Geometry Without Axioms; Or the First Book of Euclid's Elements. With Alterations and Familiar Notes; and an Intercalary Book in which the Straight Line and Plane are Derived from Properties of the Sphere ...: To which is Added an Appendix ... |
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Σελίδα 51
And the straight line which stands on the other is called a perpendicular to it ; and is also said to be at right angles to it . XXXVIII . An angle greater than a right angle , is called obtuse . XXXIX . An angle less than a right angle ...
And the straight line which stands on the other is called a perpendicular to it ; and is also said to be at right angles to it . XXXVIII . An angle greater than a right angle , is called obtuse . XXXIX . An angle less than a right angle ...
Σελίδα 52
The other two sides are sometimes called the base and perpendicular . XLIX . A triangle which has an obtuse angle , is called obtuse - angled . L. A triangle which has all its angles acute , is called acule - angled . LI .
The other two sides are sometimes called the base and perpendicular . XLIX . A triangle which has an obtuse angle , is called obtuse - angled . L. A triangle which has all its angles acute , is called acule - angled . LI .
Σελίδα 68
13 . right angles , BAC will be in one and the same straight line , and DE be bisected by the point A , and AF be perpendicular to BAC and bisect the angle BAC by dividing it into two right angles . Third Case ; if the angle BAC is ...
13 . right angles , BAC will be in one and the same straight line , and DE be bisected by the point A , and AF be perpendicular to BAC and bisect the angle BAC by dividing it into two right angles . Third Case ; if the angle BAC is ...
Σελίδα 76
To draw a straight line perpendicular to an assigned straight line of unlimited length , from an assigned point See Note . without it . Let AB be the assigned straight line , which may be prolonged to any length that is desired ...
To draw a straight line perpendicular to an assigned straight line of unlimited length , from an assigned point See Note . without it . Let AB be the assigned straight line , which may be prolonged to any length that is desired ...
Σελίδα 77
23 . them , a straight line be drawn * perpendicular to the other ; the perpendicular shall fall on that side of C , on which is the acute angle . B с For the perpendicular cannot fall upon the point C ; because + Нур . ACD ist not a ...
23 . them , a straight line be drawn * perpendicular to the other ; the perpendicular shall fall on that side of C , on which is the acute angle . B с For the perpendicular cannot fall upon the point C ; because + Нур . ACD ist not a ...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD added alternate angle ABC angle BAC applied assigned Axiom axis base bisected body Book called centre change of place circle coincide common consequently Constr continually demonstrated described distance double drawn equal establish Euclid exterior angle extremities fall figure formed four right angles Geometry given straight line greater half impossible instance INTERC interior join kind less magnitude manner meet moved Note opposite parallel parallelogram parity of reasoning pass perpendicular plane portion prolonged proof Prop PROPOSITION proved radius remaining remaining angle respectively rest right angles Second self-rejoining line shown situation space sphere sphere whose centre square straight line surface taken terminated thing third side touch triangle triangle ABC true turned unequal universally Wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | Geometry Without Axioms; Or the First Book of Euclid's Elements. With Alterations and Familiar Notes; and an Intercalary Book in which the Straight Line and Plane are Derived from Properties of the Sphere ...: To which is Added an Appendix ... |
| Συγγραφέας | Thomas Perronet Thompson |
| Έκδοση | 4 |
| Εκδότης | Robert Heward, 1833 |
| Πρωτότυπο από | Πανεπιστήμιο της Λωζάνης |
| Ψηφιοποιήθηκε στις | 8 Μάιος 2009 |
| Μέγεθος | 150 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |