## Relfe brothers' Euclid sheets, propositions 1-26, book 1 |

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Side

... wherefore also the angle is equal to the angle ; the less angle equal to the greater , which is

... wherefore also the angle is equal to the angle ; the less angle equal to the greater , which is

**impossible**; therefore is not unequal to is equal to Hence , in the triangles ; because is equal to , and to and the angle is equal to ... Side

... take away from these equals the common angle therefore the remaining angle is equal to the remaining angle ; the less angle equal to the greater , which is

... take away from these equals the common angle therefore the remaining angle is equal to the remaining angle ; the less angle equal to the greater , which is

**impossible**: therefore is not in the same straight line with And in the same ... Side

... but the angle is equal to the angle wherefore the angle is equal to the angle the less equal to the greater angle , which is

... but the angle is equal to the angle wherefore the angle is equal to the angle the less equal to the greater angle , which is

**impossible**. Therefore two straight lines cannot have a common segment . RELFE BROTHERS EUCLID SHEETS . Side

... are terminated in the other extremity ; but this is

... are terminated in the other extremity ; but this is

**impossible**. Therefore , if the base coincide with the base the sides cannot ut coincide with the sides ; wherefore likewise the angle coincides ith the angle and is equal to it . Side

... because the side is equal to in the triangle therefore the angle is equal to the angle ; but the angle was proved greater than the angle hence the angle is both equal to , and greater than the angle ; which is

... because the side is equal to in the triangle therefore the angle is equal to the angle ; but the angle was proved greater than the angle hence the angle is both equal to , and greater than the angle ; which is

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Relfe Brothers' Euclid Sheets, Propositions 1-26, Bok 1 Euclides Ingen forhåndsvisning tilgjengelig - 2015 |

### Vanlige uttrykk og setninger

adjacent angles angle contained angle is equal angle is greater angle Wherefore angles add base is equal BOOK BROTHERS EUCLID SHEETS CHARTERHOUSE BUILDINGS circles cut common common segment cut off equal demonstrated describe the circle describe the equilateral distance describe divide draw a straight drawn ends equal angles equal sides equilateral triangle exterior angle extremity given point given rectilineal angle given straight line greater angle greater side impossible included angle interior and opposite join line RELFE BROTHERS LONDON manner meeting namely point draw point shall coincide possible PROPOSITIONS 1–26 proved equal PUBLISHED RELFE BROTHERS EUCLID remaining angles right angles shewn side opposite sides are equal sides are greater sides are opposite sides be produced sides equal SIMILAR FORM straight line RELFE straight lines cut take any point terminated thing are equal third angle third side three given straight triangle are greater triangle is equal vertex wherefore the angle