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 35
... - Either by cutting - off from the longer a part equal to the shorter , or by lengthening the shorter until it becomes equal to the longer . M. - Instead of " lengthening , " say producing AN INTRODUCTION TO GEOMETRY . 35.
... - Either by cutting - off from the longer a part equal to the shorter , or by lengthening the shorter until it becomes equal to the longer . M. - Instead of " lengthening , " say producing AN INTRODUCTION TO GEOMETRY . 35.
Seite 36
... producing . In case 3 , what may be said of the lines ab and cd , if they be produced ever so far both ways ? P. That these lines will never meet . M - Straight lines which , when produced ever so far both ways , never meet , are called ...
... producing . In case 3 , what may be said of the lines ab and cd , if they be produced ever so far both ways ? P. That these lines will never meet . M - Straight lines which , when produced ever so far both ways , never meet , are called ...
Seite 47
... produced both ways ever so far , they do not meet . 5. If non - parallel lines be produced far enough , they meet or intersect each other . 6. If two straight lines meet , they may either form one angle or two angles . 7. An angle is ...
... produced both ways ever so far , they do not meet . 5. If non - parallel lines be produced far enough , they meet or intersect each other . 6. If two straight lines meet , they may either form one angle or two angles . 7. An angle is ...
Seite 50
... produced ever so far , they never meet . M. - If , then , it were discovered that these lines do meet , what must be concluded ? P. - That they are not parallel . M. - In the fifth case , since the line e ƒ is not par- allel to the ...
... produced ever so far , they never meet . M. - If , then , it were discovered that these lines do meet , what must be concluded ? P. - That they are not parallel . M. - In the fifth case , since the line e ƒ is not par- allel to the ...
Seite 56
... produced both ways ? P. - The lines a b and c d will meet , toward a and c . M. — If the angles bef + dfe be more than 2 rt . △ s , what will happen if the lines a b and c d be pro- duced both ways ? P. The lines a b and c d will not ...
... produced both ways ? P. - The lines a b and c d will meet , toward a and c . M. — If the angles bef + dfe be more than 2 rt . △ s , what will happen if the lines a b and c d be pro- duced both ways ? P. The lines a b and c d will not ...
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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.