Year 9: Loci Explained in Geometry

GOOD TIDINGS FOR THE WORLD
Robert Martin
Palm Beach Lakes church of Christ
Isaiah 61:1-3> 
1 “The Spirit of the Lord God is
upon Me, Because the Lord has anointed Me To
preach good tidings to the poor; He has sent Me to
heal the brokenhearted, To proclaim liberty to the
captives, And the opening of the prison to those
who are bound; 2 To proclaim the acceptable year
of the Lord, And the day of vengeance of our God;
To comfort all who mourn, 3 To console those who
mourn in Zion, To give them beauty for ashes, The
oil of joy for mourning, The garment of praise for
the spirit of heaviness; That they may be called
trees of righteousness, The planting of the Lord,
that He may be glorified.”
 
Luke 4:16-18> 
16 So He came to Nazareth, where
He had been brought up. And as His custom was,
He went into the synagogue on the Sabbath day,
and stood up to read. 17 And He was handed the
book of the prophet Isaiah. And when He had
opened the book, He found the place where it was
written:  18 "The Spirit of the Lord is upon Me,
Because He has anointed Me To preach the gospel
to the poor; He has sent Me to heal the
brokenhearted, To proclaim liberty to the captives
And recovery of sight to the blind, To set at liberty
those who are oppressed.
TO HEAL
THE
BROKEN-
HEARTED
(VERSE 1)
 
Psalm 147:3> 
 3 He heals the brokenhearted
And binds up their wounds.
 
Acts 28:27> 
27 For the hearts of this people have
grown dull.  Their ears are hard of hearing, And
their eyes they have closed, Lest they should see
with their eyes and hear with their ears, Lest they
should understand with their hearts and turn, So
that I should heal them.
TO GIVE
LIBERTY
TO THOSE
IN
CAPTIVITY
(VERSE 1)
 
 
John 8:31,32> 
31 Then Jesus said to those Jews
who believed Him, "If you abide in My word, you
are My disciples indeed.  32 And you shall know
the truth, and the truth shall make you free."
 
 
Galatians 5:1> 
1 Stand fast therefore in the liberty
by which Christ has made us free, and do not be
entangled again with a yoke of bondage.
TO
COMFORT
THOSE
WHO
MOURN
(VERSE 2)
 
 
2 Corinthians 1:3-5> 
3 Blessed be the God and
Father of our Lord Jesus Christ, the Father of
mercies and God of all comfort, 4 who comforts us
in all our tribulation, that we may be able to
comfort those who are in any trouble, with the
comfort with which we ourselves are comforted
by God. 5 For as the sufferings of Christ abound in
us, so our consolation also abounds through
Christ.
 
1 Thessalonians 5:11> 
11 Therefore comfort each
other and edify one another, just as you also are
doing.
TO GIVE
THEM
BEAUTY
(VERSE 3)
 
Romans 10:15> 
15 And how shall they preach
unless they are sent? As it is written: "How
beautiful are the feet of those who preach the
gospel of peace, Who bring glad tidings of good
things!"
 
2 Corinthians 5:17 > 
17 Therefore, if anyone is in
Christ, he is a new creation; old things have passed
away; behold, all things have become new.
“To make the wounded whole”.
“To heal the sin sick soul”.
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Discover the concept of loci in geometry through various scenarios involving distances, points, lines, and shapes. Explore how loci are represented and understand their significance in geometric reasoning. Engage in exercises designed to enhance your understanding of loci and their applications in real-world situations.

  • Geometry
  • Loci
  • Distances
  • Shapes
  • Exercises

Uploaded on Mar 04, 2025 | 0 Views


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  1. GOOD TIDINGS FOR THE WORLD Isaiah 61:1-3 Robert Martin Palm Beach Lakes church of Christ

  2. Isaiah 61:1-3> 1 The Spirit of the Lord God is upon Me, Because the Lord has anointed Me To preach good tidings to the poor; He has sent Me to heal the brokenhearted, To proclaim liberty to the captives, And the opening of the prison to those who are bound; 2 To proclaim the acceptable year of the Lord, And the day of vengeance of our God; To comfort all who mourn, 3 To console those who mourn in Zion, To give them beauty for ashes, The oil of joy for mourning, The garment of praise for the spirit of heaviness; That they may be called trees of righteousness, The planting of the Lord, that He may be glorified.

  3. Luke 4:16-18> 16 So He came to Nazareth, where He had been brought up. And as His custom was, He went into the synagogue on the Sabbath day, and stood up to read. 17 And He was handed the book of the prophet Isaiah. And when He had opened the book, He found the place where it was written: 18 "The Spirit of the Lord is upon Me, Because He has anointed Me To preach the gospel to the poor; He has sent Me to heal the brokenhearted, To proclaim liberty to the captives And recovery of sight to the blind, To set at liberty those who are oppressed.

  4. TO HEAL THE BROKEN- HEARTED (VERSE 1)

  5. Psalm 147:3> 3 He heals the brokenhearted And binds up their wounds. Acts 28:27> 27 For the hearts of this people have grown dull. Their ears are hard of hearing, And their eyes they have closed, Lest they should see with their eyes and hear with their ears, Lest they should understand with their hearts and turn, So that I should heal them.

  6. TO GIVE LIBERTY TO THOSE IN CAPTIVITY (VERSE 1)

  7. John 8:31,32> 31 Then Jesus said to those Jews who believed Him, "If you abide in My word, you are My disciples indeed. 32 And you shall know the truth, and the truth shall make you free." Galatians 5:1> 1 Stand fast therefore in the liberty by which Christ has made us free, and do not be entangled again with a yoke of bondage.

  8. TO COMFORT THOSE WHO MOURN (VERSE 2)

  9. 2 Corinthians 1:3-5> 3 Blessed be the God and Father of our Lord Jesus Christ, the Father of mercies and God of all comfort, 4 who comforts us in all our tribulation, that we may be able to comfort those who are in any trouble, with the comfort with which we ourselves are comforted by God. 5 For as the sufferings of Christ abound in us, so our consolation also abounds through Christ. 1 Thessalonians 5:11> 11 Therefore comfort each other and edify one another, just as you also are doing.

  10. TO GIVE THEM BEAUTY (VERSE 3)

  11. Romans 10:15> 15 And how shall they preach unless they are sent? As it is written: "How beautiful are the feet of those who preach the gospel of peace, Who bring glad tidings of good things!" 2 Corinthians 5:17 > 17 Therefore, if anyone is in Christ, he is a new creation; old things have passed away; behold, all things have become new.

  12. To heal the sin sick soul. To make the wounded whole .

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