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 52
... alternate angles . What angles , besides these , are similarly situated ? What are the alternate angles ? P. - The angles b gf and c h e are alternate . " " a gf and dhe are alternate . M. - Then , if two parallel lines intersect ...
... alternate angles . What angles , besides these , are similarly situated ? What are the alternate angles ? P. - The angles b gf and c h e are alternate . " " a gf and dhe are alternate . M. - Then , if two parallel lines intersect ...
Seite 54
... alternate angles . In doing so , you will , of course , use intersected lines . P. Because a b and c d are bef = Lcfe , parallel lines , each being an alternate angle . To each of these angles add aef ; then , But , α m b d In bef + ...
... alternate angles . In doing so , you will , of course , use intersected lines . P. Because a b and c d are bef = Lcfe , parallel lines , each being an alternate angle . To each of these angles add aef ; then , But , α m b d In bef + ...
Seite 57
... 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. - In the 6th case , what will happen if the non- parallel lines a b , c d , ef ...
... 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. - In the 6th case , what will happen if the non- parallel lines a b , c d , ef ...
Seite 62
... alternate angles equal to each other . 20. If two parallel lines meet another straight line , they make the two interior angles together equal to two right angles . 21. If two straight lines intersect another straight line , so as to ...
... alternate angles equal to each other . 20. If two parallel lines meet another straight line , they make the two interior angles together equal to two right angles . 21. If two straight lines intersect another straight line , so as to ...
Seite 63
... alternate angles not equal to each other , these two lines are not parallel . 23. If two straight lines meet another straight line , and make the two interior angles , together , less than two right angles , these lines will meet if ...
... alternate angles not equal to each other , these two lines are not parallel . 23. If two straight lines meet another straight line , and make the two interior angles , together , less than two right angles , these lines will meet if ...
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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.