The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 sider |
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Resultat 1-5 av 41
Side 21
... middle point , But ... PD = DP ' , and PE = EP ' . ( 60 ) PE + EP ' > PD + DP ' . ... 2PE > 2PD , ... PE > PD . ( 62 ) If the two oblique lines are on opposite sides of PC , as PE and PD ' , and if CE > CD ' , take CD = CD ' , and join ...
... middle point , But ... PD = DP ' , and PE = EP ' . ( 60 ) PE + EP ' > PD + DP ' . ... 2PE > 2PD , ... PE > PD . ( 62 ) If the two oblique lines are on opposite sides of PC , as PE and PD ' , and if CE > CD ' , take CD = CD ' , and join ...
Side 22
... point in the perpendicular erected at the middle of a straight line is equally distant from the ex- tremities of the line . 2. Every point without the perpendicular is unequally distant from the extremities of the line . Hyp . Let DC be ...
... point in the perpendicular erected at the middle of a straight line is equally distant from the ex- tremities of the line . 2. Every point without the perpendicular is unequally distant from the extremities of the line . Hyp . Let DC be ...
Side 26
... points E , F. To prove ZAEF = /EFD.- Proof . Through K , the middle point of EF , draw HG to AB . HG is also to CD . ( 71 ) Turn the figure KFGD , in its own plane , about K as a pivot until KG coincides with KH . Then since and < FKG ...
... points E , F. To prove ZAEF = /EFD.- Proof . Through K , the middle point of EF , draw HG to AB . HG is also to CD . ( 71 ) Turn the figure KFGD , in its own plane , about K as a pivot until KG coincides with KH . Then since and < FKG ...
Side 40
... middle point of the base of an isosceles triangle , is at right angles to the base , and bisects the vertical angle . Hence , also , the bisector of the vertical angle of an isosceles triangle bisects the base at right angles . 113. COR ...
... middle point of the base of an isosceles triangle , is at right angles to the base , and bisects the vertical angle . Hence , also , the bisector of the vertical angle of an isosceles triangle bisects the base at right angles . 113. COR ...
Side 43
... middle point of the third side . Proposition 29. Theorem . 119. If two triangles have two BOOK I. - TRIANGLES . 43.
... middle point of the third side . Proposition 29. Theorem . 119. If two triangles have two BOOK I. - TRIANGLES . 43.
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The Elements of Plane and Solid Geometry: With Numerous Exercises Edward Albert Bowser Uten tilgangsbegrensning - 1891 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector called centre chord circumference circumscribed coincide common cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Populære avsnitt
Side 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Side 188 - 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.
Side 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Side 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Side 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Side 206 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Side 97 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.
Side 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.