A School Geometry, Μέρη 1-4Macmillan and Company, 1908 |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα ix
... straight line makes with another straight line on one side of it are together equal to two right angles . PAGE 1 10 COR . 1. If two straight lines cut one another , the four angles so formed are together equal to four right angles . COR ...
... straight line makes with another straight line on one side of it are together equal to two right angles . PAGE 1 10 COR . 1. If two straight lines cut one another , the four angles so formed are together equal to four right angles . COR ...
Σελίδα x
... 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 AB . 33 COR . 2. Two obliques OP ...
... 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 AB . 33 COR . 2. Two obliques OP ...
Σελίδα xi
... line , or ( iii ) the interior angles on the same side equal to two right angles ; then in each case the two straight lines are parallel . THEOREM 14. [ Euc . I. 29. ] If a straight line cuts two parallel lines , it makes ( i ) the ...
... line , or ( iii ) the interior angles on the same side equal to two right angles ; then in each case the two straight lines are parallel . THEOREM 14. [ Euc . I. 29. ] If a straight line cuts two parallel lines , it makes ( i ) the ...
Σελίδα xii
... straight lines , and the intercepts made by them on any transversal are equal , then the corresponding intercepts on ... line . 71 PROBLEM 3. To draw a straight line perpendicular to a given straight line at a given point in it . RE 70 ...
... straight lines , and the intercepts made by them on any transversal are equal , then the corresponding intercepts on ... line . 71 PROBLEM 3. To draw a straight line perpendicular to a given straight line at a given point in it . RE 70 ...
Σελίδα xiv
... straight line cannot meet a circle at more than two points . COR . 3. A chord of a circle lies wholly within it . THEOREM 32. One circle , and only one , can pass through any three points not in the same straight line . 144 145 . 145 ...
... straight line cannot meet a circle at more than two points . COR . 3. A chord of a circle lies wholly within it . THEOREM 32. One circle , and only one , can pass through any three points not in the same straight line . 144 145 . 145 ...
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.