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 Books Bücher 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... The synoptical Euclid; being the first four books of Euclid's Elements of ... - Seite 52
von Euclides - 1853
Vollansicht - Über dieses Buch ## The Elements of Geometry

George Bruce Halsted - 1886 - 394 Seiten
...it produced, together with the square on half the sect bisected, is equivalent to the square on the line which is made up of the half and the part produced. 299. By 294, (a + by + a* = a* + 2ab + b* + «*. By the associative law, a* + 2ab + b* + a* = aa* +...
Vollansicht - Über dieses Buch ## First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 202 Seiten
...sq. on CD + sq. on CB + sq. on CD (by VII.)' = 2 sq. on AC + 2 sq. on CD (---CB = AC) PROP. X. — Let the straight line AB be bisected in C, and produced to D : then, the squares on AD, DB shall be double of the squares on AC, C D. A c BD II ! I By IV., Sq....
Vollansicht - Über dieses Buch ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 354 Seiten
...part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. 5. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite...
Vollansicht - Über dieses Buch ## Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 Seiten
...part of it produced together with the square of half the line bisected is equal to the square of the line which is made up of the half and the part produced : also deduce the geometrical proof of the algebraic formula 5. In a circle the greater chord is nearer...
Vollansicht - Über dieses Buch ## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 Seiten
...the part produced, 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 AB be bisected at C and produced to D ; ACBD K 7TT M GV then rect. AD, DB with sq. on CB=sq. on CD....
Vollansicht - Über dieses Buch ## Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 Seiten
...part of it produced, 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. If ABC be an isosceles triangle, and D be a point on the base BC produced ; show that the difference...
Vollansicht - Über dieses Buch ## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 530 Seiten
...part of it produced, 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. 3. Demonstrate that case of Kuc. II. 13 where the perpendicular falls within the given triangle. 4....
Vollansicht - Über dieses Buch ## Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 102 Seiten
...the part produced, 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. 7. If a straight line be divided into any two parts, the squares on the whole line and on one of the...
Vollansicht - Über dieses Buch ## Euclid's Elements of Geometry, Bücher 1-6

Henry Martyn Taylor - 1893 - 486 Seiten
...and the part of it produced, and 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 at the point C, and produced to the point D : it is required to prove that the sum of the rectangle...
Vollansicht - Über dieses Buch ## Euclid's Elements of Geometry, Bücher 1-6;Bücher 11

Henry Martyn Taylor - 1895 - 708 Seiten
...and the part of it produced, and 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 at the point C, and produced to the point D : it is required to prove that the sum of the rectangle...
Vollansicht - Über dieses Buch