A School Geometry, Teile 1-4Macmillan and Company, 1908 |
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Ergebnisse 1-5 von 53
Seite ix
... four angles so formed are together equal to four right angles . COR . 2. When any number of straight lines meet at a point , the sum of the consecutive angles so formed is equal to four right angles . 11 11 COR . 3. ( i ) Supplements of ...
... four angles so formed are together equal to four right angles . COR . 2. When any number of straight lines meet at a point , the sum of the consecutive angles so formed is equal to four right angles . 11 11 COR . 3. ( i ) Supplements of ...
Seite xi
... four right angles , are equal to twice as many right angles as the figure has sides . COR . 2. If the sides of a rectilineal figure , which has no re - entrant angle , are produced in order , then all the exterior angles so formed are ...
... four right angles , are equal to twice as many right angles as the figure has sides . COR . 2. If the sides of a rectilineal figure , which has no re - entrant angle , are produced in order , then all the exterior angles so formed are ...
Seite xii
... . 83 THE CONSTRUCTION OF QUADRILATERALS . PROBLEM 11. To construct a quadrilateral , given the lengths of the four sides , and one angle . 86 29 62 PROBLEM 12. To construct a parallelogram having given two adjacent xii CONTENTS .
... . 83 THE CONSTRUCTION OF QUADRILATERALS . PROBLEM 11. To construct a quadrilateral , given the lengths of the four sides , and one angle . 86 29 62 PROBLEM 12. To construct a parallelogram having given two adjacent xii CONTENTS .
Seite xiv
... four - times , that of a given square . Problems on Areas . PROBLEM 17. To describe a parallelogram equal to a given triangle , and having one of its angles equal to a given angle . PROBLEM 18. To draw a triangle equal in area to a ...
... four - times , that of a given square . Problems on Areas . PROBLEM 17. To describe a parallelogram equal to a given triangle , and having one of its angles equal to a given angle . PROBLEM 18. To draw a triangle equal in area to a ...
Seite 1
... four Rules of Arithmetic , are among those most commonly used in geometrical reasoning . Addition . If equals are added to equals , the sums are equal . Subtraction . If equals are taken from equals , the remainders ure equal ...
... four Rules of Arithmetic , are among those most commonly used in geometrical reasoning . Addition . If equals are added to equals , the sums are equal . Subtraction . If equals are taken from equals , the remainders ure equal ...
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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.