Solid Geometry
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In our eReader you can find the full English version of the book. Read 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 Solid Geometry
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5. 324.
6. 908, g.
7. 913.
8. 956.
9. 957, 6.
10. By steps simi- lar to 8-9.
11. 54, 2.
BOOK IX 439 PROPOSITION XVI. THEOREM 959. In equal spheres, or in the same sphere, two spheri- cal triangles are symmetrical, and therefore equivalent : I. If a side and the two adjacent angles of one are equal respectively to a side and the two adjacent angles of the other ; II. If two sides and the included angle of one are equal respectively to two sides and the included angle of the other; III. If the th...ree sides of one are equal respectively to the three sides of the other : provided the equal parts are arranged in reverse order. The proofs are left as exercises for the student. HINT. In each of the above cases prove the corresponding trihedral A symmetrical ( 709) ; and thus show that the spherical & are symmetrical.
Ex. 1526. The bisector of the angle at the vertex of an isosceles spherical triangle is perpendicular to the base and bisects it.
Ex. 1527. The arc drawn from the vertex of an isosceles spherical triangle to the mid-point of the base bisects the vertex angle and is per- pendicular to the base.
What to read after Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by C a Clara Avis Hart to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
5. 324.
6. 908, g.
7. 913.
8. 956.
9. 957, 6.
10. By steps simi- lar to 8-9.
11. 54, 2.
BOOK IX 439 PROPOSITION XVI. THEOREM 959. In equal spheres, or in the same sphere, two spheri- cal triangles are symmetrical, and therefore equivalent : I. If a side and the two adjacent angles of one are equal respectively to a side and the two adjacent angles of the other ; II. If two sides and the included angle of one are equal respectively to two sides and the included angle of the other; III. If the th...ree sides of one are equal respectively to the three sides of the other : provided the equal parts are arranged in reverse order. The proofs are left as exercises for the student. HINT. In each of the above cases prove the corresponding trihedral A symmetrical ( 709) ; and thus show that the spherical & are symmetrical.
Ex. 1526. The bisector of the angle at the vertex of an isosceles spherical triangle is perpendicular to the base and bisects it.
Ex. 1527. The arc drawn from the vertex of an isosceles spherical triangle to the mid-point of the base bisects the vertex angle and is per- pendicular to the base.
What to read after Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by C a Clara Avis Hart to read onlineMoreLess
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