The first three books of Euclid's Elements of geometry, with theorems and problems, by T. TateLongman, Brown, Green, and Longmans, 1849 - 108 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 8.
Σελίδα 41
... rectangle contained by the two parts , together with the square of the aforesaid part . Let the straight line AB be ... twice the rectangle contained by the parts . Let the straight line AB be divided into any two parts in c ; the square ...
... rectangle contained by the two parts , together with the square of the aforesaid part . Let the straight line AB be ... twice the rectangle contained by the parts . Let the straight line AB be divided into any two parts in c ; the square ...
Σελίδα 42
... rectangle contained by AC , CB , for GC is equal to CB ; Therefore GE is also equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice the rectangle AC , CB : And HF , CK are the squares of AC , CB ; wherefore the four ...
... rectangle contained by AC , CB , for GC is equal to CB ; Therefore GE is also equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice the rectangle AC , CB : And HF , CK are the squares of AC , CB ; wherefore the four ...
Σελίδα 44
... rectangle AD , DB : Add to each of these LG , which is equal to the square of CB , therefore the rectangle AD , DB ... twice the rectangle contained by the whole and that part , together with the square of the other part . Let the ...
... rectangle AD , DB : Add to each of these LG , which is equal to the square of CB , therefore the rectangle AD , DB ... twice the rectangle contained by the whole and that part , together with the square of the other part . Let the ...
Σελίδα 50
... twice the rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight line in- tercepted without the triangle between the perpendicular and the obtuse angle . A Let ABC be an obtuse angled ...
... twice the rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight line in- tercepted without the triangle between the perpendicular and the obtuse angle . A Let ABC be an obtuse angled ...
Σελίδα 51
... twice the rectangle CB , BD . B A D First , let AD fall within the triangle ABC ; and because the straight line CB is divided into two parts in the point D , the squares of CB , BD are equal ( II . 7. ) to twice the rect- angle ...
... twice the rectangle CB , BD . B A D First , let AD fall within the triangle ABC ; and because the straight line CB is divided into two parts in the point D , the squares of CB , BD are equal ( II . 7. ) to twice the rect- angle ...
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.