Elements of GeometryAmerican Book Company, 1896 - 540 σελίδες |
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Αποτελέσματα 1 - 5 από τα 70.
Σελίδα 2
... denoted by a single letter at that point , as O ' in Fig . 2 . Angles with a common vertex and side , as a and b , are said to be adjacent . 15. Def . — Two angles are equal if they BOOK I PAGE 345 FIGURES FORMED BY STRAIGHT LINES.
... denoted by a single letter at that point , as O ' in Fig . 2 . Angles with a common vertex and side , as a and b , are said to be adjacent . 15. Def . — Two angles are equal if they BOOK I PAGE 345 FIGURES FORMED BY STRAIGHT LINES.
Σελίδα 31
... common angle w . This leaves c = a . c = a ' . Ax . 3 $ 51 [ Having their sides respectively parallel , and in the same right and - left But order . ] Therefore Moreover a = a ' . Ax . I 822 a + b 2 right angles . Substituting a for its ...
... common angle w . This leaves c = a . c = a ' . Ax . 3 $ 51 [ Having their sides respectively parallel , and in the same right and - left But order . ] Therefore Moreover a = a ' . Ax . I 822 a + b 2 right angles . Substituting a for its ...
Σελίδα 57
... common point . M N B P GIVEN the triangle ABC and the perpendicular bisectors MM ' . NN ' , and PP ' , of its sides AB , AC , and BC . TO PROVE MM ' , NN ' , and PP ' , meet in a common point . Let O be the intersection of MM ' and NN ...
... common point . M N B P GIVEN the triangle ABC and the perpendicular bisectors MM ' . NN ' , and PP ' , of its sides AB , AC , and BC . TO PROVE MM ' , NN ' , and PP ' , meet in a common point . Let O be the intersection of MM ' and NN ...
Σελίδα 59
... common point . A B Hint . - Show that the intersection of two of the lines must lie on the third as in Proposition XXXIII . 110. Remark . - This point is the centre of the triangle so far as its sides are concerned - that is , it is ...
... common point . A B Hint . - Show that the intersection of two of the lines must lie on the third as in Proposition XXXIII . 110. Remark . - This point is the centre of the triangle so far as its sides are concerned - that is , it is ...
Σελίδα 70
... common point which is two - thirds of the distance from each vertex to the middle of the opposite side . E M Hint . Two of these lines , CE and BD , meet at some point 0 . Take M and N , the middle points of BO and CO . Draw EDNM ...
... common point which is two - thirds of the distance from each vertex to the middle of the opposite side . E M Hint . Two of these lines , CE and BD , meet at some point 0 . Take M and N , the middle points of BO and CO . Draw EDNM ...
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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.