The Elements of Solid Geometry
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In our eReader you can find the full English version of the book. Read The Elements of 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 The Elements of Solid Geometry
What reading level is The Elements of Solid Geometry book?
To quickly assess the difficulty of the text, read a short excerpt:
Draw the straight lines AO, BO, AP, and BP.
Now, in the triangles AOP and BOP, the angle AOP equals the angle BOP (4) ; the side AO equals the side BO (175) ; and OP is common to the two triangles ; hence, the triangles are equal and homologous parts AP and BP are equal. Then the arc AP equals the arc BP (374). In like manner we may prove that the arc AP' equals the arc BP'.
Q. E. D.
52 THE ELEMENTS OF SOLID GEOMETRY.
177. Scholium. Tlie distance from the pole of a circle of a sphere to a point... in its circumference is called tlie polar distance of the circle.
178. Corollary 1. The iwlar distances of two equal circles of the same or equal spheres are equal.
For, the diameters of equal circles of a sphere are chords of equal arcs of great circles, each of these equal arcs being twice the polar distance of one of these equal circles.
179. Corollary 2. The polar dis- tance of a great circle is a quadrant.
For, AOP is a right angle (174); hence arc AP which is the measure of AOP is a quadrant.
What to read after The Elements of Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Bartol, William C to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Draw the straight lines AO, BO, AP, and BP.
Now, in the triangles AOP and BOP, the angle AOP equals the angle BOP (4) ; the side AO equals the side BO (175) ; and OP is common to the two triangles ; hence, the triangles are equal and homologous parts AP and BP are equal. Then the arc AP equals the arc BP (374). In like manner we may prove that the arc AP' equals the arc BP'.
Q. E. D.
52 THE ELEMENTS OF SOLID GEOMETRY.
177. Scholium. Tlie distance from the pole of a circle of a sphere to a point... in its circumference is called tlie polar distance of the circle.
178. Corollary 1. The iwlar distances of two equal circles of the same or equal spheres are equal.
For, the diameters of equal circles of a sphere are chords of equal arcs of great circles, each of these equal arcs being twice the polar distance of one of these equal circles.
179. Corollary 2. The polar dis- tance of a great circle is a quadrant.
For, AOP is a right angle (174); hence arc AP which is the measure of AOP is a quadrant.
What to read after The Elements of Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Bartol, William C to read onlineMoreLess
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