Prnciples of Plane Geometry
Prnciples of Plane Geometry
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When do circles touch each other internally? When externally ?
30 PLANE GEOMETRY.
157. When is an angle inscribed in a circle? in. (/\ 158. When is an angle inscribed in a segment ? m.
159. When is a polygon inscribed in a circle ? m.
a. What is the relation of the circle to the polygon } 160. When is a circle inscribed in a polygon ? in.
a. What is the relation of the polygon to the circle ?
161. What are concentric circles? Illustration.
162. When will circles be equal?
163. What is an angle ...at the centre ?
Proposition I. A Theorem.
164. The diameter of a circle is an axis of symmetry.
Corollary. The diameter bisects the circle and its cir- cumference.
Proposition li. A Theorem.
165. A straight line cannot intersect the circumference of a circle at more than two points.
See Book I. , Proposition XVI. , Corollary.
Proposition III. A Theorem.
166. The diameter is longer than any other chord.
BOOK III. 31 Proposition IV. A Theorem.
167. In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and conversely, if the chords are equal, the arcs also are equal.
What to read after Prnciples of Plane Geometry?
You can find similar books in the "Read Also" column, or choose other free books by J W James Wallace Macdonald to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
When do circles touch each other internally? When externally ?
30 PLANE GEOMETRY.
157. When is an angle inscribed in a circle? in. (/\ 158. When is an angle inscribed in a segment ? m.
159. When is a polygon inscribed in a circle ? m.
a. What is the relation of the circle to the polygon } 160. When is a circle inscribed in a polygon ? in.
a. What is the relation of the polygon to the circle ?
161. What are concentric circles? Illustration.
162. When will circles be equal?
163. What is an angle ...at the centre ?
Proposition I. A Theorem.
164. The diameter of a circle is an axis of symmetry.
Corollary. The diameter bisects the circle and its cir- cumference.
Proposition li. A Theorem.
165. A straight line cannot intersect the circumference of a circle at more than two points.
See Book I. , Proposition XVI. , Corollary.
Proposition III. A Theorem.
166. The diameter is longer than any other chord.
BOOK III. 31 Proposition IV. A Theorem.
167. In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and conversely, if the chords are equal, the arcs also are equal.
What to read after Prnciples of Plane Geometry?
You can find similar books in the "Read Also" column, or choose other free books by J W James Wallace Macdonald to read onlineMoreLess
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