The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Σελίδα 1
III The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . V. A superficies is that which has only length and breadth . VI . The extremities of a superficies are lines . VII .
III The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . V. A superficies is that which has only length and breadth . VI . The extremities of a superficies are lines . VII .
Σελίδα 2
An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . 10 ' ' , ' is the extremity of any thing . " XIV . A figure is that which is inclosed by 2 EUCLID'S ...
An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . 10 ' ' , ' is the extremity of any thing . " XIV . A figure is that which is inclosed by 2 EUCLID'S ...
Σελίδα 11
... and on the same side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other extremity .
... and on the same side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other extremity .
Σελίδα 12
terminated in the extremity A of the base equal to one another , and likewise their sides CB , DB , that are terminated in B. E C A B A. B Join CD . Then , in the case in which the vertex of each of the triangles is without the other ...
terminated in the extremity A of the base equal to one another , and likewise their sides CB , DB , that are terminated in B. E C A B A. B Join CD . Then , in the case in which the vertex of each of the triangles is without the other ...
Σελίδα 13
... coincide with the sides ED , FD , but have a different situation , as EG , FG ; then , upon the same base EF , and upon the same side of it , there can be two triangles that have their sides wbich are terminated in one extremity of ...
... coincide with the sides ED , FD , but have a different situation , as EG , FG ; then , upon the same base EF , and upon the same side of it , there can be two triangles that have their sides wbich are terminated in one extremity of ...
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AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole