Books Books
... reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms which have the angles at B equal, and let the sides DB, BE be placed in the same straight line ; wherefore also FB, BG are in one straight line (2.
The Elements of Euclid: In which the Propositions are Demonstrated in a New ... - Page 80
by Euclid - 1776 - 264 pages

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

Robert Simson - Trigonometry - 1775 - 520 pages
...alfo FB, BG are in one ftraight line1 : The fides of the parallelograms AB, BC about the equal angles, are reciprocally proportional ; that is, DB is to BE, as GB to BF. Complete the parallelogram FE ; and becaufe the parallelogram AB is equal to BC, and . ---- that FE...

## The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 318 pages
...at B equal ; and let the fides DB, BE, be in one right line, and FB, BG, in another; then the iides DB, BE, and GB, BF, that are about the equal angles...parallelogram AB is to EF, fo a 7. s- is BC to FE a; but, as AB is to FE, fo is the bafe DB to BE b; *^ '• and, as BC is ro FE, fo is GB to BF a ;...

## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 pages
...FB, BG are in one ftraight line * : The fides of the parallelograms AB, BC about the equal angles, are reciprocally proportional ; that is, DB is to BE, as GB to BF. Complete the parallelogram FE ; and becaufe the parallelogram AB is equal to BC, and that FE is another...

## Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 444 pages
...are in one ftraight line» : the fides of the parallelograms AB, BC about the e- »14-jqual angles, are reciprocally proportional ; that is, DB is to BE, as GB to BF. Complete the parallelogram FE ; and becaufe the parallelogram AB is equal to BC, and that FE is another...

## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...FB, BG are in one ftraight line »..the fides of the parallelograms AB, BC about the equal angles, are reciprocally proportional ; that is, DB is to BE, as GB to BF. Complete the parallelogram FE; and becaufe the parallelogram AB is equal to BC, and that FE is another...

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

Euclides - 1816 - 528 pages
...are in one •14. 1. straight line". The sides of the parallelograms AB, BC about the equal angles, are reciprocally proportional; that is, DB is to BE, as GB to BF. Complete the parallelogram FE ; and because the parallelogram AB is equal to^ ~£ BC, and that FE is...

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

John Playfair - Euclid's Elements - 1819 - 333 pages
...are in one straight line (14. 1.) : the sides of the parallelograms AB, BC, about the equal angles, are reciprocally proportional ; that is, DB is to BE, as GB to BF. Complete the parallelogram FE ; and because the parallelograms AB, BC are equal, and F£ is another...

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

John Playfair - 1819 - 317 pages
...are in one straight line (14. 1.) : the sides of the parallelograms AB, BC, about the equal angles, are reciprocally proportional ; that is, DB is to BE, as GB to V BF. Complete the parallelogram FE ; and because the parallelog AB, BC are equal, and FK is another...