# The first two books of the Elements of Euclid, with additional figures, notes, explanations, and deductions, by N. Pocock

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### Innhold

 Del 1 1 Del 2 6 Del 3 25 Del 4 71 Del 5 86 Del 6 121 Del 7 122 Del 8 123
 Del 10 Del 11 Del 12 Del 13 Del 14 Del 15 Del 16 Del 17

 Del 9 124
 Del 18

### Populćre avsnitt

Side 18 - If two triangles have two sides of the one equal to two sides of the...
Side 67 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 51 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Side 109 - ... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced.
Side 53 - 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 E iR.
Side 76 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Side 34 - ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight line with CB.
Side 11 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 37 - Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles.