Euclid, Βιβλίο 1W.B. Clive, 1903 - 164 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 14
... respects : that is , their bases or third sides shall be equal , the triangles shall be equal in area , and the remaining angles shall be equal , each to each , namely , those to which the equal sides are opposite . having Let ABC , DEF ...
... respects : that is , their bases or third sides shall be equal , the triangles shall be equal in area , and the remaining angles shall be equal , each to each , namely , those to which the equal sides are opposite . having Let ABC , DEF ...
Σελίδα 15
... respects . Ax . 8 Q. E. D. NOTES ON PROPOSITION 4 . Every triangle has six parts , viz . three sides and three angles . A triangle also contains a certain area . Two triangles may therefore have equality in seven respects , and then ...
... respects . Ax . 8 Q. E. D. NOTES ON PROPOSITION 4 . Every triangle has six parts , viz . three sides and three angles . A triangle also contains a certain area . Two triangles may therefore have equality in seven respects , and then ...
Σελίδα 16
... respects ; so that the base FC is equal to the base GB , and the angle AFC is equal to the angle AGB , and the angle ACF is equal to the angle ABG . ( 2 ) Again , because the whole line AF 16 EUCLID , BOOK I .-- PROPOSITION 5 .
... respects ; so that the base FC is equal to the base GB , and the angle AFC is equal to the angle AGB , and the angle ACF is equal to the angle ABG . ( 2 ) Again , because the whole line AF 16 EUCLID , BOOK I .-- PROPOSITION 5 .
Σελίδα 17
... respects ; so that the angle BCF is equal to the angle CBG , and the angle FBC is equal to the angle GCB . ( 4 ) Because the whole angle ABG is equal to the whole angle Proved . ACF , and because the part , the angle CBG , is equal to ...
... respects ; so that the angle BCF is equal to the angle CBG , and the angle FBC is equal to the angle GCB . ( 4 ) Because the whole angle ABG is equal to the whole angle Proved . ACF , and because the part , the angle CBG , is equal to ...
Σελίδα 22
... respects ; that is , the angle contained by the two sides of the one triangle shall be equal to the angle contained by the two sides , equal to them , of the other triangle , etc. Let ABC , DEF be two triangles , the side AB equal to ...
... respects ; that is , the angle contained by the two sides of the one triangle shall be equal to the angle contained by the two sides , equal to them , of the other triangle , etc. Let ABC , DEF be two triangles , the side AB equal to ...
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.