## Elementary geometry |

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Side 26

En . Let ACB be a triangle , and from the ends of the side AB let two straight lines AP , BP be drawn to a point P within the triangle ; it is required to prove that AP and PB are less than AC and CB , but the

En . Let ACB be a triangle , and from the ends of the side AB let two straight lines AP , BP be drawn to a point P within the triangle ; it is required to prove that AP and PB are less than AC and CB , but the

**angle APB**greater than the ... Side 27

but the

but the

**angle APB**is greater than the angle PQB ; much more then is the**angle APB**greater than the angle AcB * . ... but the included angles unequal , their bases are unequal , the base of that which has the greater angle being greater ... Side 136

point on the circumference of a circle ; it is required to prove that the

point on the circumference of a circle ; it is required to prove that the

**angle APB**is half of the**angle AOB**standing on the same arc . Proof . Join PO , and produce it to Q. Then because OA is equal to OP ; therefore the angle OAP is ... Side 137

The

The

**angle**subtended by the chord of a segment at a point within it is greater than , and at a point outside its segment on the same side of the chord as the segment , is less than , the**angle**in the segment . Part . Ex . Let**APB**be a ... Side 26

En . Let ACB be a triangle , and from the ends of the side AB let two straight lines AP , BP be drawn to a point P within the triangle ; it is required to prove that AP and PB are less than AC and CB , but the

En . Let ACB be a triangle , and from the ends of the side AB let two straight lines AP , BP be drawn to a point P within the triangle ; it is required to prove that AP and PB are less than AC and CB , but the

**angle APB**greater than the ...### Hva folk mener - Skriv en omtale

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### Vanlige uttrykk og setninger

ABCD adjacent angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided draw drawn Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given point given straight line greater half Hence Illustrations included inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal

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