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" 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 29
των Euclid, John Playfair - 1853 - 317 σελίδες
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...AB. Which was required to be done. PROP. II. PROS. From a given point to dram 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 line...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 σελίδες
...line CD will divide the angle ACB into two equal parts. PROBLEM VI. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From the point A as a centre, with a radius greater than the shortest distance from A to BC,...

Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - 1849 - 156 σελίδες
...raised and let fall by a square, or other suitable instrument. 11. Through a given point to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From the point A, as a centre, with a radius greater than the shortest distance from A to BC,...

Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850 - 790 σελίδες
...Section 2. 1. Show that any two angles of a triangle are together less than two right angles. •2. Draw a straight line through a given point parallel to a given straight line. 3. Show that in any risht-angled triangle, the square which is described upon the side subtending the...

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...solids, and is called a tetrahedron."] PEOP. 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 L From the point A to B draw a the straight line...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 σελίδες
...four equal parts, into eight, into sixteen, and so on. PEOBLEM VI. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From the point A as a centre, | with a radius greater than the shortest distance from A to .5(7,...

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

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...AB is parallel (27. i.) to CD. Wherefore, straight lines, etc. QED PROPOSITION XXXI. PROS. To draw a straight line through a given point parallel to...through the point A, parallel to the straight line BC. "7 In BC take any point D, and join AD ; and at / the point A, in the straight line AD, make (23. I.)...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...therefore AB is parallel (i. 27) to CD. Which was to be proved. /KH A. r / 0 D PEOP. XXXI. PEOB. To draw a straight line through, a given point parallel to...BC the given straight line. It is required to draw through A a straight line parallel to BC. In BC take any point D ; EA and join AD. At the point 7 A...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...straight line AB. Which was to be done. PROP 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 line...

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

Euclides - 1853 - 176 σελίδες
...parallel (i. 27) to Сd; / 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 b С the given straight line ; it is required to draw a straight liae through the point a, parallel...




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