A School Geometry, Teile 1-4Macmillan and Company, 1908 |
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Seite vi
... position of I. 26 ( Theorem 17 ) , which we place after I. 32 ( Theorem 16 ) , thus getting rid of the tedious and uninstructive Second Case . In subsequent Parts a freer treatment in respect of logical order has been followed . As ...
... position of I. 26 ( Theorem 17 ) , which we place after I. 32 ( Theorem 16 ) , thus getting rid of the tedious and uninstructive Second Case . In subsequent Parts a freer treatment in respect of logical order has been followed . As ...
Seite xiv
... position of a circle are fully deter- mined if it is known to pass through three given points . 147 COR . 2. Two circles cannot cut one another in more than two points without coinciding entirely . 147 HYPOTHETICAL CONSTRUCTION 147 ...
... position of a circle are fully deter- mined if it is known to pass through three given points . 147 COR . 2. Two circles cannot cut one another in more than two points without coinciding entirely . 147 HYPOTHETICAL CONSTRUCTION 147 ...
Seite 2
... position , but is said to have no magnitude . This means that we are to attach to a point no idea of size either as to length or breadth , but to think only where it is situated . A dot made with a sharp pencil may be taken as roughly ...
... position , but is said to have no magnitude . This means that we are to attach to a point no idea of size either as to length or breadth , but to think only where it is situated . A dot made with a sharp pencil may be taken as roughly ...
Seite 3
... position OA into its subsequent position OB . Observe that the size of an angle does not in any way depend on the length of its arms . Angles which lie on either side of C a common arm are said to be ad- jacent . For example , the ...
... position OA into its subsequent position OB . Observe that the size of an angle does not in any way depend on the length of its arms . Angles which lie on either side of C a common arm are said to be ad- jacent . For example , the ...
Seite 4
... position OA to the position OB , must pass through one position , and only one , in which it is perpendicular to AB . ( ii ) All right angles are equal . A right angle is divided into 90 equal parts called degrees ( ° ) ; each degree ...
... position OA to the position OB , must pass through one position , and only one , in which it is perpendicular to AB . ( ii ) All right angles are equal . A right angle is divided into 90 equal parts called degrees ( ° ) ; each degree ...
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Häufige Begriffe und Wortgruppen
AB² adjacent angles altitude angle equal base BC bisector bisects circle of radius circle whose centre circles which touch circum-circle circumference circumscribed coincide common tangents concyclic Construct a triangle diagonals diagram diameter distance divided draw a circle equal in area equidistant escribed circles Euclid exterior angles Find the area find the locus given angle given circle given point given straight line given triangle greater Hence hypotenuse inches inscribed isosceles triangle length Let ABC meet metres middle point millimetre nine-points circle opposite sides orthocentre par¹ parallelogram pedal triangle perp PROBLEM produced Proof radii rect rectangle rectangle contained rectilineal figure required to prove respectively rhombus right angles right-angled triangle segment shew shewn straight line drawn tangent Theor Theorem trapezium triangle ABC triangles are equal vertex vertical angle
Beliebte Passagen
Seite xi - IF two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Seite 44 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Seite 12 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Seite 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 122 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Seite 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Seite x - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Seite 65 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.