A Syllabus of Modern Plane Geometry |
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... . " I have fought against Rabbah , And have taken the City of Waters . " 2 SAM . 12 , 27 . NEW - YORK : MARK H. NEWMAN : 199 BROADWAY 1844 . ARTES 1817 LIBRARY VERITAS CIENTIA OF THE UNIVERSITY OF MICHIGAN. Front Cover.
... . " I have fought against Rabbah , And have taken the City of Waters . " 2 SAM . 12 , 27 . NEW - YORK : MARK H. NEWMAN : 199 BROADWAY 1844 . ARTES 1817 LIBRARY VERITAS CIENTIA OF THE UNIVERSITY OF MICHIGAN. Front Cover.
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... taken to obviate that difficulty ? There was some corres- pondence with Mr. Duncan upon the subject . What was done ... taken ? I do not know ; they can be taken there . Is the advantage of the station to which you alluded that you think ...
... taken to obviate that difficulty ? There was some corres- pondence with Mr. Duncan upon the subject . What was done ... taken ? I do not know ; they can be taken there . Is the advantage of the station to which you alluded that you think ...
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... taken away , none considering that the Righteous is taken away from the evil to come . " Brought before us , by the Church , as these words are , in the first lesson of this morning's service , * they would under any circumstances ...
... taken away , none considering that the Righteous is taken away from the evil to come . " Brought before us , by the Church , as these words are , in the first lesson of this morning's service , * they would under any circumstances ...
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Sara Kitty. Taken. On. The. Road. * I was driving home from a party in the suburbs. It's two in the morning, but now my car has died on the side of the road. It just all of a sudden stopped running. I was lucky to be able to ... Taken On The ...
Sara Kitty. Taken. On. The. Road. * I was driving home from a party in the suburbs. It's two in the morning, but now my car has died on the side of the road. It just all of a sudden stopped running. I was lucky to be able to ... Taken On The ...
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... taken on March 1 , 1974 , filed . 20 Discovery Deposition of MR . DONALD N. KORTE taken on March 1 , 1974 , filed . 20 Discovery Deposition of ERNEST BELLMAN taken on March 1 , 1974 , filed . 20 Discovery Deposition of MR . FOSTER H ...
... taken on March 1 , 1974 , filed . 20 Discovery Deposition of MR . DONALD N. KORTE taken on March 1 , 1974 , filed . 20 Discovery Deposition of ERNEST BELLMAN taken on March 1 , 1974 , filed . 20 Discovery Deposition of MR . FOSTER H ...
Common terms and phrases
ABCD angular points antiparallel axis of projection bisect Brocard circle Brocard point centre of projection centres of similitude circumcircle co-axal circles coincident collinear points complete quadrangle complete quadrilateral concurrent lines conic conjugate points conjugates with respect COR.-The corresponding points cross ratio DEFINITIONS diagonal triangle equi-cross external bisectors figure focoids form a harmonic four points four straight lines given circle harmonic conjugates harmonic pencil harmonic range imaginary points infinite distance inscribed isogonal conjugates joining the centres limiting points line at infinity line be drawn locus meet middle points nine-point circle opposite sides opposite vertices orthocentre pair of conjugate perpendicular points lie points of intersection points or rays POLE AND POLAR polygons radical axis radii range or pencil right angles segments semiperimeter sides BC sponding straight line joining symmedian point system of co-axal tangents drawn Theor THEOREM three circles transversal vanishing line vertex
Popular passages
Page 12 - D are said to be harmonic conjugates of each other with respect to the points A and B, and AB is said to be harmonically divided by the points C and D. If C and D are harmonic with respect to A and B, then A and B are harmonic with respect to C and D. Harmonic range The four points A, B, C, D are referred to as a harmonic range, denoted by (ABC D), \fC and D are harmonic conjugates with respect to A and B.
Page 7 - The bisectors of the angles of a triangle meet the opposite sides in three points on a straight line.
Page 19 - The locus of a point from which tangents drawn to two given circles are equal is a straight line*.
Page 20 - The locus of a point whose powers with respect to two given circles are equal is called the radical axis of the two given circles.
Page 6 - DEFINITION. Each of the three straight lines which join the angular points of a triangle to the middle points of the opposite sides is called a Median of the triangle. ON PROP. 37. 1. If, in the figure of Prop. 37, AC and BD intersect in K, shew that (i) the triangles AKB, DKC are equal in area, (ii) the quadrilaterals EBKA, FCKD are equal. 2. In the figure of I. 16, shew that the triangles ABC, FBC are equal in area. 3. On the...