Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of] Algebra |
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Page 5
... opposite . D Let ABC , DEF , be two tri- angles , which have the sides AB , AC , equal to DE , DF , each to each , viz . , 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 ...
... opposite . D Let ABC , DEF , be two tri- angles , which have the sides AB , AC , equal to DE , DF , each to each , viz . , 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 ...
Page 6
Stewart W. and co. triangle DEF ; and the other angles to which the equal sides are opposite shall be equal , each to cach , viz . , ABC to DEF , and ACB to DFE . For , if the triangle ABC be applied to DEF , so that the point A may be ...
Stewart W. and co. triangle DEF ; and the other angles to which the equal sides are opposite shall be equal , each to cach , viz . , ABC to DEF , and ACB to DFE . For , if the triangle ABC be applied to DEF , so that the point A may be ...
Page 7
... angle BFC is equal to CGB , and BC is common to the two triangles BFC , CGB ; wherefore the triangles are equal and their remaining angles each to each , to which the equal sides are opposite ; therefore FBC is equal to GCB , and BCF to ...
... angle BFC is equal to CGB , and BC is common to the two triangles BFC , CGB ; wherefore the triangles are equal and their remaining angles each to each , to which the equal sides are opposite ; therefore FBC is equal to GCB , and BCF to ...
Page 13
... angle ; but , if not , from the point B draw BE at right angles to CD ... opposite sides of it , make the adja- cent angles together equal to two ... opposite sides of AB , make the adjacent angles ABC , ABD , equal together to two right ...
... angle ; but , if not , from the point B draw BE at right angles to CD ... opposite sides of it , make the adja- cent angles together equal to two ... opposite sides of AB , make the adjacent angles ABC , ABD , equal together to two right ...
Page 14
... opposite , angles shall be equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle AEC shall be equal to the angle DEB , and CEB to AED . Because the straight line AE makes with CD the angles CEA , AED , ...
... opposite , angles shall be equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle AEC shall be equal to the angle DEB , and CEB to AED . Because the straight line AE makes with CD the angles CEA , AED , ...
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Stewart's Specific Subjects. Euclid. [1st] (-3rd Stage). [With 2 Issues Of ... Stewart W and Co No preview available - 2015 |
Common terms and phrases
ABC is equal adjacent angles alternate angles angle ABC angle ACD angle AGH angle BAC angle EDF angles CBA angles equal base BC bisect centre coincide cows cubic feet diameter divided equal sides equal to AB equal to BC equilateral triangle exterior angle figure Find the value fore given point given rectilineal angle given straight line gnomon History of England HOLBORN VIADUCT inches interior and opposite join length less Let ABC likewise opposite angle parallel to CD parallelogram perpendicular pigs produced quantity rectangle contained remaining angle right angles shillings side BC sides are opposite sides equal solid content square of AC Stewart Ross STEWART'S third angle trapezium triangle ABC twice the rectangle whole x²y yards
Popular passages
Page 19 - If two triangles have two sides of the one equal to two sides of the...
Page 1 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
Page 8 - Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another.
Page 16 - Any two sides of a triangle are together greater than the third side.
Page 12 - IF a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Page 5 - 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.