Euclid, book i., propositions i. to xxvi., with exercises and alternative proofs [by T. Dalton].1877 |
Inni boken
Resultat 1-5 av 10
Side 3
... angle is the inclination of two straight lines to one another , which meet together but are not in the same straight ... BAC , or CAB , or simply as the angle A. But none of the angles FEG , DEF , DEG , can be expressed as the angle E ...
... angle is the inclination of two straight lines to one another , which meet together but are not in the same straight ... BAC , or CAB , or simply as the angle A. But none of the angles FEG , DEF , DEG , can be expressed as the angle E ...
Side 12
... angle BAC equal to the included angle EDF , then shall the base BC be equal to the base EF , and the triangle ABC to the triangle DEF , and the other angles , each to each , to which the equal sides are opposite , namely , the angle ABC to ...
... angle BAC equal to the included angle EDF , then shall the base BC be equal to the base EF , and the triangle ABC to the triangle DEF , and the other angles , each to each , to which the equal sides are opposite , namely , the angle ABC to ...
Side 13
Euclides Thomas Dalton. 3 : The vertical angle BAC of an isosceles triangle ABC is bisected ( i.e divided into two ... angle of an isosceles triangle ; shew that it also bisects the base , and at right angles . 7. From the sides AB , AC ...
Euclides Thomas Dalton. 3 : The vertical angle BAC of an isosceles triangle ABC is bisected ( i.e divided into two ... angle of an isosceles triangle ; shew that it also bisects the base , and at right angles . 7. From the sides AB , AC ...
Side 15
... angle BFC has been shewn equal to the included angle CGB ; therefore these ... BAC . 2. If two isosceles triangles stand upon opposite sides of the same ... angle DBG is equal to the angle ECF . 4. If a point G be found in an equilateral ...
... angle BFC has been shewn equal to the included angle CGB ; therefore these ... BAC . 2. If two isosceles triangles stand upon opposite sides of the same ... angle DBG is equal to the angle ECF . 4. If a point G be found in an equilateral ...
Side 17
Euclides Thomas Dalton. Let ABC be a triangle , having the angle ABC equal to ... BAC . 3. If G is a point within an equilateral triangle such that the ... angle B is double of the angle C ; shew that the line which bisects the angle B ...
Euclides Thomas Dalton. Let ABC be a triangle , having the angle ABC equal to ... BAC . 3. If G is a point within an equilateral triangle such that the ... angle B is double of the angle C ; shew that the line which bisects the angle B ...
Andre utgaver - Vis alle
Euclid, Book I., Propositions I. to XXVI., with Exercises and Alternative ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Euclid, Book I., Propositions I. to Xxvi., With Exercises and Alternative ... Euclides Ingen forhåndsvisning tilgjengelig - 2023 |
Euclid, Book I., Propositions I. to Xxvi., With Exercises and Alternative ... Euclides Ingen forhåndsvisning tilgjengelig - 2023 |
Vanlige uttrykk og setninger
AC is equal ACD is greater angle ABC angle ACB angle BAC angle BCD angle contained angle DEF angle DFE angle EDF angle equal base BC bisects the angle centre circle circumference coincide common constr Construction Demonstration describe the circle distance Divide draw a straight equal angles equal sides equal to CD equidistant equilateral triangle Euclid exterior angle extremities figure Find a point four given point given straight line greater Hence impossible interior intersect isosceles triangle join length less Let ABC likewise line BC meet middle point namely opposite angle opposite sides placed plane position PROBLEM produced proof prop PROPOSITION Prove quadrilateral remainder respects right angles shew shewn side AC sides equal stands taken terminated THEOREM thing triangle ABC triangle DEF triangles be equal unequal whole
Populære avsnitt
Side 39 - IF two triangles have two sides of the one equal to two sides of the...
Side 25 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Side 4 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 7 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 7 - Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal to one another.
Side 36 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle.
Side 37 - ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third.
Side 18 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and likewise those which are terminated in the other extremity.
Side 29 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight lines...
Side 3 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.