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 3
... is that which has three equal sides . XXV . An isosceles triangle is that which has only DEFINITIONS . 3 A circle is a plane figure contained by one line...
... is that which has three equal sides . XXV . An isosceles triangle is that which has only DEFINITIONS . 3 A circle is a plane figure contained by one line...
Σελίδα 4
An isosceles triangle is that which has only two sides equal . XXVI . A scalene triangle is that which has three unequal sides . 1 XXVII . A right - angled triangle is that which has a right angle . XXVIII . An obtuse - angled triangle ...
An isosceles triangle is that which has only two sides equal . XXVI . A scalene triangle is that which has three unequal sides . 1 XXVII . A right - angled triangle is that which has a right angle . XXVIII . An obtuse - angled triangle ...
Σελίδα 5
An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII . 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 ...
An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII . 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 ...
Σελίδα 6
“ If a straight line meet two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced ...
“ If a straight line meet two straight lines , so as to make the two interior angles on the same side of it taken together less than two right angles , these straight lines being continually produced ...
Σελίδα 8
If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides equal ...
If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides equal ...
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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