The first three books of Euclid's Elements of geometry, with theorems and problems, by T. TateLongman, Brown, Green, and Longmans, 1849 - 108 sider |
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Resultat 6-10 av 14
Side 27
... angles BAC , ACE are equal ( 1. 29. ) . Again , because AB is parallel to CE , and BD falls upon them , the exterior ... adjacent exterior ABD , is equal ( 1. 13. ) to two right angles ; therefore all the in- A terior , together ...
... angles BAC , ACE are equal ( 1. 29. ) . Again , because AB is parallel to CE , and BD falls upon them , the exterior ... adjacent exterior ABD , is equal ( 1. 13. ) to two right angles ; therefore all the in- A terior , together ...
Side 29
... adjacent to their equal angles ; therefore their other sides shall be equal , each to each , and the third angle of ... angles of parallelograms are equal to one another ; also , their diameter bisects them ; for AB being equal to ...
... adjacent to their equal angles ; therefore their other sides shall be equal , each to each , and the third angle of ... angles of parallelograms are equal to one another ; also , their diameter bisects them ; for AB being equal to ...
Side 35
... angles ; wherefore the angles BHF , HFE are less than two right angles : But straight lines which with another ... adjacent angles B CK H M equal to two right angles , KH is in the c6 BOOK I. PROP . XLV . 35 straight line HF falls ...
... angles ; wherefore the angles BHF , HFE are less than two right angles : But straight lines which with another ... adjacent angles B CK H M equal to two right angles , KH is in the c6 BOOK I. PROP . XLV . 35 straight line HF falls ...
Side 55
... adjacent angles equal to one another , each of the angles is a right angle ( 1. Def . 10. ) : Therefore the angle GDB is a right angle : But FDB is likewise a right angle ; wherefore the angle FDB is equal to the angle GDB , the ...
... adjacent angles equal to one another , each of the angles is a right angle ( 1. Def . 10. ) : Therefore the angle GDB is a right angle : But FDB is likewise a right angle ; wherefore the angle FDB is equal to the angle GDB , the ...
Side 56
... angles ; and , if it cuts it at right angles , it shall bisect it . Let ABC be a circle , and let CD , a straight ... adjacent angles equal to one another , each of them is a right ( 1. Def . 10. ) angle : Therefore each of the ...
... angles ; and , if it cuts it at right angles , it shall bisect it . Let ABC be a circle , and let CD , a straight ... adjacent angles equal to one another , each of them is a right ( 1. Def . 10. ) angle : Therefore each of the ...
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The first three books of Euclid's Elements of geometry, with theorems and ... Euclides Uten tilgangsbegrensning - 1851 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
ABCD adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles CAB base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle fore given point given rectilineal angle given straight line gnomon greater half a right hypotenuse isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle
Populære avsnitt
Side 6 - 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 5 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 20 - If two triangles have two sides of the one equal to two sides of the...
Side 30 - Parallelograms upon equal bases, and between the same parallels, are equal to one another.
Side 17 - Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles.
Side 84 - IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, be equal to the square of the line which meets it, the line which meets it shall touch the circle.
Side 82 - If from any point without a circle two straight lines be drawn, one of -which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Side 11 - UPON the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity.
Side 19 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third, (i.
Side 7 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.