it produced are together double of the square of half the line and of the square of the line made up of the half and the part produced. Cos. 11. I, 3. I, 01. I, Tst 1. DEM. 29. I, Ax. 0. 12. 5. I, 82. I, 16. I, 6. I, 44. T, 36. I, 47....

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...part of it produced, are together double of the square on half the line bisected, and of the sguart on the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D. Then the squares on AD, DB, shall be...




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