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From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle, because the angle adjacent to it is equal to the same two ; (i.
The Elements of Euclid,: In which the Propositions are Demonstrated in a New ... - Σελίδα 19
των Euclid - 1776 - 264 σελίδες
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## A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

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...conf.theAng.A + ABC + BCA(eq.FBA+ABC+CBG) are equal to two Right Angles. - - - C. 3. Th. i. CnR. i. Hence, if one Angle of a Triangle be equal to the other two Angles, it is a Right one. For, if either Side, containing the Right Angle, be produced \ the external...

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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...of the left « fegment is faid to be lefs, than a right angle.' CoR. From this it is manifeft, that if one angle of a triangle be equal to the other two, it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the adjacent...

## The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

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...be a right one, each of the other angles will be half a right one. 5. Any angle in an lequilateral triangle is one third of two right angles, or two...produced, the adjacent angle is equal to the other two ; therefore each of them are right angles. 7. All the inward angles of any right lined figure make...

## The First Six Books: Together with the Eleventh and Twelfth

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...angle of thelcfa ' fegment is faid to be lefs, than a right angle.' CoR. From this it is manifeft, that if one angle of a triangle be equal to the other two, it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the ad jacent...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...of the lefs feg~ient is faid to be lefs .' than a right angle.' CoR. From this it is Tnanifcit, that if one angle of a triangle be equal to the other two, it is a right angle, becaufe the angle Adjacent to it is equal to the fame two ; and when the adjacent...

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...wherefore the angle BAC is a right angle. Which was to be demonftrated. Cor From this it is manifeft that if one angle of a triangle be equal to the other two it is a right angle : for this reafon becaufe the adjacent angle is equal to the fame two : but (by...

## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

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...angle of the lefs fegment is faid to be lefs * than a right angle.' CoR. From this it is manifeft, that if one angle of a triangle be equal to the other two, it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the adjacent...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...right angle. Therefore, in a circle, Book in. &c. QED COR. From the demonstration it is manifest that if one angle of a triangle be equal to the other two angles, it is a right angle. PROP. XXXII. THEOR. IF a straight line touch a circle, and from the point...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...of the less segment is said to be less, than a right ' angle.' COR. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...greater than a right angle. Therefore, in a circle, &c. Q,. ED COR. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent...