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 xii
... Lines without a Circle - Tangents IV . - Two Circles 161 • 178 191 206 Straight Lines 210 Angles 211 Triangles 211 Quadrilateral figures 212 Polygons 212 Circles 213 LESSONS ON FORM , BEING AN INTRODUCTION TO GEOMETRY . xii CONTENTS .
... Lines without a Circle - Tangents IV . - Two Circles 161 • 178 191 206 Straight Lines 210 Angles 211 Triangles 211 Quadrilateral figures 212 Polygons 212 Circles 213 LESSONS ON FORM , BEING AN INTRODUCTION TO GEOMETRY . xii CONTENTS .
Página 190
... each of its sides is equal to the radius of the circle . 18. Hence , the radius of any circle may be applied six times to the circumference . SECTION III . LINES without A CIRCLE - TANGENTS . 190 LESSONS ON FORM , BEING.
... each of its sides is equal to the radius of the circle . 18. Hence , the radius of any circle may be applied six times to the circumference . SECTION III . LINES without A CIRCLE - TANGENTS . 190 LESSONS ON FORM , BEING.
Página 191
... TANGENTS . The object of this section is the investigation of such truths as arise from the relations of straight lines without ... tangent is drawn , and the angles , which a diameter , drawn to the point of contact , makes with it are ...
... TANGENTS . The object of this section is the investigation of such truths as arise from the relations of straight lines without ... tangent is drawn , and the angles , which a diameter , drawn to the point of contact , makes with it are ...
Página 195
... tangent ; and the point in which it touches the circumference is called the point of contact . From the point of contact draw a straight line so as to cut the circle , and determine the angles it makes with a tangent . P. - A straight ...
... tangent ; and the point in which it touches the circumference is called the point of contact . From the point of contact draw a straight line so as to cut the circle , and determine the angles it makes with a tangent . P. - A straight ...
Página 196
... tangent ? P. - A tangent touches a circle in one point only ; and the straight line from the centre to the point of contact is at right angles to the tangent . M. - If , then , the angle which a straight line from the centre makes with ...
... tangent ? P. - A tangent touches a circle in one point only ; and the straight line from the centre to the point of contact is at right angles to the tangent . M. - If , then , the angle which a straight line from the centre makes with ...
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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
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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.