Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian School, Cheam, SurreyTaylor and Walton, 1837 - 215 páginas |
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Página iii
... clusions , no observatory to obtain data for its cal- culations ; rendering aid to other sciences , it asks none for itself . Hence , that teacher will act most in conformity with the genuine character of the science , and con-
... clusions , no observatory to obtain data for its cal- culations ; rendering aid to other sciences , it asks none for itself . Hence , that teacher will act most in conformity with the genuine character of the science , and con-
Página viii
... Hence , when Euclid's Elements and the higher branches of Mathematics are to be read , the pupils are found competent to demonstrate for themselves the greater part of the propositions , and have re- course to books only for occasional ...
... Hence , when Euclid's Elements and the higher branches of Mathematics are to be read , the pupils are found competent to demonstrate for themselves the greater part of the propositions , and have re- course to books only for occasional ...
Página 16
... hence these figures are called parallelograms ( from the Greek παράλληλος , and γραμμα , a figure ) ; the former a rectangular parallelogram , or simply rectangle , and the latter merely parallelogram . The other quadrila- teral figures ...
... hence these figures are called parallelograms ( from the Greek παράλληλος , and γραμμα , a figure ) ; the former a rectangular parallelogram , or simply rectangle , and the latter merely parallelogram . The other quadrila- teral figures ...
Página 43
... hence , the angles a m c and cm b are together equal to — what other two angles ? P. - The two angles a m c and a m d . M. ( writing . ) - Hence , △ s a m c and c mb = Ls a mc and a m d . If the angle am c be taken away from the former ...
... hence , the angles a m c and cm b are together equal to — what other two angles ? P. - The two angles a m c and a m d . M. ( writing . ) - Hence , △ s a m c and c mb = Ls a mc and a m d . If the angle am c be taken away from the former ...
Página 44
... Hence , the opposite or vertical angles formed by the intersection of two straight lines- P. - Are equal to each other . M. This truth we have established ; we have proved it to be true . If , then , you were called - upon to prove ...
... Hence , the opposite or vertical angles formed by the intersection of two straight lines- P. - Are equal to each other . M. This truth we have established ; we have proved it to be true . If , then , you were called - upon to prove ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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...
Página 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.
Página 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.