A School Geometry, Teile 1-4Macmillan and Company, 1908 |
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Ergebnisse 1-5 von 19
Seite xvii
... circumscribe a circle about a given triangle . PROBLEM 26. To inscribe a circle in a given triangle . PROBLEM 27. To draw an escribed circle of a given triangle . PROBLEM 28. In a given circle to inscribe a triangle equi- angular to a ...
... circumscribe a circle about a given triangle . PROBLEM 26. To inscribe a circle in a given triangle . PROBLEM 27. To draw an escribed circle of a given triangle . PROBLEM 28. In a given circle to inscribe a triangle equi- angular to a ...
Seite 147
... circumscribed about the triangle . The centre of the circle is called the circum - centre of the triangle , and the radius is called the circum - radius . EXERCISES ON THEOREMS 31 AND 32 . ( Theoretical . ) 1. The parts of a straight ...
... circumscribed about the triangle . The centre of the circle is called the circum - centre of the triangle , and the radius is called the circum - radius . EXERCISES ON THEOREMS 31 AND 32 . ( Theoretical . ) 1. The parts of a straight ...
Seite 171
... circumscribed about the triangles PBC , QAB intersect at R , shew that the points P , R , Q are collinear . 19. P , Q , R are the middle points of the sides of a triangle , and X is the foot of the perpendicular let fall from one vertex ...
... circumscribed about the triangles PBC , QAB intersect at R , shew that the points P , R , Q are collinear . 19. P , Q , R are the middle points of the sides of a triangle , and X is the foot of the perpendicular let fall from one vertex ...
Seite 177
... circumscribed about a circle , the sum of one pair of opposite sides is equal to the sum of the other pair . State and prove the converse theorem . 15. If a quadrilateral is described about a circle , the angles sub- tended at the ...
... circumscribed about a circle , the sum of one pair of opposite sides is equal to the sum of the other pair . State and prove the converse theorem . 15. If a quadrilateral is described about a circle , the angles sub- tended at the ...
Seite 192
... circumscribed about a recti- lineal figure , when the circumference of the circle passes through all the angular ... circumscribe a circle about a given 192 GEOMETRY . Circles in Relation to Rectilineal Figures DEFINITIONS.
... circumscribed about a recti- lineal figure , when the circumference of the circle passes through all the angular ... circumscribe a circle about a given 192 GEOMETRY . Circles in Relation to Rectilineal Figures DEFINITIONS.
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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.