A School Geometry, Deler 1-4Macmillan and Company, 1908 |
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Side ix
... angles which one straight line makes with another straight line on one side of it are together equal to two right angles . 10 COR . 1. If two straight lines cut one another , the four angles so formed are together equal to four right ...
... angles which one straight line makes with another straight line on one side of it are together equal to two right angles . 10 COR . 1. If two straight lines cut one another , the four angles so formed are together equal to four right ...
Side x
... angles at the base of an isosceles triangle are equal . COR . 1. If the equal sides of an isosceles triangle are pro ... right angles . COR . 2 . angles . COR . 3 . Every triangle must have at least two acute Only one perpendicular can ...
... angles at the base of an isosceles triangle are equal . COR . 1. If the equal sides of an isosceles triangle are pro ... right angles . COR . 2 . angles . COR . 3 . Every triangle must have at least two acute Only one perpendicular can ...
Side xi
... angle equal to the interior opposite angle on the same side of the cutting line ; ( iii ) the two interior angles on the same side together equal to two right angles . PARALLELS ILLUSTRATED BY ROTATION . PAGE 36 38 HYPOTHETICAL CON ...
... angle equal to the interior opposite angle on the same side of the cutting line ; ( iii ) the two interior angles on the same side together equal to two right angles . PARALLELS ILLUSTRATED BY ROTATION . PAGE 36 38 HYPOTHETICAL CON ...
Side xii
Henry Sinclair Hall. COR . 1. If one angle of a parallelogram is a right angle , all its angles are right angles . THEOREM 21. [ Euc . I. 34. ] The opposite sides and angles of a parallelogram are equal to one another , and each diagonal ...
Henry Sinclair Hall. COR . 1. If one angle of a parallelogram is a right angle , all its angles are right angles . THEOREM 21. [ Euc . I. 34. ] The opposite sides and angles of a parallelogram are equal to one another , and each diagonal ...
Side xiii
... angle . PROBLEM 13. To construct a square on a given side . Loci . PROBLEM 14. To ... angles of a triangle are concurrent . III . The medians of a triangle are ... right - angled triangle the square described on the hypotenuse is equal to ...
... angle . PROBLEM 13. To construct a square on a given side . Loci . PROBLEM 14. To ... angles of a triangle are concurrent . III . The medians of a triangle are ... right - angled triangle the square described on the hypotenuse is equal to ...
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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.