A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 21
Euclides Charles Mansford. 2. The equilateral triangle may be described on either side ... equal to the less . 1 . Let AB and C be the two given straight lines , of ... sides BOOK I. 3 . 21.
Euclides Charles Mansford. 2. The equilateral triangle may be described on either side ... equal to the less . 1 . Let AB and C be the two given straight lines , of ... sides BOOK I. 3 . 21.
Página 22
... equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have their bases , or third sides equal ; and the two triangles shall be equal , and their other ...
... equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have their bases , or third sides equal ; and the two triangles shall be equal , and their other ...
Página 23
... equal to it . [ Ax . 8. ] Therefore the whole triangle ABC coincides with the whole triangle DEF , and is equal to ... sides be produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles ...
... equal to it . [ Ax . 8. ] Therefore the whole triangle ABC coincides with the whole triangle DEF , and is equal to ... sides be produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles ...
Página 25
... sides also which subtend , or are opposite to , the equal angles , shall be equal to one another . 1 . Let ABC be a triangle , having the angle ABC equal to the angle ACB . The side AC shall be equal to the side AB . For if AC be not equal ...
... sides also which subtend , or are opposite to , the equal angles , shall be equal to one another . 1 . Let ABC be a triangle , having the angle ABC equal to the angle ACB . The side AC shall be equal to the side AB . For if AC be not equal ...
Página 26
... equal to the angle ACB ; [ Hyp . ] therefore the base DO is equal to the base AB , and the triangle DBC is equal to ... sides . From this it will be seen that prop . 6 is the ' converse ' of prop . 5 . When we deny the truth of a proposition ...
... equal to the angle ACB ; [ Hyp . ] therefore the base DO is equal to the base AB , and the triangle DBC is equal to ... sides . From this it will be seen that prop . 6 is the ' converse ' of prop . 5 . When we deny the truth of a proposition ...
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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