A School Geometry, Μέρη 1-4Macmillan and Company, 1908 |
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Αποτελέσματα 1 - 5 από τα 53.
Σελίδα xii
... square are equal ; and all its angles are right angles . 59 59 COR . 3. The diagonals of a parallelogram bisect one another . THEOREM 22. If there are three or more parallel straight lines , and the intercepts made by them on any ...
... square are equal ; and all its angles are right angles . 59 59 COR . 3. The diagonals of a parallelogram bisect one another . THEOREM 22. If there are three or more parallel straight lines , and the intercepts made by them on any ...
Σελίδα xiii
... square on a given side . Loci . PROBLEM 14. To find the locus of a point P which moves so that its distances from two fixed points A and B are always equal to one another . PROBLEM 15. To find the locus of a point P which moves so that ...
... square on a given side . Loci . PROBLEM 14. To find the locus of a point P which moves so that its distances from two fixed points A and B are always equal to one another . PROBLEM 15. To find the locus of a point P which moves so that ...
Σελίδα xiv
... square described on one side of a triangle is equal to the sum of the squares described on the other two sides , then the angle contained by these two sides is a right angle . PROBLEM 16. To draw squares whose areas shall be ...
... square described on one side of a triangle is equal to the sum of the squares described on the other two sides , then the angle contained by these two sides is a right angle . PROBLEM 16. To draw squares whose areas shall be ...
Σελίδα xviii
... square on the given line is equal to the sum of the squares on the two segments together with twice the rectangle contained by the segments . THEOREM 52. [ Euc . II . 7. ] If a straight line is divided externally at any point , the square ...
... square on the given line is equal to the sum of the squares on the two segments together with twice the rectangle contained by the segments . THEOREM 52. [ Euc . II . 7. ] If a straight line is divided externally at any point , the square ...
Σελίδα xix
... 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 a square equal in area to a given rectangle . PAGE 234 238 PROBLEM 33. To divide a given straight line ...
... 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 a square equal in area to a given rectangle . PAGE 234 238 PROBLEM 33. To divide a given straight line ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 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.
Σελίδα 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 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.
Σελίδα 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα 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.
Σελίδα 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.