# Plane Geometry

Christopher Sower Company, 1901
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### Περιεχόμενα

 INTRODUCTION 13 Geometrical Language 20 Plane Angles 26 LINES ANGLES AND POLYGONS 33 BOOK II 81 2828 91 Practical Examples 98
 29 146 Regular Polygons 211 Circumference and Area 219 Problems of Inscription 232 SECTION I 237 SUPPLEMENTARY PROPOSITIONS 244 Πνευματικά δικαιώματα

### Δημοφιλή αποσπάσματα

Σελίδα 112 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 244 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 60 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Σελίδα 57 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 28 - AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Σελίδα 48 - If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles.
Σελίδα 53 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Σελίδα 183 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 156 - From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.
Σελίδα 179 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.