A School Geometry, Teile 1-4Macmillan and Company, 1908 |
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Ergebnisse 1-5 von 34
Seite 7
... diagram to another . ( ii ) Hence from AB , the greater of two straight lines , we may cut off a part equal to PQ the less . For if with centre A , and radius equal to PQ , we draw an arc of a circle cutting AB at X , it is obvious that ...
... diagram to another . ( ii ) Hence from AB , the greater of two straight lines , we may cut off a part equal to PQ the less . For if with centre A , and radius equal to PQ , we draw an arc of a circle cutting AB at X , it is obvious that ...
Seite 8
... diagram , which enables the reader to follow the reasoning more easily . ( iii ) The Construction then directs the drawing of such straight lines and circles as may be required to effect the purpose of a problem , or to prove the truth ...
... diagram , which enables the reader to follow the reasoning more easily . ( iii ) The Construction then directs the drawing of such straight lines and circles as may be required to effect the purpose of a problem , or to prove the truth ...
Seite 13
... diagram , OX and OY are the internal and external bisectors of the angle AOB . B A 6. Prove that the bisectors of the adjacent angles which one straight line makes with another contain a right angle . That is to say , the internal and ...
... diagram , OX and OY are the internal and external bisectors of the angle AOB . B A 6. Prove that the bisectors of the adjacent angles which one straight line makes with another contain a right angle . That is to say , the internal and ...
Seite 15
... diagram of Theorem 3 ( i ) If the LAOC = 35 ° , write down ( without measurement ) the value of each of the L COB , BOD , DOA . ( ii ) If the COB , AOD together make up 250 ° , find each of the LCOA , BOD . ( iii ) If the LAOC , COB ...
... diagram of Theorem 3 ( i ) If the LAOC = 35 ° , write down ( without measurement ) the value of each of the L COB , BOD , DOA . ( ii ) If the COB , AOD together make up 250 ° , find each of the LCOA , BOD . ( iii ) If the LAOC , COB ...
Seite 19
... diagram shews that in order to make two congruent triangles coincide , it may be necessary to reverse , that is , turn over one of them before superposition . C F B D EXERCISES . 1. Shew that the bisector of the vertical angle of an ...
... diagram shews that in order to make two congruent triangles coincide , it may be necessary to reverse , that is , turn over one of them before superposition . C F B D EXERCISES . 1. Shew that the bisector of the vertical angle of an ...
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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.