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 Βιβλία Βιβλία To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through EAF the point A, parallel to the straight line ' Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 27
των Euclid, John Playfair - 1853 - 317 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...AB. Which was required to be done. PROP. II. PROB. FROM a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line ; it is required to draw from the point A a straight line equal to BC. From the point A to B draw a the straight line AB; and... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...Which was required to be done. PROP. II. PROB. • FROM a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line ; it is required to draw from the point A a straight line equal to BC. Book I. d 3. Pott, e U. Def. f 19. Def. g 3. Ax. hi.... ## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...straight lines, &c. Q, ED therefore also AGK is equal to GKD; and they are alterPROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let Abe the given point, and BC the given straight line; it is required to draw a straight ^ A r. line... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...angles; therefore AB is parallel b to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROS. To draw a straight line through a given point parallel to...given straight line; it is required to draw a straight l/ A ' IT line through the point A, parallei to the straight line BC. In BC take any point D, and join... ## An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 436 σελίδες
...another, the figure is a parallelogram. . COR. 1. Hence may be deduced a practical method of drawing a straight line, through a given point, parallel to a given straight line. COR. 2. A rhombus is a parallelogram. PROP. XXIX. (xvH.) • i Every parallelogram which has one angle... ## A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 σελίδες
...DC ; *'. e. the figure ABCD is a O. 27. COR. 1. Hence may be deduced a practical method of drawing a straight line, through a given point, parallel to a given straight line. For, let it be required to draw through the given point B, a straight line parallel to AD : From any... ## Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 σελίδες
...PROBLEMS. . •' <.' ''/:•' . SECT. I. (1.) FROM a given point, to draw the shortest line possible to a given straight line. Let A be the given point, and BD the given line. From A let fall the perpendicular AC; this will be less than any other line AD drawn... ## Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 σελίδες
...triangle. GEOMETRICAL PROBLEMS. SECT. I. (1.) FROM a given point, to draw the shortest line possible to a given straight line. Let A be the given point, and BD the given line. From A let fall the perpendicular AC; this will be less than any other line AD drawn... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 σελίδες
...therefore AB is parallel (27. 1) to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROB. .X To draw a straight line through a given point parallel to...straight line; it is required to draw a straight line EAF through the point A, parallel to the . straight line BC. In BC take any point D, and join AD;andatthepointA,inthest... ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED Proposition XXXI. Problem. To draw a straight line through a given point parallel to...given straight line. Let A be the given point, and BC E л г the given straight line ; it is required .to draw a straight line through the ./^ point A,...