A School Geometry, Deler 1-4Macmillan and Company, 1908 |
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Side x
... third side . 32 THEOREM 12. Of all straight lines from a given point to a given straight line the perpendicular is the least . 33 COR . 1. If OC is the shortest straight line from O to the straight line AB , then OC is perpendicular to ...
... third side . 32 THEOREM 12. Of all straight lines from a given point to a given straight line the perpendicular is the least . 33 COR . 1. If OC is the shortest straight line from O to the straight line AB , then OC is perpendicular to ...
Side xviii
... third side together with twice the square on the median which bisects the third side . Rectangles in connection with Circles . THEOREM 57. [ Euc . III . 35. ] If two chords of a circle cut at a point within it , the rectangles contained ...
... third side together with twice the square on the median which bisects the third side . Rectangles in connection with Circles . THEOREM 57. [ Euc . III . 35. ] If two chords of a circle cut at a point within it , the rectangles contained ...
Side 27
... third point C , from which both A and B are accessible , and he finds CA - 245 yards , CB = 320 yards , and the angle ACB = 42 ° . Ascertain from a plan the approximate distance between A and B. THEOREM 8. [ Euclid I. 16. ] If one side ...
... third point C , from which both A and B are accessible , and he finds CA - 245 yards , CB = 320 yards , and the angle ACB = 42 ° . Ascertain from a plan the approximate distance between A and B. THEOREM 8. [ Euclid I. 16. ] If one side ...
Side 32
... third side . Let ABC be a triangle . It is required to prove that any two of its sides are together greater than the third side . It is enough to shew that if BC is the greatest side , then BA , AC are together greater than BC . Produce ...
... third side . Let ABC be a triangle . It is required to prove that any two of its sides are together greater than the third side . It is enough to shew that if BC is the greatest side , then BA , AC are together greater than BC . Produce ...
Side 34
... third side . 9. The sum of the distances of any point from the three angular points of a triangle is greater than half its perimeter . X. 10 . The perimeter of a quadrilateral is greater than the sum of its diagonals . 11. ABC is a ...
... third side . 9. The sum of the distances of any point from the three angular points of a triangle is greater than half its perimeter . X. 10 . The perimeter of a quadrilateral is greater than the sum of its diagonals . 11. ABC is a ...
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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.