...angles ; * therefore AB \ D is parallel (27.1.) to CD. Where- N fore straight lines, &c. QED PROP. XXXI. PROB. To draw a straight line through a given point...given point, and BC the given straight line, it is re. quired to draw a straight line « through the point A, parallel — — — • -"= to the straight...

...angles ; therefore AB is parallel b to CD. Where- b 27. 1. fore, " straight lines," &c. QED PROP. XXXI. PROB. To draw a straight line through a given point...straight . „ line through the point A, parallel EA JP_ to the straight line BC. ~' In BC take any point D, and join AD ; and at the point A, in the...

...side was less than the perpendicular let fall from the point A on the straight line BC. PROP. XIII. PROB. To draw a straight line through a given point...point, and BC the given straight line, it is required A to draw a straight line through the point A, parallel to the straight line BC. In BC take any point...

...B. 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. a 1. Post. From the point A to B draw a the straight...

...alternate angles ; thereb 27. 1. fore AB is parallel b to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROB. To draw a straight line through a given point...and BC the given straight line ; it is required to A draw a straight line jg through the point A, parallel to the straight line BC. g ^ In BC take any...

...parts, into eight, into sixteen, and so ri" • PROBLEM VI. V...-- Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. 3 From the point A as a centre, with a radius greater than the shortest distance from A to BC,...

...the given straight line AB. PROPOSITION II. PROBLEM. 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 (Post. 1.) the straight...

...described one on each side of it. PROP. II. PROB. FUOM 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 A a straight line equal to BC. From the point A to B draw (I. post. 1.) the straight line AB;...

...and they are alter- \K nate angles ; therefore AB is parallel C \ T\ (27. 1.) to CD. \ ** PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. 30 E In BC take any point D, and join AD ; and at the point A, in the straight line AD, make (23. 1.)...

...two straight lines which shall both be parallel to the same .wght line. PROPOSITION XXXI. Problem. To draw a straight line / through a given point parallel to a g - f, given straight line. PROPOSITION XXXII. Theorem. If a side of any triangle be produced, the...