Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian School, Cheam, SurreyTaylor and Walton, 1837 - 215 Seiten |
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Seite 2
... surface . M. ( holding up a sphere and a prism . ) — In what does the surface of one of these objects chiefly differ from the surface of the other ? P. - The one is composed of several surfaces , and the other is bounded only by one curved ...
... surface . M. ( holding up a sphere and a prism . ) — In what does the surface of one of these objects chiefly differ from the surface of the other ? P. - The one is composed of several surfaces , and the other is bounded only by one curved ...
Seite 3
... surface of this object ? P. - The assemblage of the several surfaces which bound it . M. - If we wish to distinguish one of these several surfaces from the total number of surfaces , it is usual to call it one of its faces . Now state ...
... surface of this object ? P. - The assemblage of the several surfaces which bound it . M. - If we wish to distinguish one of these several surfaces from the total number of surfaces , it is usual to call it one of its faces . Now state ...
Seite 4
... surface of a solid is its length and breadth considered without reference to its depth . 4. Every solid is bounded either by one surface only , or by several faces . 5. Solids are either bounded by plane faces , or by both plane and ...
... surface of a solid is its length and breadth considered without reference to its depth . 4. Every solid is bounded either by one surface only , or by several faces . 5. Solids are either bounded by plane faces , or by both plane and ...
Seite 26
... surface , is called the centre of the sphere . Imagine a straight line drawn from any point of the surface of a sphere , through its centre , to the opposite surface : such a line is called a diameter ( from the Greek dia , through ...
... surface , is called the centre of the sphere . Imagine a straight line drawn from any point of the surface of a sphere , through its centre , to the opposite surface : such a line is called a diameter ( from the Greek dia , through ...
Seite 27
... surface of a sphere to its centre : such a straight line is called a radius ( from the Latin radius , a ray ) . How ... surface , which is everywhere equi - distant from a point , within the solid , called the centre . 2. A straight line ...
... surface of a sphere to its centre : such a straight line is called a radius ( from the Latin radius , a ray ) . How ... surface , which is everywhere equi - distant from a point , within the solid , called the centre . 2. A straight line ...
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Häufige Begriffe und Wortgruppen
a b and c d a b d a c d acute angles adjacent angle angle contained angles a b c angles are equal base bisect bounded called centre CHEAM SCHOOL chords circumference cloth cut the circle demonstration diagonal diameter DIONYSIUS LARDNER dodecahedron draw equal angles equilateral exterior angle Foolscap 8vo greater Greek Greek Language interior and opposite isosceles triangle Latin LATIN LANGUAGE LESSON likewise M.-Compare M.-Demonstrate M.-Draw M.-Hence M.-What M.-When master obtuse angle octahedron opposite angles P.-Because P.-That P.-The angle P.-They parallelogram pentagon perpendicular plane angles point of contact pupils quadrilateral figure rectangle contained rhomb right angles semi-circumference similar triangles slates solid angles sphere square straight line joining tangent TAYLOR AND WALTON trapezium triangle a b c triangles are equal truth twice the rectangle unequal
Beliebte Passagen
Seite 98 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Seite 134 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Seite 117 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Seite 139 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.
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Seite 74 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Seite 80 - ... one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles which have the two sides, AB, AC, equal to...
Seite 159 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 74 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.