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
1 A D را B E N.B. * When several angles are at one point B , any one of them is expressed by three letters ... standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ...
1 A D را B E N.B. * When several angles are at one point B , any one of them is expressed by three letters ... standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ...
Σελίδα 4
A right - angled triangle is that which has a right angle . XXVIII . An obtuse - angled triangle is ... Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . 1 POSTULATES . 5 XXXI .
A right - angled triangle is that which has a right angle . XXVIII . An obtuse - angled triangle is ... Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . 1 POSTULATES . 5 XXXI .
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
All right angles are equal to one another . XII . “ 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 ...
All right angles are equal to one another . XII . “ 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 ...
Σελίδα 14
The angle DAF is equal to the angle EAF ; wherefore 4 . The angle BAC is bisected by the straight line AF . Which was to be done . ... To draw a straight line at right angles to a given straight line , from a given point in the same .
The angle DAF is equal to the angle EAF ; wherefore 4 . The angle BAC is bisected by the straight line AF . Which was to be done . ... To draw a straight line at right angles to a given straight line , from a given point in the same .
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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