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 39
... concluded ? P. - That the first two angles are , together , equal to the second two angles . M. - Express this truth generally . 1 P. - Angles which are equal to the same angle are equal to one another . M. - Make two equal angles , and ...
... concluded ? P. - That the first two angles are , together , equal to the second two angles . M. - Express this truth generally . 1 P. - Angles which are equal to the same angle are equal to one another . M. - Make two equal angles , and ...
Seite 41
... be right angle . M. - What may be concluded from this example ? P. — That if one angle be known , its adjacent angle , likewise , may be known . M. - How , then , may you ascertain the AN INTRODUCTION TO GEOMETRY . 41.
... be right angle . M. - What may be concluded from this example ? P. — That if one angle be known , its adjacent angle , likewise , may be known . M. - How , then , may you ascertain the AN INTRODUCTION TO GEOMETRY . 41.
Seite 50
... concluded ? P. - That they are not parallel . M. - In the fifth case , since the line e ƒ is not par- allel to the parallel lines a b and c d , what will happen if ef be produced ? P. The line e f will intersect both the parallel lines ...
... concluded ? P. - That they are not parallel . M. - In the fifth case , since the line e ƒ is not par- allel to the parallel lines a b and c d , what will happen if ef be produced ? P. The line e f will intersect both the parallel lines ...
Seite 52
... conclude ? P. That the angle b gf is , also , equal to the angle che . M. - Angles which are situated as the angles bg f and che , are called alternate angles . What angles , besides these , are similarly situated ? What are the ...
... conclude ? P. That the angle b gf is , also , equal to the angle che . M. - Angles which are situated as the angles bg f and che , are called alternate angles . What angles , besides these , are similarly situated ? What are the ...
Seite 53
... conclude ? P. That the two interior angles , a b d + c d b = 2 rt . s , likewise . M. - Express , now , in words the truth we have just discovered . P. - If two parallel lines meet another straight line AN INTRODUCTION TO GEOMETRY . 53.
... conclude ? P. That the two interior angles , a b d + c d b = 2 rt . s , likewise . M. - Express , now , in words the truth we have just discovered . P. - If two parallel lines meet another straight line AN INTRODUCTION TO GEOMETRY . 53.
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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.