Libros Libros If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. The student's guide to the University of Durham, with information respecting ... - Página 136
1880 - 144 páginas
Vista completa - Acerca de este libro ## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...restriction of the number of parts to two is unnecessary. PROP. III. THEOR. If a straight line be dieided into any two parts, the rectangle contained by the...contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into any two parts in the point C : the...
Vista completa - Acerca de este libro ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...the sum of the rectangles contained by the whole line and each of its parts. ED f B PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whole line and either of its parts, is equal to the square of that part, together with the rectangle under...
Vista completa - Acerca de este libro ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 páginas
...rectangle AB, BC, is equal to the square of AB. If therefore a straight line, &c. QED PROP. III. THEOR. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into any two parts in the point C; the rectangle...
Vista completa - Acerca de este libro ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...rectangle AB, BC, is equal to the square of A B. If therefore a straight line, &c. QED PROP. III. THEOR. IF a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into two parts in the point c : the rectangle...
Vista completa - Acerca de este libro ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 páginas
...multiplying both members of this equality by a, we shall have a~=ab+ad FE J o \$ DEC K JL B PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by tke whole and one of the parts, is equal to the rectangle contained by the two parts, together with...
Vista completa - Acerca de este libro ## The British Annals of Education for ...: Being The Scholastic ..., Volumen1

1844
...squares described upon the other two sides of it, the angle contained by these two is a right angle. 6. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. 7. Describe a square equal to a given rectilineal figure. 8. Find the centre...
Vista completa - Acerca de este libro ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...AB, BC is equal to the square of AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then...
Vista completa - Acerca de este libro ## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 páginas
...them, instead of being established by continual appeals to original principles. PROP. III. THEOR. — If a straight line be divided into any two parts,...by the whole and one of the parts, is equal to the square of that part, together with the rectangle contained by the two parts. Let the straight line...
Vista completa - Acerca de este libro ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 páginas
...straight line, &c. QED CB FE BOOK II. PROP. m. IV. • 46. 1. t 31. 1. PROPOSITION III. THEOK. — If a straight line be divided into any two parts,...rectangle contained by the whole and one of the parts, w equal to the rectangle contained by the two parts, together with the square of the aforesaid part....
Vista completa - Acerca de este libro ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 páginas
...multiplying both members of this equality by a, we shall have as=ab+ad FE K JL H PROP. III. THEOR. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into two parts, in the point C ; the B rectangle...
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