The first two books of the Elements of Euclid, with additional figures, notes, explanations, and deductions, by N. Pocock1852 |
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Αποτελέσματα 1 - 5 από τα 30.
Σελίδα 74
... square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . From the point A draw a AC at right angles to AB ; and make AD equal to AB , ⚫ xxxi . 1. and through the point D draw ...
... square upon a given straight line . Let AB be the given straight line ; it is required to describe a square upon AB . From the point A draw a AC at right angles to AB ; and make AD equal to AB , ⚫ xxxi . 1. and through the point D draw ...
Σελίδα 76
... square . Cut the figure out in cardboard , and let the squares be moveable on the sides of the first constructed ... AC . a On BC describe the square BDEC , and on BA , AC the squares GB , HC ; b xxxi . 1. and through A draw AL parallel ...
... square . Cut the figure out in cardboard , and let the squares be moveable on the sides of the first constructed ... AC . a On BC describe the square BDEC , and on BA , AC the squares GB , HC ; b xxxi . 1. and through A draw AL parallel ...
Σελίδα 78
... AC : Wherefore the square upon the side BC is equal to the squares upon the sides BA , AC . Therefore , in any right - angled triangle , & c . Q. E. D. a b xi 1 . PROP . XLVIII . THEOR . If the square described upon one of the sides of ...
... AC : Wherefore the square upon the side BC is equal to the squares upon the sides BA , AC . Therefore , in any right - angled triangle , & c . Q. E. D. a b xi 1 . PROP . XLVIII . THEOR . If the square described upon one of the sides of ...
Σελίδα 79
... AC are equal to the two BA , AC ; and the base DC is equal to the base BC ; с therefore the angle DAC is equal to the angle BAC ; but DAC is a right angle ; therefore also BAC is a right angle . Therefore , if the square , & c ...
... AC are equal to the two BA , AC ; and the base DC is equal to the base BC ; с therefore the angle DAC is equal to the angle BAC ; but DAC is a right angle ; therefore also BAC is a right angle . Therefore , if the square , & c ...
Σελίδα 88
... square of the whole line . Let the straight line AB be divided into any two parts in the point C ; the rectangle contained by AB , BC ; together with the rectangle * AB , AC , shall be equal to the square of AB . a Upon AB describe the ...
... square of the whole line . Let the straight line AB be divided into any two parts in the point C ; the rectangle contained by AB , BC ; together with the rectangle * AB , AC , shall be equal to the square of AB . a Upon AB describe the ...
Άλλες εκδόσεις - Προβολή όλων
The First Two Books of the Elements of Euclid, with Additional Figures ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angled triangle angles CBA angles equal Arithmetic base BC BC is equal bisected BOOK bound centre cloth coincide Delectus diameter double English Notes equal to BC equal to twice Eton Eton College Euclid's Elements Exercises exterior angle four right angles Geography given point given rectilineal angle given straight line gnomon greater Greek half a right interior and opposite isosceles JANE MARCET join Let ABC Let the straight Lexicon M.A. New Edition Maps opposite angle parallel to CD parallelogram perpendicular Post 8vo produced Proposition rectangle BC rectangle contained rectilineal figure remaining angle rhombus right angles Schools Shrewsbury School sides BA sides equal square described square of AC THEOR triangle ABC twice the rectangle VALPY Valpy's wherefore xxxi
Δημοφιλή αποσπάσματα
Σελίδα 18 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 67 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 51 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 109 - ... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced.
Σελίδα 12 - Mrs. R. Lee's Elements of Natural History ; or, First Principles of Zoology : Comprising the Principles of Classification, interspersed with amusing and instructive Accounts of the most remarkable Animals.
Σελίδα 53 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Σελίδα 76 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Σελίδα 34 - ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight line with CB.
Σελίδα 11 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 37 - 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.