A School Geometry, Teile 1-4Macmillan and Company, 1908 |
Im Buch
Ergebnisse 1-5 von 27
Seite xiv
... pass through any three points not in the same straight line . 144 145 . 145 145 146 COR . 1. The size and position of a circle are fully deter- mined if it is known to pass through three given points . 147 COR . 2. Two circles cannot ...
... pass through any three points not in the same straight line . 144 145 . 145 145 146 COR . 1. The size and position of a circle are fully deter- mined if it is known to pass through three given points . 147 COR . 2. Two circles cannot ...
Seite 4
... 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 into 60 equal parts called minutes ...
... 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 into 60 equal parts called minutes ...
Seite 6
... pass through one posi- tion in which it divides AB into two equal parts . That is to say : Every finite straight line has a point of bisection . ( ii ) If a line OP , revolving about turns from OA to OB , it must pass through one ...
... pass through one posi- tion in which it divides AB into two equal parts . That is to say : Every finite straight line has a point of bisection . ( ii ) If a line OP , revolving about turns from OA to OB , it must pass through one ...
Seite 39
... pass parallel to any given straight line . Obs . If AB is a straight line , movements from A towards B , and from B towards A are said to be in opposite senses of the line AB . THEOREM 15. [ Euclid I. 30. ] Straight lines which ...
... pass parallel to any given straight line . Obs . If AB is a straight line , movements from A towards B , and from B towards A are said to be in opposite senses of the line AB . THEOREM 15. [ Euclid I. 30. ] Straight lines which ...
Seite 52
... passes through F , EG is greater than EF ; that is , BC is greater than EF . But if EG does not pass through F , suppose that DK bisects the FDG , and meets EG in K. Join FK . because Then in the △ FDK , GDK , FD = GD , DK is common to ...
... passes through F , EG is greater than EF ; that is , BC is greater than EF . But if EG does not pass through F , suppose that DK bisects the FDG , and meets EG in K. Join FK . because Then in the △ FDK , GDK , FD = GD , DK is common to ...
Andere Ausgaben - Alle anzeigen
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.