Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 sider |
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Side 135
... segment ABC is less than a femicircle ; because the centre of the circle is without the segment . But if the angle A B D be equal to the angle B AD ; if A D be made equal to BD or DC , the three right lines D A , DB , DC will be equal ...
... segment ABC is less than a femicircle ; because the centre of the circle is without the segment . But if the angle A B D be equal to the angle B AD ; if A D be made equal to BD or DC , the three right lines D A , DB , DC will be equal ...
Side 139
... segment A B C greater than a femicircle , is less than a right angle ; and the angle ADC in the fegment DA C , which is lefs than a femicircle , is greater than a right angle . Join A Б F E D 2 Join A E , Book III . 139 Euclid's Elements .
... segment A B C greater than a femicircle , is less than a right angle ; and the angle ADC in the fegment DA C , which is lefs than a femicircle , is greater than a right angle . Join A Б F E D 2 Join A E , Book III . 139 Euclid's Elements .
Side 140
... segment ADC , which is less than a femicircle . I fay moreover , the angle of a greater fegment contained by the circumference A B C , and the right line AC , is great- er than a right angle ; and the angle of the leffer segment ...
... segment ADC , which is less than a femicircle . I fay moreover , the angle of a greater fegment contained by the circumference A B C , and the right line AC , is great- er than a right angle ; and the angle of the leffer segment ...
Side 141
... Segments of the circle . For let the right line EF touch the circle A B CD in B , and draw any right line BD from B ... segment D A B ; and the angle F B D equal to any an- gle in the fegment D C B. For [ by 11. 1. ] draw BA from the ...
... Segments of the circle . For let the right line EF touch the circle A B CD in B , and draw any right line BD from B ... segment D A B ; and the angle F B D equal to any an- gle in the fegment D C B. For [ by 11. 1. ] draw BA from the ...
Side 142
... segments of the circle . Which was to be demonstrated . PROP . XXXIII . PROBL . To defcribe a fegment of a circle upon a given right line containing an angle equal to a given right - lined angle . Let AB be a given right line , and c ...
... segments of the circle . Which was to be demonstrated . PROP . XXXIII . PROBL . To defcribe a fegment of a circle upon a given right line containing an angle equal to a given right - lined angle . Let AB be a given right line , and c ...
Andre utgaver - Vis alle
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning tilgjengelig - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning tilgjengelig - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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Populære avsnitt
Side 247 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Side 248 - But it was proved that the angle AGB is equal to the angle at F ; therefore the angle at F is greater than a right angle : But by the hypothesis, it is less than a right angle ; which is absurd.
Side 18 - When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.
Side 32 - Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another; AB is parallel to CD.
Side 56 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 391 - KL: but the cylinder CM is equal to the cylinder EB, and the axis LN to the axis GH; therefore as the cylinder EB to...
Side 110 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Side 130 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 183 - FK : in the same manner it may be demonstrated, that FL, FM, FG are each of them equal to FH, or FK : therefore the five straight lines FG, FH, FK, FL, FM are equal to one another : wherefore the circle described from the centre F, at the distance of...