The Elements of GeometryJ. Wiley & Sons, 1885 - 366 σελίδες |
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Σελίδα vi
... Spherical Geometry on the lines of my teaching , which I have followed in Book IX . The figures , which I think give this geometry a special advantage , owe all their beauty to my colleague , Professor A. V. Lane , who has given them ...
... Spherical Geometry on the lines of my teaching , which I have followed in Book IX . The figures , which I think give this geometry a special advantage , owe all their beauty to my colleague , Professor A. V. Lane , who has given them ...
Σελίδα xiii
... spheres . PAGE 243 , 244 • 611,612 . Point and sphere 619 . • 613,614 . Plane and sphere 615,616 . Great circle and small circle 617 , 618. Poles and axis 620-624 . Great circles and small cir- 240 633-639 . 240 640 , 641 . 240 , 241 245 ...
... spheres . PAGE 243 , 244 • 611,612 . Point and sphere 619 . • 613,614 . Plane and sphere 615,616 . Great circle and small circle 617 , 618. Poles and axis 620-624 . Great circles and small cir- 240 633-639 . 240 640 , 641 . 240 , 241 245 ...
Σελίδα xiv
... spherical lines intersect Loci • • PAGE 270,271 272 , 273 274-280 Symmetrical triangles equiva- ARTICLE 655 . Introduction . • Two - dimensional definition of the sphere • • 704 . 258 705-707 . • 272 • 259 720 , 721 . 280 , 281 259-261 ...
... spherical lines intersect Loci • • PAGE 270,271 272 , 273 274-280 Symmetrical triangles equiva- ARTICLE 655 . Introduction . • Two - dimensional definition of the sphere • • 704 . 258 705-707 . • 272 • 259 720 , 721 . 280 , 281 259-261 ...
Σελίδα xv
... sphere . Zone PAGE 323-325 • · 325 326 326-329 • • 330 • 331 811-813 . Area of sector and sector of 833 . annulus ... spherical triangle or 842. Spherical pyramid • 333 polygon . • · 336 THE MEASUREMENT OF VOLUMES . 337 869 , 870 ...
... sphere . Zone PAGE 323-325 • · 325 326 326-329 • • 330 • 331 811-813 . Area of sector and sector of 833 . annulus ... spherical triangle or 842. Spherical pyramid • 333 polygon . • · 336 THE MEASUREMENT OF VOLUMES . 337 869 , 870 ...
Σελίδα 239
... Sphere . 606. The fixed end point is called the Center of the sphere . ㄗ ˋ F B H G 607. The moving sect in any position is called the Radius of the sphere . 608. As the motion of a sect does not change it , all radii are equal . 609 ...
... Sphere . 606. The fixed end point is called the Center of the sphere . ㄗ ˋ F B H G 607. The moving sect in any position is called the Radius of the sphere . 608. As the motion of a sect does not change it , all radii are equal . 609 ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD alternate angles angles are equal angles equal angles opposite base bisect called chord circumcenter coincide common commutative law CONCLUSION construction COROLLARY diagonal diameter divided draw end point equal are congruent equal sects equiangular equilateral equivalent exterior angle figure given line given point given sect greater greatest common divisor hypothenuse HYPOTHESIS included angle inscribed inscribed angle intercepted interior isosceles triangle less line perpendicular magnitudes meet multiples number of sides pair parallelogram pass perigon perimeter perpendicular bisector plane MN PROOF proportional quadrilateral radii radius ratio rectangle rectangle contained regular polygon respectively equal right angle Rule of Inversion sect joining segment sphere spherical polygon spherical triangle square straight angle subtended surface symmetrical tangent tetrahedron THEOREM THEOREM VII transversal triangles are congruent vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 44 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 112 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Σελίδα 190 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 270 - BC with the same radius. Then a line through A touching this arc will be the required parallel. Or, use a straight edge and triangle.
Σελίδα 101 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Σελίδα 266 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Σελίδα 13 - An Acute Angle is one which is less than a right angle.
Σελίδα 104 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Σελίδα 107 - In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either side and the projection on it of the other side.