Elements of GeometryAmerican Book Company, 1896 - 540 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 91.
Σελίδα 2
... A surface is no part of a solid . 4. Def . - The boundaries of a surface are lines . A line is no part of a surface . 5. Def . - The boundaries ( or ends ) of a line are points . A point is no part of a line . 6. The solid , surface ...
... A surface is no part of a solid . 4. Def . - The boundaries of a surface are lines . A line is no part of a surface . 5. Def . - The boundaries ( or ends ) of a line are points . A point is no part of a line . 6. The solid , surface ...
Σελίδα 2
... ( a . ) Straight line axiom . - Through every two points in space there is one and only one straight line . This is sometimes expressed as follows : Two points determine a straight line . ( b . ) Parallel axiom . - Through a given point ...
... ( a . ) Straight line axiom . - Through every two points in space there is one and only one straight line . This is sometimes expressed as follows : Two points determine a straight line . ( b . ) Parallel axiom . - Through a given point ...
Σελίδα 2
... a figure formed by two straight lines diverging from the same point . This point is the vertex of the angle , and the lines are its sides . A clear notion of an angle may be obtained by observing the hands of a clock , which form a ...
... a figure formed by two straight lines diverging from the same point . This point is the vertex of the angle , and the lines are its sides . A clear notion of an angle may be obtained by observing the hands of a clock , which form a ...
Σελίδα 9
... GIVEN TO PROVE any two right angles AOB and A'O'B ' . they are equal . Apply A'O'B ' to AOB so that the vertex O ' shall fall on O , and so that A ' , any point in one side of A'O'B ' , shall fall on some point in OA or OA produced ...
... GIVEN TO PROVE any two right angles AOB and A'O'B ' . they are equal . Apply A'O'B ' to AOB so that the vertex O ' shall fall on O , and so that A ' , any point in one side of A'O'B ' , shall fall on some point in OA or OA produced ...
Σελίδα 13
... give him the power of carefully stating and separating the steps and finding for each a satisfactory reason . 27. COR . III . The sum of all the angles about a point on one side of a straight line equals two right angles . ( Fig . 2 ...
... give him the power of carefully stating and separating the steps and finding for each a satisfactory reason . 27. COR . III . The sum of all the angles about a point on one side of a straight line equals two right angles . ( Fig . 2 ...
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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.