The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 5.
Σελίδα 6
... coincide with one another , that is , which exactly fill the same space , are equal to one another . The whole is greater than its part . IX . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another ...
... coincide with one another , that is , which exactly fill the same space , are equal to one another . The whole is greater than its part . IX . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another ...
Σελίδα 9
... coincide with the point E , because AB is equal to DE . And AB coinciding with DE , 2 . AC shall coincide with DF , because the angle BAC is equal to the angle EDF ; wherefore also 3. The point C shall coincide with the point F ...
... coincide with the point E , because AB is equal to DE . And AB coinciding with DE , 2 . AC shall coincide with DF , because the angle BAC is equal to the angle EDF ; wherefore also 3. The point C shall coincide with the point F ...
Σελίδα 13
... coincide with the point F , because BC is equal to EF ; therefore BC coinciding with EF , 2 . BA and AC shall coincide with ED and DF ; for , if the base BC coincide with the base EF , but the sides BA , CA , do not coincide with the ...
... coincide with the point F , because BC is equal to EF ; therefore BC coinciding with EF , 2 . BA and AC shall coincide with ED and DF ; for , if the base BC coincide with the base EF , but the sides BA , CA , do not coincide with the ...
Σελίδα 64
... coincide , since the straight lines from the centres are equal . " II . A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . O III . Circles are said to touch one another , which ...
... coincide , since the straight lines from the centres are equal . " II . A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . O III . Circles are said to touch one another , which ...
Σελίδα 86
... coincide . Q.E.D. BROP . XXIV . - THEOREM . Similar segments of circles upon equal straight lines are equal to one ... coincide with the point D , because AB is equal to CD : therefore the straight line AB coinciding with CD , ( III . 23 ...
... coincide . Q.E.D. BROP . XXIV . - THEOREM . Similar segments of circles upon equal straight lines are equal to one ... coincide with the point D , because AB is equal to CD : therefore the straight line AB coinciding with CD , ( III . 23 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle