Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian School, Cheam, SurreyTaylor and Walton, 1837 - 215 σελίδες |
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Σελίδα 163
... Chord . Compare a chord with a diameter . P. - A chord is always less than a diameter . a d C For , join cd and ce ; then any two sides of a triangle are together greater than the third side , ..cd + ce de . But cd + ceab , the diameter ...
... Chord . Compare a chord with a diameter . P. - A chord is always less than a diameter . a d C For , join cd and ce ; then any two sides of a triangle are together greater than the third side , ..cd + ce de . But cd + ceab , the diameter ...
Σελίδα 164
... chord ; thus : с a ъ draw any chord ab in a circle , a and let c d bisect ab , and be perpendicular to it ; bisect c d in f : then ƒ must be the centre of the circle . M. Find the different ways in which two straight lines may be drawn ...
... chord ; thus : с a ъ draw any chord ab in a circle , a and let c d bisect ab , and be perpendicular to it ; bisect c d in f : then ƒ must be the centre of the circle . M. Find the different ways in which two straight lines may be drawn ...
Σελίδα 166
... may be drawn to a straight line , but only one perpendicular . M. — Then , demonstrate that chords which are equi- distant from the centre are equal to each other . a d 6 e P. From the centre c , 166 LESSONS ON FORM , BEING.
... may be drawn to a straight line , but only one perpendicular . M. — Then , demonstrate that chords which are equi- distant from the centre are equal to each other . a d 6 e P. From the centre c , 166 LESSONS ON FORM , BEING.
Σελίδα 167
... M. - And , when it is known that chords in a circle are equal to each other , what inference must be drawn respecting their distances from the centre ? P. Their distances must be equal : for ,: a AN INTRODUCTION TO GEOMETRY . 167.
... M. - And , when it is known that chords in a circle are equal to each other , what inference must be drawn respecting their distances from the centre ? P. Their distances must be equal : for ,: a AN INTRODUCTION TO GEOMETRY . 167.
Σελίδα 168
... chords are at unequal distances from the centre : and the lesser chord , a b , is farther from the centre than the greater chord , d e . 3. When two straight lines in a circle intersect each 168 LESSONS ON FORM , BEING.
... chords are at unequal distances from the centre : and the lesser chord , a b , is farther from the centre than the greater chord , d e . 3. When two straight lines in a circle intersect each 168 LESSONS ON FORM , BEING.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.