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" ... 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 ... - Σελίδα 80
των Euclid - 1776 - 264 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

Euclid - 1835 - 540 σελίδες
...are in one straight a 14. i. 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 FE is another...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...BG are in one straight line (2. 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 parallelogram AB is equal to BC, and that FE is another...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...are in one straight line (1. 14) ; 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 AE . because the parallelogram AB is equal to \ \ u BC, and that...

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

Robert Simson - 1838 - 434 σελίδες
...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 parallelogram AB is equal to BC, and that FE is an-...

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

John Playfair - 1842 - 332 σελίδες
...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 FE is another...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 σελίδες
...BG 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 parallelogram AB is equivalent to BC, and that FE is...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 σελίδες
...BG are • ui in one 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 : t Hyp. And because the parallelogram AB is equal to BCf, and that FE...

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

Euclides - 1853 - 176 σελίδες
...bg are in one straight line (i. 14). 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 another...

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

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...BG are in one straight line (14. i.). 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 (Hyp.}, and that FE...




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