Plane And Solid Geometry
Plane And Solid Geometry
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In our eReader you can find the full English version of the book. Read Plane And Solid Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Plane And Solid Geometry
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All the angles at the center of a circle, being equal to four right angles, are measured by the entire circumference ; and one right angle is measured by a quad- rant, or one quarter of a circumference.
Proposition II.
340. Theorem : An inscribed angle is measured by half of its intercepted arc.
A Statement : Let the circle whose center is be any circle ; 4, any angle inscribed in the circle ; and. B C. its intercepted arc. The angle A is measured by half of B C.
Constmction : Construct the ang...le B OC, at the center.
Demonstration : The angle B C is measured by the arc BC. (Prop, i.. Cor. ii.) The angle B A C is equal to half of the angle BOC. (Book iv., Prop, xvii.) The angle BAC is, then, measured by half of B C. (Axiom vi.) Concliision : The circle whose center is being, etc.
Digitized by Google 222 BOOK VL^MENSURATION : PLANE FIGURES.
Proposition V.
343. Tbeorem: Angles farmed by secants meeting without the circle are measured by half of the differ^ ence of the intercepted arcs* Statement : Let / 2 and 2 d be two secants intersecting without any circle, as at 2.
What to read after Plane And Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Seth Thayer Stewart to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
All the angles at the center of a circle, being equal to four right angles, are measured by the entire circumference ; and one right angle is measured by a quad- rant, or one quarter of a circumference.
Proposition II.
340. Theorem : An inscribed angle is measured by half of its intercepted arc.
A Statement : Let the circle whose center is be any circle ; 4, any angle inscribed in the circle ; and. B C. its intercepted arc. The angle A is measured by half of B C.
Constmction : Construct the ang...le B OC, at the center.
Demonstration : The angle B C is measured by the arc BC. (Prop, i.. Cor. ii.) The angle B A C is equal to half of the angle BOC. (Book iv., Prop, xvii.) The angle BAC is, then, measured by half of B C. (Axiom vi.) Concliision : The circle whose center is being, etc.
Digitized by Google 222 BOOK VL^MENSURATION : PLANE FIGURES.
Proposition V.
343. Tbeorem: Angles farmed by secants meeting without the circle are measured by half of the differ^ ence of the intercepted arcs* Statement : Let / 2 and 2 d be two secants intersecting without any circle, as at 2.
What to read after Plane And Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Seth Thayer Stewart to read onlineMoreLess
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