Søk Bilder Maps Play YouTube Nyheter Gmail Disk Mer »
Logg på
 Bøker Bok
IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part.
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 53
av Euclides - 1853
Uten tilgangsbegrensning - Om denne boken

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...equal to the rectangle AD, DB : add to each of these LG, which is equal to the square of CB ; therefore the rectangle AD, DB, together with the square of CB, is equal to the gnomon CMG and the figure LG : buf the gnomon CMG and LG make up the whole figure CEFD, which is the...
Uten tilgangsbegrensning - Om denne boken

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 sider
...LG : but the gnomon CMG and LG make up the whole figure CEFD, which is the square of CD; therefore the rectangle AD, DB, together with the square of...to the square of CD. Wherefore, if a straight line, 8cc. QED PROP. VII. THEOR. IF a straight line be divided into any two parts, the squares of the whole...
Uten tilgangsbegrensning - Om denne boken

## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 sider
...CMG and LG make up the whole figure CEFD, which is the square of CD; therefore the rectangle AD,DB, together with the square of CB, is equal to the square...Wherefore, if a straight line, &c. QED PROP. VII. THEOR. IF a straight line be divided into any two parts, the squares of the whole line, and of one...
Uten tilgangsbegrensning - Om denne boken

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
....equal to the rectangle AD, DB : Add to each of these LG, which is equal to the square of CB ; therefore the rectangle AD, DB, together with the square of CB, is equal to the gnomon CMG, and the figure LG ; But the gnomon CMG and LG make up the whole figure CEFD, which is the...
Uten tilgangsbegrensning - Om denne boken

## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819 - 800 sider
...square of the straight line which is made up of the half and. the part produced. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line, ajid of one of the parts, are equal to twice the rectangle contained by the whole and that part, together...
Uten tilgangsbegrensning - Om denne boken

## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 sider
...Let the straight line AB be bisected in C, and produced to the point A B k) ; the rectangle AD.DB, together with the square of CB, is equal to the square of CD. Upon CD describe (46. 1.) the square CEFDJoin DE, and through B draw (31. 1 .) BHG parallel to CE or...
Uten tilgangsbegrensning - Om denne boken

## The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 sider
...together with the D 5 of the line drawn to base is = to the square of the side. PROP. 7, THEOR. Mf a right line be divided into any two parts, the squares of the whole line and either segment are: equal to double the rectangle under the whole line and that segment, together with...
Uten tilgangsbegrensning - Om denne boken

## Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 516 sider
...rectangle ZBD being equal to the rectangle ADB, because ZA is equal to BD and ZB to AD, the rectangle ADB with the square of CB, is equal to the square of CD. Scholium. — A like observation, as is made in the scholium to prop. 3 of this book, is applicable...
Uten tilgangsbegrensning - Om denne boken

## The First Six Books with Notes

Euclid - 1822 - 222 sider
...to the base, equal to the square of the side (2). PROP. VII. THEOR. * Fig. is. If a right line (AB) be divided into any two parts, the squares of the whole line ( AB) and either segment (CB) are together equal to double the rectangle under the whole and that segment,...
Uten tilgangsbegrensning - Om denne boken

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...equal to the rectangle AD, DB : Add to each of these LG, which is equal to the square of CB ; therefore the rectangle AD, DB, together with the square of CB, is equal to the gnomon CMG, and the figure LG ; But the gnomon CMG and LG, make up the whole figure CEFD, which is...
Uten tilgangsbegrensning - Om denne boken