A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 22
... angle DEF , and the angle ACB to the angle DFE . For if the triangle ABC be applied to the 2 , 3. triangle DEF , so that the point A may be on the point D , and the straight line AB on the straight line DE , the point B will coincide ...
... angle DEF , and the angle ACB to the angle DFE . For if the triangle ABC be applied to the 2 , 3. triangle DEF , so that the point A may be on the point D , and the straight line AB on the straight line DE , the point B will coincide ...
Página 23
... angles of the one coincide with the other angles of the other , and are equal to them , namely , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles , & c . Q.E.D. = The letters Q.E.D. quod ...
... angles of the one coincide with the other angles of the other , and are equal to them , namely , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles , & c . Q.E.D. = The letters Q.E.D. quod ...
Página 24
... angle FAG common to the two tri- angles AFC , AGB ; there- fore the base FC is equal D to the base GB , and the ... ACB , which are the angles at the base of the triangle ABC . [ Ax . 3. ] And it has also been proved that the angle FBC 24 ...
... angle FAG common to the two tri- angles AFC , AGB ; there- fore the base FC is equal D to the base GB , and the ... ACB , which are the angles at the base of the triangle ABC . [ Ax . 3. ] And it has also been proved that the angle FBC 24 ...
Página 25
... angle GCB , which are the angles on the other side of the base . Therefore ... ACB are equal to one another . 2. The opposite angles of a rhombus are equal ... angle ABC equal to the angle ACB . The side AC shall be equal to the side AB ...
... angle GCB , which are the angles on the other side of the base . Therefore ... ACB are equal to one another . 2. The opposite angles of a rhombus are equal ... angle ABC equal to the angle ACB . The side AC shall be equal to the side AB ...
Página 26
Euclides Charles Mansford. AC , CB , each to each ; and the angle DBC is equal to the angle ACB ; [ Hyp . ] therefore the base DO is equal to the base AB , and the triangle DBC is equal to the triangle ACB , [ I. 4. ] the less to the ...
Euclides Charles Mansford. AC , CB , each to each ; and the angle DBC is equal to the angle ACB ; [ Hyp . ] therefore the base DO is equal to the base AB , and the triangle DBC is equal to the triangle ACB , [ I. 4. ] the less to the ...
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A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal