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 51
... angle a g e , or by the angle a gf . M. Is there another line which has the same incli- nation to eƒ which a g has ... exterior , and the angle c h e the interior and opposite angle . If , then , two parallel lines intersect another ...
... angle a g e , or by the angle a gf . M. Is there another line which has the same incli- nation to eƒ which a g has ... exterior , and the angle c h e the interior and opposite angle . If , then , two parallel lines intersect another ...
Página 52
... exterior age inter . and oppo . che . 99 Lchf = دو 99 Lagf . 99 Lbge = " " 99 Ldhg . دو Lfhd = " " " " Lbgf . M. - To what other angle is a g e equal ? P. - To the angle bgf ; because age and bg f are vertical angles . M. — What must ...
... exterior age inter . and oppo . che . 99 Lchf = دو 99 Lagf . 99 Lbge = " " 99 Ldhg . دو Lfhd = " " " " Lbgf . M. - To what other angle is a g e equal ? P. - To the angle bgf ; because age and bg f are vertical angles . M. — What must ...
Página 53
... angles . M. - What angle is equal to the angle a bd ? P. - The angle c d f is equal to the angle ab d ; be- cdf is the exterior , and ab d , the in- cause terior and opposite angle . M. - Hence abd + Lcd b is equal to P. - Lcdf + Lcd b ...
... angles . M. - What angle is equal to the angle a bd ? P. - The angle c d f is equal to the angle ab d ; be- cdf is the exterior , and ab d , the in- cause terior and opposite angle . M. - Hence abd + Lcd b is equal to P. - Lcdf + Lcd b ...
Página 55
... exterior anglecde is not equal to the interior and opposite angle f a bd , what must be concluded ? b a C P. — That the lines ab and d c are not parallel . M. - Again , if it be known that the angles a ef and dfe are not equal , what ...
... exterior anglecde is not equal to the interior and opposite angle f a bd , what must be concluded ? b a C P. — That the lines ab and d c are not parallel . M. - Again , if it be known that the angles a ef and dfe are not equal , what ...
Página 57
... exterior angle is equal to the interior and opposite , or not ; or , whether the alternate angles are co - equal or not ; or , whether the two interior angles are , toge- ther , equal to , less than , or more than , two right angles . M ...
... exterior angle is equal to the interior and opposite , or not ; or , whether the alternate angles are co - equal or not ; or , whether the two interior angles are , toge- ther , equal to , less than , or more than , two right angles . M ...
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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
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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.