# Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Longmans, Green, and Company, 1880 - 119 σεκΏδερ
0  ώιτιξίρ
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### ‘ι κίμε οι ςώόστερ -”ΐμτανγ ξώιτιξόρ

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### –εώιεςϋλεμα

 ≈μϋτγτα 1 1 ≈μϋτγτα 2 8 ≈μϋτγτα 3 20 ≈μϋτγτα 4 21 ≈μϋτγτα 5 33 ≈μϋτγτα 6 54 ≈μϋτγτα 7 60 ≈μϋτγτα 8 68
 ≈μϋτγτα 11 89 ≈μϋτγτα 12 91 ≈μϋτγτα 13 94 ≈μϋτγτα 14 95 ≈μϋτγτα 15 97 ≈μϋτγτα 16 98 ≈μϋτγτα 17 111 ≈μϋτγτα 18 112

 ≈μϋτγτα 9 72 ≈μϋτγτα 10 80
 ≈μϋτγτα 19 114 ≈μϋτγτα 20 117

### Ργλοωικό αποσπήσλατα

”εκΏδα 48 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
”εκΏδα 88 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
”εκΏδα 14 - To draw a straight line at right angles to a given straight line, from a given point in the same.
”εκΏδα 36 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
”εκΏδα 64 - 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.
”εκΏδα 108 - In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B an acute angle; and on BC one of the sides containing it, let fall the perpendicular...
”εκΏδα 47 - 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.
”εκΏδα 104 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
”εκΏδα 52 - The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
”εκΏδα 20 - If, at a point in a straight line, two other straight lines upon the opposite sides of it, make the adjacent angles, together equal to two right angles, these two straight lines shall be in one and the same straight line.