Euclid, Βιβλίο 1W.B. Clive, 1903 - 164 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 47.
Σελίδα xiv
... bisect it , or divide it into two equal parts . ( See Fig . 13. ) With A as centre , and radius rather greater than half AB , describe an arc . With B as centre and an equal radius , describe AH HB Fig . 13 . a second arc , intersecting ...
... bisect it , or divide it into two equal parts . ( See Fig . 13. ) With A as centre , and radius rather greater than half AB , describe an arc . With B as centre and an equal radius , describe AH HB Fig . 13 . a second arc , intersecting ...
Σελίδα xv
... bisect the angle ABC . Care must be taken to join B , F , very exactly . If the angles ABF , FBC be each bisected ... bisect the base , and measure the distance of its middle point from the vertex . 2. In the second triangle bisect the ...
... bisect the angle ABC . Care must be taken to join B , F , very exactly . If the angles ABF , FBC be each bisected ... bisect the base , and measure the distance of its middle point from the vertex . 2. In the second triangle bisect the ...
Σελίδα xvii
... bisect the angle FCB by a line CG , then GCB = 45 ° , 135 ° . By bisecting an angle of 45 ° we can obtain an angle of 2210 , and so on . Again we can construct an equilateral triangle by Problem I. , and we then obtain an angle of 60 ...
... bisect the angle FCB by a line CG , then GCB = 45 ° , 135 ° . By bisecting an angle of 45 ° we can obtain an angle of 2210 , and so on . Again we can construct an equilateral triangle by Problem I. , and we then obtain an angle of 60 ...
Σελίδα xxii
... Bisect it at C. Draw lines to AB at the points A , C , and B respectively . Note that these lines are parallel . Join any point H on the first perpendicular to any point K on the third , and show by measurement that HK is bisected by ...
... Bisect it at C. Draw lines to AB at the points A , C , and B respectively . Note that these lines are parallel . Join any point H on the first perpendicular to any point K on the third , and show by measurement that HK is bisected by ...
Σελίδα xxiii
... bisects the base . 5. Draw a square of side 2 " and measure each diagonal . Show that the diagonals bisect one another . 6. Draw any two straight lines AB and CD which bisect one another at a point 0 , at any angle . Join AC , CB , BD ...
... bisects the base . 5. Draw a square of side 2 " and measure each diagonal . Show that the diagonals bisect one another . 6. Draw any two straight lines AB and CD which bisect one another at a point 0 , at any angle . Join AC , CB , BD ...
Συχνά εμφανιζόμενοι όροι και φράσεις
AC is equal adjacent angles Algebra angle ABC angle ACB angle AGH angle BAC angle EDF angle equal angle GHD Axiom base BC bisect centre circle Constr Construct a triangle contained angle depends on Prop diagonals Divide a given draw a line equal in area equal to AC equal to twice equilateral triangle Euclid exterior angle figure of Prop geometrical given angle given line given point given straight line given triangle gnomon greater hypotenuse interior opposite angle isosceles triangle join length Let the straight M.A. Lond measure middle point opposite sides parallel to BC parallelogram produced quadrilateral quadrilateral figure rectangle AB rectangle AQ rectangle contained rhombus right angles right-angled triangle side AC sides equal square on AC theorem triangle ABC triangle DEF twice the rectangle UNIVERSITY TUTORIAL SERIES vertex
Δημοφιλή αποσπάσματα
Σελίδα 45 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 126 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 31 - 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 138 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Σελίδα 2 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 66 - 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 130 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 99 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 26 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Σελίδα 63 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.