The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Resultat 1-5 av 52
Side 2
... per- pendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . " A term or boundary is the extremity 2 EUCLID'S ELEMENTS . D ...
... per- pendicular to it . XI . An obtuse angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . " A term or boundary is the extremity 2 EUCLID'S ELEMENTS . D ...
Side 6
... less than two right angles , these straight lines being continually pro- duced , shall at length meet upon that side on which are the angles which are less than two right angles . " PROPOSITION I. PROBLEM . To describe an equilateral ...
... less than two right angles , these straight lines being continually pro- duced , shall at length meet upon that side on which are the angles which are less than two right angles . " PROPOSITION I. PROBLEM . To describe an equilateral ...
Side 7
... III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let A B and C be the two given straight lines , whereof AB is the greater . It is required to BOOK I , PROPS . II . III .
... III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let A B and C be the two given straight lines , whereof AB is the greater . It is required to BOOK I , PROPS . II . III .
Side 8
... less . From the point a draw ( 1. 2. ) the straight line AD equal to C ; and E B from the centre A , and at the distance AD , describe ( Post . 3. ) the circle DEF : AE shall be equal to c . Because A is the centre of the circle DEF ...
... less . From the point a draw ( 1. 2. ) the straight line AD equal to C ; and E B from the centre A , and at the distance AD , describe ( Post . 3. ) the circle DEF : AE shall be equal to c . Because A is the centre of the circle DEF ...
Side 10
... less , and join FC , GB . D A B C G Because AF is equal to AG , and AB to AC ( Hyp . ) , the two sides F A , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ...
... less , and join FC , GB . D A B C G Because AF is equal to AG , and AB to AC ( Hyp . ) , the two sides F A , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ...
Andre utgaver - Vis alle
The first three books of Euclid's Elements of geometry, with theorems and ... Euclid,Thomas Tate Uten tilgangsbegrensning - 1849 |
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