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 2
... 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 ELEMENTS . را .
... 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 ELEMENTS . را .
Σελίδα 3
A figure is that which is inclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure ...
A figure is that which is inclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure ...
Σελίδα 4
... triangle is that which has three acute angles . XXX . Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . 1 POSTULATES . 5 XXXI . An oblong is that 4 EUCLID'S ELEMENTS . 1 ...
... triangle is that which has three acute angles . XXX . Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . 1 POSTULATES . 5 XXXI . An oblong is that 4 EUCLID'S ELEMENTS . 1 ...
Σελίδα 5
All other four - sided figures besides these are called Trapeziums . XXXV . Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES .
All other four - sided figures besides these are called Trapeziums . XXXV . Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES .
Σελίδα 32
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 . E A For any rectilineal figure ABCDE can be divided into as many triangles as the ...
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 . E A For any rectilineal figure ABCDE can be divided into as many triangles as the ...
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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