The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 Seiten |
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Seite 5
... contain , or include , or form the angle at O. A Fig . 4 When there are several angles at one point , any one of them is expressed by three letters , putting the letter at the vertex between the other two . C B Thus , if the straight ...
... contain , or include , or form the angle at O. A Fig . 4 When there are several angles at one point , any one of them is expressed by three letters , putting the letter at the vertex between the other two . C B Thus , if the straight ...
Seite 23
... contain ? PARALLEL LINES . 68. Parallel straight lines are such as lie in the same plane , and never meet , however far they are produced in both directions . 69. A straight line crossing sev- eral other lines is called a transver- sal ...
... contain ? PARALLEL LINES . 68. Parallel straight lines are such as lie in the same plane , and never meet , however far they are produced in both directions . 69. A straight line crossing sev- eral other lines is called a transver- sal ...
Seite 58
... contains all the points , and only those points , that satisfy a given condition . A locus is sometimes defined as the path traced out by a point which moves in accordance with a given law . Thus , the locus of a point which is always ...
... contains all the points , and only those points , that satisfy a given condition . A locus is sometimes defined as the path traced out by a point which moves in accordance with a given law . Thus , the locus of a point which is always ...
Seite 64
... containing the pt . P , and turn it about the axis MN , until the upper part is brought down on the part below MN , the line AP will take the direction AP ' , and the point P will coincide with the point P ' . Thus , when two points are ...
... containing the pt . P , and turn it about the axis MN , until the upper part is brought down on the part below MN , the line AP will take the direction AP ' , and the point P will coincide with the point P ' . Thus , when two points are ...
Seite 70
... contain an angle equal to an exterior angle of the triangle . = 18. A is the vertex of an isosceles triangle ABC , and BA is produced to D , so that AD BA ; and DC is drawn : show that BCD is a right angle . 19. ABC is a triangle , and ...
... contain an angle equal to an exterior angle of the triangle . = 18. A is the vertex of an isosceles triangle ABC , and BA is produced to D , so that AD BA ; and DC is drawn : show that BCD is a right angle . 19. ABC is a triangle , and ...
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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.