Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1855 - 317 sider |
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Resultat 1-5 av 48
Side
... fall to the share either of himself , or of any other of the moderns . But , after all this was accomplished , something still remained to be done , since , notwithstanding the acknowledged excellence of EUCLID'S Ele- ments , it could ...
... fall to the share either of himself , or of any other of the moderns . But , after all this was accomplished , something still remained to be done , since , notwithstanding the acknowledged excellence of EUCLID'S Ele- ments , it could ...
Side 27
... falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF ...
... falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF ...
Side 28
... fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together ...
... fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together ...
Side 30
... falls upon them , the exterior angle ECD is equal to the interior and opposite angle ABC , but the angle ACE was shewn to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite ...
... falls upon them , the exterior angle ECD is equal to the interior and opposite angle ABC , but the angle ACE was shewn to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite ...
Side 38
... falls upon the parallels AH , EF , the angles AHF , HFE , are together equal ( 29. 1. ) to two right angles ; wherefore the angles BHF , HFE are less than two right angles ; But straight lines which with another straight line make the ...
... falls upon the parallels AH , EF , the angles AHF , HFE , are together equal ( 29. 1. ) to two right angles ; wherefore the angles BHF , HFE are less than two right angles ; But straight lines which with another straight line make the ...
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Elements of Geometry; Containing the First Six Books of Euclid ... Euclid,John Playfair Uten tilgangsbegrensning - 1814 |
Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1866 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference coincide cosine cylinder definition demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB produced PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore
Populære avsnitt
Side 3 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 122 - 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 74 - The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 44 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 5 - Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at any distance from that centre.
Side 290 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 277 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 143 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Side 7 - If two triangles have two sides of the one equal to two sides of the...
Side 26 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight lines AC, BD ; AC, BD are also equal and parallel.