Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Σελίδα vi
... POLYEDRONS PRISMS AND PARALLELOPIPEDS . PYRAMIDS · SIMILAR POLYEDRONS REGULAR POLYEDRONS CYLINDERS CONES 268 284 296 303 304 321 338 342 344 353 THE SPHERE SPHERICAL ANGLES BOOK VIII . THE SPHERE SPHERICAL vi CONTENTS.
... POLYEDRONS PRISMS AND PARALLELOPIPEDS . PYRAMIDS · SIMILAR POLYEDRONS REGULAR POLYEDRONS CYLINDERS CONES 268 284 296 303 304 321 338 342 344 353 THE SPHERE SPHERICAL ANGLES BOOK VIII . THE SPHERE SPHERICAL vi CONTENTS.
Σελίδα vii
Isaac Newton Failor. THE SPHERE SPHERICAL ANGLES BOOK VIII . THE SPHERE SPHERICAL POLYGONS POLAR TRIANGLES SYMMETRICAL SPHERICAL POLYGONS SPHERICAL SURFACES SPHERICAL VOLUMES FORMULAS OF MENSURATION INDEX PAGE 365 374 375 379 382 392 400 ...
Isaac Newton Failor. THE SPHERE SPHERICAL ANGLES BOOK VIII . THE SPHERE SPHERICAL POLYGONS POLAR TRIANGLES SYMMETRICAL SPHERICAL POLYGONS SPHERICAL SURFACES SPHERICAL VOLUMES FORMULAS OF MENSURATION INDEX PAGE 365 374 375 379 382 392 400 ...
Σελίδα 364
... surfaces and their volumes . 1256 Find the edge of a cube equivalent to a right circular cylinder whose diameter is 6 ft . and whose altitude is 10 ft . BOOK VIII THE SPHERE DEFINITIONS 745 A sphere is a 364 SOLID GEOMETRY - BOOK VII.
... surfaces and their volumes . 1256 Find the edge of a cube equivalent to a right circular cylinder whose diameter is 6 ft . and whose altitude is 10 ft . BOOK VIII THE SPHERE DEFINITIONS 745 A sphere is a 364 SOLID GEOMETRY - BOOK VII.
Σελίδα 365
Isaac Newton Failor. BOOK VIII THE SPHERE DEFINITIONS 745 A sphere is a solid bounded by a surface all points of which are equidistant from a point within called the center of the sphere . A sphere may be generated by the revolution of a ...
Isaac Newton Failor. BOOK VIII THE SPHERE DEFINITIONS 745 A sphere is a solid bounded by a surface all points of which are equidistant from a point within called the center of the sphere . A sphere may be generated by the revolution of a ...
Σελίδα 366
... sphere is any section of the sphere made by a plane . 751 COROLLARY 1. The line joining the center of a sphere and the center of a circle of the sphere is perpendicular to the plane of the circle . 752 COROLLARY 2. Circles of a sphere ...
... sphere is any section of the sphere made by a plane . 751 COROLLARY 1. The line joining the center of a sphere and the center of a circle of the sphere is perpendicular to the plane of the circle . 752 COROLLARY 2. Circles of a sphere ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal arc BC assigned quantity base bisectors bisects chord circumference circumscribed circle CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus Find the ratio frustum given circle given line given point homologous sides hypotenuse HYPOTHESIS inches inscribed intersecting isosceles trapezoid isosceles triangle lateral area legs line of centers mean proportional median mid-points number of sides parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segments similar triangles slant height SOLUTION sphere spherical polygon spherical triangle straight line surface tangent THEOREM trapezoid triangle ABC triedral vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 168 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 41 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 38 - ... 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 35 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 242 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Σελίδα 174 - In any triangle, the product of two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle plus the square of the bisector.
Σελίδα 172 - If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 171 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 192 - The areas of two rectangles having equal altitudes are to each other as their bases.
Σελίδα 65 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...