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 viii
... demonstrations ready- made , and proportionably more of independent judg- ment and original reasoning . They not only learn Mathematics , but they become Mathematicians . Hence , when Euclid's Elements and the higher branches of ...
... demonstrations ready- made , and proportionably more of independent judg- ment and original reasoning . They not only learn Mathematics , but they become Mathematicians . Hence , when Euclid's Elements and the higher branches of ...
Página 44
... demonstration . M. - I shall rub out what I have written . Demon- strate , each of you , that , " if two straight lines intersect each other , the opposite or vertical angles are equal . " The master will , here , have an opportunity of ...
... demonstration . M. - I shall rub out what I have written . Demon- strate , each of you , that , " if two straight lines intersect each other , the opposite or vertical angles are equal . " The master will , here , have an opportunity of ...
Página 45
... demonstration chiefly depend ? P. That the two angles which one straight line makes with another straight line are together equalto two right angles . M. - There are two other truths referred - to in your demonstration : what are they ...
... demonstration chiefly depend ? P. That the two angles which one straight line makes with another straight line are together equalto two right angles . M. - There are two other truths referred - to in your demonstration : what are they ...
Página 46
... demonstration . M. - Truths which are at once conceded , and , there- fore , do not require demonstration , are called axioms . ( Greek džíwua , from agios , worthy , —a proposition worthy of being believed . ) M. — Instead of saying ...
... demonstration . M. - Truths which are at once conceded , and , there- fore , do not require demonstration , are called axioms . ( Greek džíwua , from agios , worthy , —a proposition worthy of being believed . ) M. — Instead of saying ...
Página 71
... is greater than either of the interior and opposite angles . M. Write the demonstration of this truth on your slate , and introduce the signs just recommended . P. Ls , a cd + acb = 2 rt AN INTRODUCTION TO GEOMETRY . 71.
... is greater than either of the interior and opposite angles . M. Write the demonstration of this truth on your slate , and introduce the signs just recommended . P. Ls , a cd + acb = 2 rt AN INTRODUCTION TO GEOMETRY . 71.
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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.