# The Elements of Euclid: With Many Additional Propositions, & Explanatory Notes, Etc, Del 1

John Weale, 1853 - 136 sider

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### Innhold

 Del 1 1 Del 2 3 Del 3 6 Del 4 9 Del 5 20 Del 6 26 Del 7 28 Del 8 30
 Del 14 64 Del 15 69 Del 16 75 Del 17 79 Del 18 80 Del 19 81 Del 20 83 Del 21 85

 Del 9 38 Del 10 43 Del 11 44 Del 12 52 Del 13 62
 Del 22 106 Del 23 113 Del 24 118 Del 25 119 Opphavsrett

### Populære avsnitt

Side 24 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 114 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Side xiv - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle.
Side 13 - The difference between any two sides of a triangle is less than the third side.
Side 111 - AFC. (in. 21.) Hence in the triangles ADE, AFC, there are two angles in the one respectively equal to two angles in the other, consequently, the third angle CAF is equal to the third angle DAB ; therefore the arc DB is equal to the arc CF, (in.
Side 89 - ... the centre of the circle shall be in that line. Let the straight line DE touch the circle ABC in C, and from C let CA be drawn at right angles to DE ; the centre of the circle is in CA.
Side 70 - EQUAL circles are those of which the diameters are equal, or from the centres of which the straight lines to the circumferences are equal. ' This is not a definition, but a theorem, the truth of ' which is evident; for, if the circles be applied to one ' another, so that their centres coincide, the circles ' must likewise coincide, since the straight lines from
Side 34 - To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle.
Side 22 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...