Elements of GeometryAmerican Book Company, 1896 - 540 sider |
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Resultat 1-5 av 44
Side 95
... segment of a circle is the portion of a circle included between an arc and its chord , as AKBM . K M 200. Def . - An angle is inscribed in a segment of a circle when its vertex is in the arc of the segment and its sides pass through the ...
... segment of a circle is the portion of a circle included between an arc and its chord , as AKBM . K M 200. Def . - An angle is inscribed in a segment of a circle when its vertex is in the arc of the segment and its sides pass through the ...
Side 96
... segment are equal . For they are measured by one - half the same arc MN . 202. COR . II . An angle ( A , B , Fig . 2 ) inscribed in a semi- circle is a right angle . 203. COR . III . An angle ( A , Fig . 3 ) inscribed in a segment ...
... segment are equal . For they are measured by one - half the same arc MN . 202. COR . II . An angle ( A , B , Fig . 2 ) inscribed in a semi- circle is a right angle . 203. COR . III . An angle ( A , Fig . 3 ) inscribed in a segment ...
Side 105
... segment APB . This is the segment required . Proof . - CA is tangent to the circle . [ Being perpendicular to a radius at its extremity . ] Therefore m ' is measured by arc AB $ 173 $ 205 But m " ( any angle inscribed in the segment ) ...
... segment APB . This is the segment required . Proof . - CA is tangent to the circle . [ Being perpendicular to a radius at its extremity . ] Therefore m ' is measured by arc AB $ 173 $ 205 But m " ( any angle inscribed in the segment ) ...
Side 117
... segments of a straight line are the parts into which it is divided . 269. Def . - Two straight lines are divided proportion- ally , when the ratio of one line to either of its segments is equal to the ratio of the other line to its ...
... segments of a straight line are the parts into which it is divided . 269. Def . - Two straight lines are divided proportion- ally , when the ratio of one line to either of its segments is equal to the ratio of the other line to its ...
Side 122
... two angles of the other , they are similar . 277. COR . II . If two straight lines are cut by a series of parallels , the corresponding segments of the two lines are pro- portional . M M ' B ' C C ' d D 122 PLANE GEOMETRY.
... two angles of the other , they are similar . 277. COR . II . If two straight lines are cut by a series of parallels , the corresponding segments of the two lines are pro- portional . M M ' B ' C C ' d D 122 PLANE GEOMETRY.
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 466 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Side 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.
Side 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.
Side 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.
Side 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...
Side 138 - ... twice the product of one of these sides and the projection of the other side upon it.
Side 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.
Side 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.
Side 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.