A School Geometry, Deler 1-4Macmillan and Company, 1908 |
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Resultat 1-5 av 17
Side xv
... equidistant from the centre are equal . THEOREM 35. [ Euc . III . 15. ] Of any two chords of a circle , that which is nearer to the centre is greater than one more remote . Conversely , the greater of two chords is nearer to the centre ...
... equidistant from the centre are equal . THEOREM 35. [ Euc . III . 15. ] Of any two chords of a circle , that which is nearer to the centre is greater than one more remote . Conversely , the greater of two chords is nearer to the centre ...
Side 26
... equidistant from the vertex . 8. Shew that the triangle formed by joining the middle points of the sides of an equilateral triangle is also equilateral . 9. ABC is an isosceles triangle having AB equal to AC ; and the angles at B and C ...
... equidistant from the vertex . 8. Shew that the triangle formed by joining the middle points of the sides of an equilateral triangle is also equilateral . 9. ABC is an isosceles triangle having AB equal to AC ; and the angles at B and C ...
Side 49
... equidistant from the arms of the angle . 3. Through O , the middle point of a straight line AB , any straight line is drawn , and perpendiculars AX and BY are dropped upon it from A and B shew that AX is equal to BY . 4. If the bisector ...
... equidistant from the arms of the angle . 3. Through O , the middle point of a straight line AB , any straight line is drawn , and perpendiculars AX and BY are dropped upon it from A and B shew that AX is equal to BY . 4. If the bisector ...
Side 79
... equidistant from two given points A and B. When is this impossible ? 7. In a straight line XY find a point which is equidistant from two intersecting lines AB , AC . When is this impossible ? 8. From a given point P draw a straight line ...
... equidistant from two given points A and B. When is this impossible ? 7. In a straight line XY find a point which is equidistant from two intersecting lines AB , AC . When is this impossible ? 8. From a given point P draw a straight line ...
Side 91
... equidistant from A and B lies on the straight line bisecting AB at right angles . Likewise it may be proved that every point on the perpen- dicular through O is equidistant from A and B. This line is therefore the required locus ...
... equidistant from A and B lies on the straight line bisecting AB at right angles . Likewise it may be proved that every point on the perpen- dicular through O is equidistant from A and B. This line is therefore the required locus ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 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.
Side 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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.
Side 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side 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.
Side 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.