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 25
... double the number of the sides of the polygon . M. — In what manner may you distinguish one prism from another ? P. - By its bases . A prism whose bases are triangles we would call triangular ; one which has quadrilateral bases we would ...
... double the number of the sides of the polygon . M. — In what manner may you distinguish one prism from another ? P. - By its bases . A prism whose bases are triangles we would call triangular ; one which has quadrilateral bases we would ...
Seite 28
... double the length of a radius of the same sphere . 5. Diameters and radii of the same sphere , or of equal spheres , are equal . 6. If spheres are equal , their diameters and radii are equal . 7. If spheres are unequal , their diameters ...
... double the length of a radius of the same sphere . 5. Diameters and radii of the same sphere , or of equal spheres , are equal . 6. If spheres are equal , their diameters and radii are equal . 7. If spheres are unequal , their diameters ...
Seite 86
... double of any one side . P. The three sides of any triangle are together greater than double the length of any one side ; for , abac being > bc , add be to each of these unequals ; then abac + bc > bc + bc . b a SUBSTANCE OF SECTION IV ...
... double of any one side . P. The three sides of any triangle are together greater than double the length of any one side ; for , abac being > bc , add be to each of these unequals ; then abac + bc > bc + bc . b a SUBSTANCE OF SECTION IV ...
Seite 88
... double the length of any one side . SECTION IV . EQUALITY OF TRIANGLES . M. - Describe a triangle ; in it take any point , and , from the extremities of any one side of the triangle , draw lines to that point : what is the result ? P ...
... double the length of any one side . SECTION IV . EQUALITY OF TRIANGLES . M. - Describe a triangle ; in it take any point , and , from the extremities of any one side of the triangle , draw lines to that point : what is the result ? P ...
Seite 124
... parallelogram are upon the same base and between the same parallels , the triangle is one half of the parallelogram , or the parallelogram is double the triangle . a f d Let ad and △ cde be upon the same base 124 LESSONS ON FORM , BEING.
... parallelogram are upon the same base and between the same parallels , the triangle is one half of the parallelogram , or the parallelogram is double the triangle . a f d Let ad and △ cde be upon the same base 124 LESSONS ON FORM , BEING.
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Häufige Begriffe und Wortgruppen
a b and c d a c b a c d acute angles adjacent angle alternate angles angle a b c angle contained angles are equal angles equal base called centre chords circumference cut the circle demonstration diameter dodecahedron edges equal angles equal sides equilateral exterior angle greater inscribed interior and opposite isosceles triangle LESSON likewise lines a b lines be drawn M.-Compare M.-Demonstrate M.-Draw M.-Express M.-Hence M.-What M.-When obtuse angle octahedron opposite angles P.-Because P.-The angle parallelogram pentagon perpendicular plane angles plane faces point of contact pupils pyramid quadrilateral figure rectangle contained rhomb right angles semi-circumference similar triangles slates solid angles sphere square straight line joining tangent third side three angles trapezium triangle a b c triangles are equal truth twice the rectangle unequal whole line
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 137 - 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.
Seite 219 - A very convenient class-book for junior students in' private schools. It is intended to convey, in clear and precise terms, general notions of all the principal divisions of Physical Science.