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 16
Side 12
... equilateral triangle DEF ; then join AF ; the straight line AF bisects the triangle BA C. Because AD is equal to AE , and AF is com- mon to the two triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF , each ...
... equilateral triangle DEF ; then join AF ; the straight line AF bisects the triangle BA C. Because AD is equal to AE , and AF is com- mon to the two triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF , each ...
Side 36
... equilateral , likewise all its angles are right angles ; be- cause the straight line A D meeting the parallels AB , DE , the angles BAD , ADE are equal ( 1. 29. ) to two right angles ; but BAD is a right angle ; therefore also ADE is a ...
... equilateral , likewise all its angles are right angles ; be- cause the straight line A D meeting the parallels AB , DE , the angles BAD , ADE are equal ( 1. 29. ) to two right angles ; but BAD is a right angle ; therefore also ADE is a ...
Side 42
... equilateral : It is likewise rectangular ; for CG is parallel to BK , and CB meets them ; the angles KBC , GCB are therefore equal to two right angles ; and KBC is a right angle ; wherefore GCB is a right angle ; and therefore also the ...
... equilateral : It is likewise rectangular ; for CG is parallel to BK , and CB meets them ; the angles KBC , GCB are therefore equal to two right angles ; and KBC is a right angle ; wherefore GCB is a right angle ; and therefore also the ...
Side 85
... equilateral the angle ABD ( E. 1. 5. and 32. ) is one third of two right angles , or two thirds of the right angle ABC ; therefore the angle CBD is one third of the right angle CBA ; but since the angle DBA is bisected by BE , the ...
... equilateral the angle ABD ( E. 1. 5. and 32. ) is one third of two right angles , or two thirds of the right angle ABC ; therefore the angle CBD is one third of the right angle CBA ; but since the angle DBA is bisected by BE , the ...
Side 89
... equilateral triangle is equal to two - thirds of a right angle . 4. The diagonals of a parallelogram bisect one another . 5. The diagonals of a square cut each other at right angles . 6. The three sides of a triangle taken together ...
... equilateral triangle is equal to two - thirds of a right angle . 4. The diagonals of a parallelogram bisect one another . 5. The diagonals of a square cut each other at right angles . 6. The three sides of a triangle taken together ...
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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 angle ABC angle ACB angle AGH angle BAC angle BCD angle CAB angle EDF angle equal angles CBA 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 AB 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.