The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 Seiten |
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Seite v
... Circles .. Measurement of Angles .... Quadrilaterals . Problems of Construction .. Exercises . Theorems .. Loci ...... Problems .. 74 8888 78 90 102 104 123 127 129 V BOOK III . RATIO AND PROPORTION : SIMILAR FIGURES .
... Circles .. Measurement of Angles .... Quadrilaterals . Problems of Construction .. Exercises . Theorems .. Loci ...... Problems .. 74 8888 78 90 102 104 123 127 129 V BOOK III . RATIO AND PROPORTION : SIMILAR FIGURES .
Seite vi
... Similar Figures Similar Triangles Similar Polygons .. PAGE 134 143 149 150 155 Numerical Relations between the Different Parts of a Triangle 158 Problems of Construction .... Applications ... Exercises . Theorems Problems .. 168 173 175 ...
... Similar Figures Similar Triangles Similar Polygons .. PAGE 134 143 149 150 155 Numerical Relations between the Different Parts of a Triangle 158 Problems of Construction .... Applications ... Exercises . Theorems Problems .. 168 173 175 ...
Seite vii
... Similar Polyedrons . 302 316 Regular Polyedrons General Properties of Polyedrons . Exercises . Theorems ..... Numerical Exercises 319 325 327 329 Problems .. 333 BOOK VIII . THE SPHERE . Circles of the Sphere and Tangent Planes ...
... Similar Polyedrons . 302 316 Regular Polyedrons General Properties of Polyedrons . Exercises . Theorems ..... Numerical Exercises 319 325 327 329 Problems .. 333 BOOK VIII . THE SPHERE . Circles of the Sphere and Tangent Planes ...
Seite 13
... similar . pt . Is perpendiculars . rt . Il parallel . Ils parallels . O circle . Os circles . Oce circumference . O ces circumferences . sq . .... ..square . st . ..straight . sup ....... supplementary . The words " join AB " are used ...
... similar . pt . Is perpendiculars . rt . Il parallel . Ils parallels . O circle . Os circles . Oce circumference . O ces circumferences . sq . .... ..square . st . ..straight . sup ....... supplementary . The words " join AB " are used ...
Seite 30
... similar way , though in this case it scarcely needs proof ; for it is inconceivable that two straight lines , which do not meet an intermediate straight line , should meet each other . EXERCISES . 1. Two straight lines AB , CD , bisect ...
... similar way , though in this case it scarcely needs proof ; for it is inconceivable that two straight lines , which do not meet an intermediate straight line , should meet each other . EXERCISES . 1. Two straight lines AB , CD , bisect ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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'.
Seite 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 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.