Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Σελίδα v
... POLYGONS IN GENERAL REVIEW QUESTIONS • ANALYSIS OF THEOREMS • PAGE 1 3 7 11 13 67 69 * 2. * N 5 % 15 20 30 53 62 BOOK II . THE CIRCLE 78 91 91 94 110 • • • 125 • 126 THE CIRCLE MEASUREMENT • THEORY OF LIMITS MEASURE OF ANGLES ...
... POLYGONS IN GENERAL REVIEW QUESTIONS • ANALYSIS OF THEOREMS • PAGE 1 3 7 11 13 67 69 * 2. * N 5 % 15 20 30 53 62 BOOK II . THE CIRCLE 78 91 91 94 110 • • • 125 • 126 THE CIRCLE MEASUREMENT • THEORY OF LIMITS MEASURE OF ANGLES ...
Σελίδα vi
Isaac Newton Failor. BOOK III . PROPORTION AND SIMILAR POLYGONS THEORY OF PROPORTION SIMILAR POLYGONS NUMERICAL PROPERTIES OF FIGURES CONSTRUCTIONS • PAGE 141 · 154 • • 164 184 BOOK IV . AREAS OF POLYGONS AREAS OF POLYGONS COMPARISON OF ...
Isaac Newton Failor. BOOK III . PROPORTION AND SIMILAR POLYGONS THEORY OF PROPORTION SIMILAR POLYGONS NUMERICAL PROPERTIES OF FIGURES CONSTRUCTIONS • PAGE 141 · 154 • • 164 184 BOOK IV . AREAS OF POLYGONS AREAS OF POLYGONS COMPARISON OF ...
Σελίδα vii
Isaac Newton Failor. BOOK VIII . THE SPHERE PAGE THE SPHERE SPHERICAL ANGLES SPHERICAL POLYGONS POLAR TRIANGLES SYMMETRICAL SPHERICAL POLYGONS SPHERICAL SURFACES 365 374 • 375 • 379 382 392 SPHERICAL VOLUMES 400 · FORMULAS OF MENSURATION ...
Isaac Newton Failor. BOOK VIII . THE SPHERE PAGE THE SPHERE SPHERICAL ANGLES SPHERICAL POLYGONS POLAR TRIANGLES SYMMETRICAL SPHERICAL POLYGONS SPHERICAL SURFACES 365 374 • 375 • 379 382 392 SPHERICAL VOLUMES 400 · FORMULAS OF MENSURATION ...
Σελίδα 29
... taken A that AD = CB ; prove AC = DB . [ Ax . 4. ] B с Ꭰ 39 Two lines are not parallel if they are respectively perpendicular to two non - parallel lines . POLYGONS DEFINITIONS 131 A polygon is a plane surface bounded PARALLEL LINES 29.
... taken A that AD = CB ; prove AC = DB . [ Ax . 4. ] B с Ꭰ 39 Two lines are not parallel if they are respectively perpendicular to two non - parallel lines . POLYGONS DEFINITIONS 131 A polygon is a plane surface bounded PARALLEL LINES 29.
Σελίδα 30
Isaac Newton Failor. POLYGONS DEFINITIONS 131 A polygon is a plane surface bounded by straight lines ; as , ABCD . The sides of a polygon are the bounding lines , whose sum is the perimeter of the polygon . B A D The angles of a polygon ...
Isaac Newton Failor. POLYGONS DEFINITIONS 131 A polygon is a plane surface bounded by straight lines ; as , ABCD . The sides of a polygon are the bounding lines , whose sum is the perimeter of the polygon . B A D The angles of a polygon ...
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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 Compute CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus frustum given circle given line given point homologous hypotenuse HYPOTHESIS inches inscribed intersect isosceles trapezoid isosceles triangle lateral area legs lune median mid-points number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw PROOF Let Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segment semicircle spherical angle spherical degrees spherical excess spherical polygon spherical triangle straight line surface symmetrical tangent tetraedron THEOREM trapezoid triangle ABC triedral vertex vertical angle
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 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 199 - Two triangles having 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.
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...