The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 63
... rectangle CF , FA , together with the square of AE , is equal to the square of EB : And the squares of BA , AE are ... twice the rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight line ...
... rectangle CF , FA , together with the square of AE , is equal to the square of EB : And the squares of BA , AE are ... twice the rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight line ...
Side 64
... twice the rectangle BC , CD . A Because the straight line BD is divided into two parts in the point c , the square of BD is equal ( II . 4. ) to the squares of BC , CD , and twice the rectangle BC , CD : To each of these equals add the ...
... twice the rectangle BC , CD . A Because the straight line BD is divided into two parts in the point c , the square of BD is equal ( II . 4. ) to the squares of BC , CD , and twice the rectangle BC , CD : To each of these equals add the ...
Side 65
... twice the rectangle CB , BD . B D C 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 rectangle contained ...
... twice the rectangle CB , BD . B D C 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 rectangle contained ...
Side 66
Euclides Thomas Tate. is less than the squares of A B , BC by twice the rectangle DB , BC . B Lastly , let the side AC be perpendicular to BC ; then is BC the straight line be- tween the perpendicular and the acute angle at B ; and it is ...
Euclides Thomas Tate. is less than the squares of A B , BC by twice the rectangle DB , BC . B Lastly , let the side AC be perpendicular to BC ; then is BC the straight line be- tween the perpendicular and the acute angle at B ; and it is ...
Side 122
... triangle BDA is equal to the triangle CDA ; therefore , taking the former ... twice AD . Produce AD to Q making DQ equal to AD ; and join BQ . B Q D Since ... rectangle between the same parallels , and having its base equal to the sum ...
... triangle BDA is equal to the triangle CDA ; therefore , taking the former ... twice AD . Produce AD to Q making DQ equal to AD ; and join BQ . B Q D Since ... rectangle between the same parallels , and having its base equal to the sum ...
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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 |
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
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH 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 given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite 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