The first three books of Euclid's Elements of geometry, with theorems and problems, by T. TateLongman, Brown, Green, and Longmans, 1849 - 108 σελίδες |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 9
... common to the two triangles AFC , AGB ; therefore the base FC is equal ( 1. 4. ) to the base GB , and the tri- angle AFC to the triangle AGB ; and the re- maining angles of the one are equal ( 1. 4. ) to the remaining angles of the ...
... common to the two triangles AFC , AGB ; therefore the base FC is equal ( 1. 4. ) to the base GB , and the tri- angle AFC to the triangle AGB ; and the re- maining angles of the one are equal ( 1. 4. ) to the remaining angles of the ...
Σελίδα 10
... common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the angle ACB ( Hyp . ) ; therefore the base DC is equal to the base AB , and the triangle DBC is equal to the triangle ...
... common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the angle ACB ( Hyp . ) ; therefore the base DC is equal to the base AB , and the triangle DBC is equal to the triangle ...
Σελίδα 12
... common to the two triangles ACD , BCD ; the two sides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ( Constr . ) ; there- fore the base AD is equal to the base ( I. 4. ) DB , and the straight ...
... common to the two triangles ACD , BCD ; the two sides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ( Constr . ) ; there- fore the base AD is equal to the base ( I. 4. ) DB , and the straight ...
Σελίδα 13
... common segment . E If it be possible , let the two straight lines ABC , ABD have the segment AB common to both of them . From the point B draw BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal ( 1 ...
... common segment . E If it be possible , let the two straight lines ABC , ABD have the segment AB common to both of them . From the point B draw BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal ( 1 ...
Σελίδα 14
... common to the two triangles FHC , GHC , the two sides FH , HC are equal to the twỏ GH , HC , each to each ; and the base CF is equal ( 1. Def . 15. ) to the base CG ; therefore the angle CHF is equal ( 1. 8. ) to the angle CHG ; and ...
... common to the two triangles FHC , GHC , the two sides FH , HC are equal to the twỏ GH , HC , each to each ; and the base CF is equal ( 1. Def . 15. ) to the base CG ; therefore the angle CHF is equal ( 1. 8. ) to the angle CHG ; and ...
Άλλες εκδόσεις - Προβολή όλων
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 5 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 20 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 30 - Parallelograms upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.