Elements of GeometryAmerican Book Company, 1896 - 540 σελίδες |
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Σελίδα v
... FORMED BY STRAIGHT LINES PARALLEL LINES AND SYMMETRICAL FIGURES TRIANGLES . PARALLELOGRAMS PROBLEMS 04388 6 15 32 60 66 BOOK II THE CIRCLE MEASUREMENT LIMITS • PROBLEMS OF DEMONSTRATION 106 PROBLEMS OF CONSTRUCTION . 108 ཆུརྱཝཔ BOOK III ...
... FORMED BY STRAIGHT LINES PARALLEL LINES AND SYMMETRICAL FIGURES TRIANGLES . PARALLELOGRAMS PROBLEMS 04388 6 15 32 60 66 BOOK II THE CIRCLE MEASUREMENT LIMITS • PROBLEMS OF DEMONSTRATION 106 PROBLEMS OF CONSTRUCTION . 108 ཆུརྱཝཔ BOOK III ...
Σελίδα 2
... of figures in the same plane . 13. Def . - Solid Geometry , or the geometry of space , treats of figures not wholly in the same plane . PLANE GEOMETRY BOOK I FIGURES FORMED BY STRAIGHT LINES 14. INTRODUCTION 5 GENERAL AXIOMS.
... of figures in the same plane . 13. Def . - Solid Geometry , or the geometry of space , treats of figures not wholly in the same plane . PLANE GEOMETRY BOOK I FIGURES FORMED BY STRAIGHT LINES 14. INTRODUCTION 5 GENERAL AXIOMS.
Σελίδα 2
Andrew Wheeler Phillips, Irving Fisher. PLANE GEOMETRY BOOK I FIGURES FORMED BY STRAIGHT LINES 14. Defs . — An angle is a figure formed by two straight lines diverging from the same point . This point is the vertex of the angle , and the ...
Andrew Wheeler Phillips, Irving Fisher. PLANE GEOMETRY BOOK I FIGURES FORMED BY STRAIGHT LINES 14. Defs . — An angle is a figure formed by two straight lines diverging from the same point . This point is the vertex of the angle , and the ...
Σελίδα 11
... formed by a pencil , how- ever well sharpened , are not absolute points and lines , for the dots have some magnitude , and the marks some breadth . Diagrams only approximate the ideal points and lines intended . If , however , the ...
... formed by a pencil , how- ever well sharpened , are not absolute points and lines , for the dots have some magnitude , and the marks some breadth . Diagrams only approximate the ideal points and lines intended . If , however , the ...
Σελίδα 12
... forming the angles a and b . TO PROVE Suppose a + b = 2 right angles . MX drawn perpendicular to AB . [ From a point in a straight line one perpendicular can be drawn . ] BMX + XMA≈2 right angles . Then We may ... formed 12 PLANE GEOMETRY.
... forming the angles a and b . TO PROVE Suppose a + b = 2 right angles . MX drawn perpendicular to AB . [ From a point in a straight line one perpendicular can be drawn . ] BMX + XMA≈2 right angles . Then We may ... formed 12 PLANE GEOMETRY.
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles allel altitude angles are equal apothem axis bisecting bisector centre chord circumference circumscribed coincide construct Def.-The Defs Defs.-A diagonals diameter diedral angles distance divided draw equally distant equilateral triangle equivalent Exercise.-The face angles figure Find the area frustum geometry given circle given line given point given straight line GIVEN TO PROVE given triangle Hence hypotenuse lateral area lateral edges lateral faces locus meet middle points number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane geometry plane MN polyedral angle polyedron prism prismatic surface pyramid Q. E. D. PROPOSITION quadrilateral radical axis radii radius ratio of similitude rectangle regular polygon right angles right triangle segment similar slant height sphere spherical polygon spherical triangle square straight line joining surface symmetrical tangent tetraedron THEOREM triangle ABC triangles are equal triangular prism triedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 30 - 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. C...
Σελίδα 466 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Σελίδα 315 - The frustum of a triangular pyramid is equivalent to the sum of three pyramids whose common altitude is the altitude of the frustum and whose bases are the lower base, the upper base, and a mean proportional between the two bases of the frustum.
Σελίδα 205 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Σελίδα 36 - ... 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 379 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Σελίδα 138 - ... twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 57 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 137 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Σελίδα 147 - The product of two sides of a triangle is equal to the product of the diameter of the circumscribed circle and the altitude upon the third side.