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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Página 5
A rhombus is that which has all its sides equal , but its angles are not riglit angles . XXXIII . A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles .
A rhombus is that which has all its sides equal , but its angles are not riglit angles . XXXIII . A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles .
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AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
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4 . The triangles BFC , CGB , are equal , and their remaining angles are equal , each to each , to which the equal sides are opposite ; therefore 5 . The angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG .
4 . The triangles BFC , CGB , are equal , and their remaining angles are equal , each to each , to which the equal sides are opposite ; therefore 5 . The angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG .
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If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB ...
If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB ...
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If at a point in a straight line , troo 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 .
If at a point in a straight line , troo 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 .
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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