The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 Seiten |
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Seite 33
... isosceles triangle is one which has two equal sides . 89. A scalene triangle is one which has three unequal sides . 90. A right - angled triangle is one which has a right angle . The side opposite the right angle is called the ...
... isosceles triangle is one which has two equal sides . 89. A scalene triangle is one which has three unequal sides . 90. A right - angled triangle is one which has a right angle . The side opposite the right angle is called the ...
Seite 34
... isosceles triangle the side which is not one of the equal sides is called the base . 94. When one side of a triangle has been taken as the base , the angle opposite is called the vertical angle , and its vertex is called the vertex of ...
... isosceles triangle the side which is not one of the equal sides is called the base . 94. When one side of a triangle has been taken as the base , the angle opposite is called the vertical angle , and its vertex is called the vertex of ...
Seite 39
... isosceles triangle , ABC , is pro- duced to any point D , show that AD is greater than either of the equal sides . 2. Prove that the sum of the distances of any point from the three vertices of a triangle is greater than half its ...
... isosceles triangle , ABC , is pro- duced to any point D , show that AD is greater than either of the equal sides . 2. Prove that the sum of the distances of any point from the three vertices of a triangle is greater than half its ...
Seite 40
... isosceles A having To prove AC BC . = ZA = Z B. Proof . Draw the line CD from the vertex C to the middle pt . D of ... isosceles triangle , is at right angles to the base , and bisects the vertical angle . Hence , also , the bisector of ...
... isosceles A having To prove AC BC . = ZA = Z B. Proof . Draw the line CD from the vertex C to the middle pt . D of ... isosceles triangle , is at right angles to the base , and bisects the vertical angle . Hence , also , the bisector of ...
Seite 41
... isosceles triangle , with AB bisectors of the angles B and C meet at O. CO = BO . AC . The Prove that 2. ABC is a triangle ; BA is produced to D so that AD = AC , and DC is joined . Prove that BCD > △ BDC . 3. The angle C is twice as ...
... isosceles triangle , with AB bisectors of the angles B and C meet at O. CO = BO . AC . The Prove that 2. ABC is a triangle ; BA is produced to D so that AD = AC , and DC is joined . Prove that BCD > △ BDC . 3. The angle C is twice as ...
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Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle 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 prove Proof 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 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.
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 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.
Seite 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.