A School Geometry, Teile 1-4Macmillan and Company, 1908 |
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Ergebnisse 1-5 von 41
Seite xiv
... contained by these two sides is a right angle . PROBLEM 16 . To draw squares whose areas shall be respectively twice , three - times , four - times , that of a given square . Problems on Areas . 2 PROBLEM 17. To describe a parallelogram ...
... contained by these two sides is a right angle . PROBLEM 16 . To draw squares whose areas shall be respectively twice , three - times , four - times , that of a given square . Problems on Areas . 2 PROBLEM 17. To describe a parallelogram ...
Seite xvii
... contain an angle equal to a given angle . COR . To cut off from a given circle a segment containing a given angle , it is enough to draw a tangent to the circle ... contained by 219 the two lines is equal to the sum of the CONTENTS . xvii.
... contain an angle equal to a given angle . COR . To cut off from a given circle a segment containing a given angle , it is enough to draw a tangent to the circle ... contained by 219 the two lines is equal to the sum of the CONTENTS . xvii.
Seite xviii
... contained by the segments . THEOREM 53. [ Euc . II . 5 and 6. ] The difference of the squares on two straight lines is equal to the rectangle contained by their sum and difference . COR . If a straight line is bisected , and also ...
... contained by the segments . THEOREM 53. [ Euc . II . 5 and 6. ] The difference of the squares on two straight lines is equal to the rectangle contained by their sum and difference . COR . If a straight line is bisected , and also ...
Seite xix
... contained by the whole line which cuts the circle and the part of it outside the circle is equal to the square on the line which meets the circle , then the line which meets the circle is a tangent to it . Problems . PROBLEM 32. To draw ...
... contained by the whole line which cuts the circle and the part of it outside the circle is equal to the square on the line which meets the circle , then the line which meets the circle is a tangent to it . Problems . PROBLEM 32. To draw ...
Seite 5
... contained by a line traced out by a point which moves so that its distance from a certain fixed point is always the same . Here the point P moves so that its distance P from the fixed point O is always the same . The fixed point is ...
... contained by a line traced out by a point which moves so that its distance from a certain fixed point is always the same . Here the point P moves so that its distance P from the fixed point O is always the same . The fixed point is ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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 COROLLARY 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 perpendicular 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.