Relfe brothers' Euclid sheets, propositions 1-26, book 1 |
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Side
At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . ... therefore the angle is equal to the angle Wherefore , at the given point in the given straight line the angle is made equal ...
At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . ... therefore the angle is equal to the angle Wherefore , at the given point in the given straight line the angle is made equal ...
Side
If two straight lines cut one another , the vertical , or opposite angles shall be equal . ... but the angles have been shewn to be equal to two right angles ; wherefore the angles are equal to the angles take away from each the common ...
If two straight lines cut one another , the vertical , or opposite angles shall be equal . ... but the angles have been shewn to be equal to two right angles ; wherefore the angles are equal to the angles take away from each the common ...
Side
If at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to ... with it but which therefore is in the same straight line with Wherefore , if at a point , & c .
If at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to ... with it but which therefore is in the same straight line with Wherefore , if at a point , & c .
Side
The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . ... Wherefore , when a straight line , & c . are RELFE BROTHERS ' EUCLID SHEETS .
The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . ... Wherefore , when a straight line , & c . are RELFE BROTHERS ' EUCLID SHEETS .
Side
But when the two adjacent angles which one straight line makes with another straight line , are equal to one another , each of them is called a right angle : therefore each of the angles is a right angle . Wherefore from the given point ...
But when the two adjacent angles which one straight line makes with another straight line , are equal to one another , each of them is called a right angle : therefore each of the angles is a right angle . Wherefore from the given point ...
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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 base is equal BOOK BROTHERS EUCLID SHEETS called CHARTERHOUSE BUILDINGS common cut off equal demonstrated describe the circle describe the equilateral distance describe divide draw a straight draw the 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 interior opposite angles join let be greater line RELFE BROTHERS LONDON manner meeting namely point shall coincide possible PROPOSITIONS 1–26 proved equal PUBLISHED RELFE BROTHERS EUCLID remaining angles required to draw right angles shewn side is greater sides are equal sides are opposite sides be produced sides equal SIMILAR FORM straight line RELFE straight lines cut take any point terminated third angle third side three angles triangle are greater triangle is equal vertex wherefore the angle Wherefore the straight