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
A plane rectilineal angle is the inclination of two st.aight lines to one another , which meet together , but are not in the same straight line . ... XIV . A figure is that which is inclosed by 2 EUCLID'S ELEMENTS . را ...
A plane rectilineal angle is the inclination of two st.aight lines to one another , which meet together , but are not in the same straight line . ... XIV . A figure is that which is inclosed by 2 EUCLID'S ELEMENTS . را ...
Σελίδα 3
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 ... Rectilineal figures are those which are contained by straight lines .
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 ... Rectilineal figures are those which are contained by straight lines .
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 ...
Σελίδα 42
To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a ...
To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a ...
Σελίδα 43
The whole rectilineal figure ABCD is equal to the whole parallelogram KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to ...
The whole rectilineal figure ABCD is equal to the whole parallelogram KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to ...
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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